Digital control systems (dcs) lecture 18-19-20Ali Rind
This document discusses digital control systems and related topics such as difference equations, z-transforms, and mapping between the s-plane and z-plane. It begins with an outline of topics to be covered including difference equations, z-transforms, inverse z-transforms, and the relationship between the s-plane and z-plane. Examples are provided to illustrate difference equations, z-transforms, and mapping poles between the two planes. Standard z-transforms of discrete-time signals like the unit impulse and sampled step are also defined.
Modern Control - Lec07 - State Space Modeling of LTI SystemsAmr E. Mohamed
The document provides an overview of state-space representation of linear time-invariant (LTI) systems. It defines key concepts such as state variables, state vector, state equations, and output equations. Examples are given to show how to derive the state-space models from differential equations describing dynamical systems. Specifically, it shows how to 1) select state variables, 2) write first-order differential equations as state equations, and 3) obtain output equations to fully represent LTI systems in state-space form.
This document discusses state space analysis and related concepts. It defines state as a group of variables that summarize a system's history to predict future outputs. The minimum number of state variables required is equal to the number of storage elements in the system. These state variables form a state vector. The document also covers state space representation, diagonalization, solving state equations, the state transition matrix, and concepts of controllability and observability.
NONLINEAR CONTROL SYSTEM(Phase plane & Phase Trajectory Method)Niraj Solanki
This document discusses nonlinear control systems using phase plane and phase trajectory methods. It defines nonlinear systems and common physical nonlinearities like saturation, dead zone, relay, and backlash. Phase plane analysis is introduced as a graphical method to study nonlinear systems using a plane with state variables x and dx/dt. Key concepts are defined like phase plane, phase trajectory, and phase portrait. Methods for sketching phase trajectories include analytical solutions and graphical methods using isoclines. Examples are given to illustrate phase portraits for different linear systems.
Conversion of transfer function to canonical state variable modelsJyoti Singh
Realization of transfer function into state variable models is needed even if the control system design based on frequency-domain design method.
In these cases the need arises for the purpose of transient response simulation.
But there is not much software for the numerical inversion of Laplace transform.
So one ways is to convert transfer function of the system to state variable description and numerically integrating the resulting differential equations rather than attempting to compute the inverse Laplace transform by numerical method.
The document discusses the concepts of controllability and observability in state space analysis of dynamic systems. It defines controllability as the ability to transfer a system state to any desired state using control inputs. Observability is defined as the ability to identify the system state using output measurements. Gilbert's and Kalman's tests are described to check for complete controllability and observability by examining the system and output matrices. No cancellation of poles and zeros in the transfer function is a necessary condition for complete controllability and observability.
State space analysis, eign values and eign vectorsShilpa Shukla
This document discusses state space analysis and the conversion of transfer functions to state space models. It covers:
1. The need to convert transfer functions to state space form in order to apply modern time domain techniques for system analysis and design.
2. Three possible representations for realizing a transfer function as a state space model: first companion form, second companion form, and Jordan canonical form.
3. The concepts of eigenvalues and eigenvectors, and how they relate to state space models.
4. Worked examples of converting transfer functions to state space models in first and second companion forms, as well as the Jordan canonical form for systems with repeated and non-repeated roots.
The document provides an overview
Digital control systems (dcs) lecture 18-19-20Ali Rind
This document discusses digital control systems and related topics such as difference equations, z-transforms, and mapping between the s-plane and z-plane. It begins with an outline of topics to be covered including difference equations, z-transforms, inverse z-transforms, and the relationship between the s-plane and z-plane. Examples are provided to illustrate difference equations, z-transforms, and mapping poles between the two planes. Standard z-transforms of discrete-time signals like the unit impulse and sampled step are also defined.
Modern Control - Lec07 - State Space Modeling of LTI SystemsAmr E. Mohamed
The document provides an overview of state-space representation of linear time-invariant (LTI) systems. It defines key concepts such as state variables, state vector, state equations, and output equations. Examples are given to show how to derive the state-space models from differential equations describing dynamical systems. Specifically, it shows how to 1) select state variables, 2) write first-order differential equations as state equations, and 3) obtain output equations to fully represent LTI systems in state-space form.
This document discusses state space analysis and related concepts. It defines state as a group of variables that summarize a system's history to predict future outputs. The minimum number of state variables required is equal to the number of storage elements in the system. These state variables form a state vector. The document also covers state space representation, diagonalization, solving state equations, the state transition matrix, and concepts of controllability and observability.
NONLINEAR CONTROL SYSTEM(Phase plane & Phase Trajectory Method)Niraj Solanki
This document discusses nonlinear control systems using phase plane and phase trajectory methods. It defines nonlinear systems and common physical nonlinearities like saturation, dead zone, relay, and backlash. Phase plane analysis is introduced as a graphical method to study nonlinear systems using a plane with state variables x and dx/dt. Key concepts are defined like phase plane, phase trajectory, and phase portrait. Methods for sketching phase trajectories include analytical solutions and graphical methods using isoclines. Examples are given to illustrate phase portraits for different linear systems.
Conversion of transfer function to canonical state variable modelsJyoti Singh
Realization of transfer function into state variable models is needed even if the control system design based on frequency-domain design method.
In these cases the need arises for the purpose of transient response simulation.
But there is not much software for the numerical inversion of Laplace transform.
So one ways is to convert transfer function of the system to state variable description and numerically integrating the resulting differential equations rather than attempting to compute the inverse Laplace transform by numerical method.
The document discusses the concepts of controllability and observability in state space analysis of dynamic systems. It defines controllability as the ability to transfer a system state to any desired state using control inputs. Observability is defined as the ability to identify the system state using output measurements. Gilbert's and Kalman's tests are described to check for complete controllability and observability by examining the system and output matrices. No cancellation of poles and zeros in the transfer function is a necessary condition for complete controllability and observability.
State space analysis, eign values and eign vectorsShilpa Shukla
This document discusses state space analysis and the conversion of transfer functions to state space models. It covers:
1. The need to convert transfer functions to state space form in order to apply modern time domain techniques for system analysis and design.
2. Three possible representations for realizing a transfer function as a state space model: first companion form, second companion form, and Jordan canonical form.
3. The concepts of eigenvalues and eigenvectors, and how they relate to state space models.
4. Worked examples of converting transfer functions to state space models in first and second companion forms, as well as the Jordan canonical form for systems with repeated and non-repeated roots.
The document provides an overview
This document discusses discrete state space models. It begins with an introduction to state variable models and their generic structure. It then discusses various canonical forms for state space models including controllable, observable, and Jordan canonical forms. It also covers computing the characteristic equation, eigenvalues, state transition matrices using different techniques like inverse Laplace transform, similarity transformations, and Cayley-Hamilton theorem. Examples are provided to illustrate finding state space models from transfer functions and computing the state transition matrix.
Navigation and Trajectory Control for Autonomous Robot/Vehicle (mechatronics)Mithun Chowdhury
The document is a presentation about navigation and trajectory control for autonomous vehicles. It was presented by two students from the University of Trento in Italy.
The presentation introduces mobile robot design considerations including the interrelation between tasks, environments, kinematic models, path/trajectory planning, and high-level and low-level control. It explains that the robot task and environment must be identified first and the kinematic model selected based on this. Path planning is then needed to generate admissible trajectories that satisfy the kinematic constraints. High-level control executes tasks and trajectories while low-level control handles velocity commands.
It also explains concepts like holonomic and non-holonomic constraints, accessibility spaces, and maneuvers
1. The document discusses Lypunov stability and different types of stability including asymptotically stable, bounded-input bounded-output stable, and Lyapunov stability.
2. It provides conditions for asymptotic stability including having all eigenvalues of the system in the left half plane and defines an equilibrium state as a state where the system will not move from in the absence of input.
3. Lyapunov's method is introduced for analyzing stability using a Lyapunov function where the derivative must be negative semi-definite to guarantee asymptotic stability.
This document discusses and compares the classical/transfer function approach and the state space/modern control approach for modeling dynamical systems. The classical approach uses Laplace transforms and transfer functions in the frequency domain, while the state space approach uses matrices to represent systems of differential equations directly in the time domain. The state space approach can model nonlinear, time-varying, and multi-input multi-output systems and considers initial conditions, while the classical approach is limited to linear time-invariant single-input single-output systems. The document provides examples of modeling circuits using the state space representation.
The sliding mode control approach is recognized as one of the
efficient tools to design robust controllers for complex high-order non-linear dynamic plant operating under uncertainty conditions.
This document discusses nonlinear systems and their behavior. Nonlinear systems are represented by nonlinear differential equations and do not obey the principle of superposition. Their response depends on both the input amplitude and initial state. Nonlinear systems can exhibit phenomena like jump resonance, limit cycles, and asynchronous quenching. Nonlinearities can be incidental, inherently present in systems, or intentional, deliberately inserted. Examples of nonlinearities include saturation, dead zones, relays, and multivariable nonlinearities.
Basic Elements of Control System, Open loop and Closed loop systems, Differential
equations and Transfer function, Modeling of Electric systems, Translational and rotational
mechanical systems, Block diagram reduction Techniques, Signal flow graph
Modern Control - Lec 02 - Mathematical Modeling of SystemsAmr E. Mohamed
This document provides an overview of mathematical modeling of physical systems. It discusses how to derive mathematical models from physical systems using differential equations based on governing physical laws. The key steps are: (1) defining the physical system, (2) formulating the mathematical model using differential equations, and (3) solving the equations. Common model types include differential equation, transfer function, and state-space models. The document also discusses modeling various physical elements like electrical circuits, mechanical translational/rotational systems, and electro-mechanical systems using differential equations. It covers block diagram representation and reduction of mathematical models. The overall goal is to realize the importance of deriving accurate mathematical models for analyzing and designing control systems.
This document contains 99 questions related to programmable logic controllers (PLCs). The questions cover topics such as PLC components, ladder logic programming, registers, instructions, numbering systems, and applications. They range from basic questions testing understanding of PLC concepts to more complex questions involving designing PLC programs to solve application problems. The questions are divided into three units, with unit one focusing on basic PLC operation, unit two on registers and instructions, and unit three on numbering systems, subroutines, and advanced instructions.
The document discusses two methods of Lyapunov stability analysis. The first method requires solving differential equations, while the second method uses a Lyapunov function to check stability without solving equations. This second method is considered a direct method. The document also defines stability, asymptotic stability, and instability and provides examples of analyzing stability for continuous and discrete linear time systems using Lyapunov's method.
1) The document describes steps to solve nonlinear problems using Lyapunov stability analysis and provides MATLAB examples.
2) It applies the method to examples of nonlinear systems and investigates the region of asymptotic stability.
3) For one system, it shows that the equilibrium is asymptotically stable within the region where X1 < 1.
The document discusses state-space representations of physical systems. A state-space representation involves selecting state variables, writing simultaneous first-order differential equations involving the state variables, and relating outputs to the state variables and inputs through output equations. State-space representations provide a unified approach for modeling, analyzing, and designing nonlinear and time-varying systems.
The document discusses dynamic modeling of robot manipulators using the Euler-Lagrange approach. It introduces dynamic models and the direct and inverse problems. The Euler-Lagrange approach is then explained in detail. It involves computing the kinetic and potential energies of each link based on the link masses, centers of mass, moments of inertia, and joint velocities and positions. This allows deriving the dynamic equations of motion for the manipulator.
This document discusses various structures for implementing discrete-time linear systems, both finite impulse response (FIR) and infinite impulse response (IIR) systems. It describes direct form, cascade form, and parallel form implementations for IIR systems using blocks for addition, multiplication, and delay. For FIR systems it discusses direct form and cascade implementations using tapped delay lines. It also covers implementations for linear phase FIR systems that reduce the number of multipliers required.
Necessary of Compensation, Methods of Compensation, Phase Lead Compensation, Phase Lag Compensation, Phase Lag Lead Compensation, and Comparison between lead and lag compensators.
Convolution sum using graphical and matrix methodDr.SHANTHI K.G
The document describes two methods for computing the convolution sum of two sequences: the graphical method and the matrix method.
The graphical method involves plotting the two sequences and calculating their point-wise multiplication at each instance of overlap as one sequence is shifted across the other.
The matrix method forms a Toeplitz matrix from one sequence and a vector from the other. The convolution sum is then computed as the matrix-vector product of these two representations.
Examples are provided to demonstrate computing the convolution sum of sample sequences using both methods.
This document discusses steady-state errors in control systems. It defines steady-state error as the difference between the input and output of a system as time approaches infinity. For a unity feedback system, the steady-state error can be calculated from the closed-loop transfer function T(s) or open-loop transfer function G(s). The steady-state error depends on the type of input signal (step, ramp, or parabola) and number of integrations in the system. Systems are classified as Type 0, 1, or 2 based on this number of integrations. The document provides examples of calculating steady-state error for different system types and input signals.
1) The document discusses robot dynamics and defines equations for velocity and kinetic energy.
2) It presents equations to calculate the velocity of points on robot links using transformation matrices and derivatives with respect to joint variables.
3) Equations are provided to calculate the kinetic energy of elements of mass on robot links as a function of linear and angular velocities, allowing the total kinetic energy to be determined by summing over all links.
1. The document describes the syllabus for the course EE1354 - Modern Control Systems. It includes 5 units that cover topics like state space analysis of continuous and discrete time systems, z-transforms, nonlinear systems, and MIMO systems.
2. Key concepts discussed include state variable representation, eigenvectors and eigenvalues, solution of state equations, controllability and observability, and deriving state space models from transfer functions.
3. Methods like pole placement, state feedback, and observer design for state estimation are also covered in the context of analysis and design of control systems.
The document discusses the concepts of controllability and observability for state space models of dynamic systems. Controllability refers to the ability to control a system to achieve a desired state, while observability means a system's internal states can be determined from its output measurements. The document describes Gilbert's and Kalman's tests for analyzing the controllability and observability of state space models based on the system and output matrices.
IRJET- Singular Identification of a Constrained Rigid RobotIRJET Journal
This document presents a singular identification procedure for identifying the parameters of a constrained rigid robot model. It begins with describing the constrained robot model and how it can be represented as a singular system. It then discusses singular equivalency, in particular strong equivalency, which transforms the original singular system into an equivalent regular state space model. This is important to reduce the number of initial conditions and improve identification. The document proposes using recursive least squares identification on the strongly equivalent model to identify the robot parameters. Simulation results on a robot arm model show that this approach provides significantly better parameter estimation convergence and output tracking compared to previous identification techniques for constrained robot models.
This document discusses discrete state space models. It begins with an introduction to state variable models and their generic structure. It then discusses various canonical forms for state space models including controllable, observable, and Jordan canonical forms. It also covers computing the characteristic equation, eigenvalues, state transition matrices using different techniques like inverse Laplace transform, similarity transformations, and Cayley-Hamilton theorem. Examples are provided to illustrate finding state space models from transfer functions and computing the state transition matrix.
Navigation and Trajectory Control for Autonomous Robot/Vehicle (mechatronics)Mithun Chowdhury
The document is a presentation about navigation and trajectory control for autonomous vehicles. It was presented by two students from the University of Trento in Italy.
The presentation introduces mobile robot design considerations including the interrelation between tasks, environments, kinematic models, path/trajectory planning, and high-level and low-level control. It explains that the robot task and environment must be identified first and the kinematic model selected based on this. Path planning is then needed to generate admissible trajectories that satisfy the kinematic constraints. High-level control executes tasks and trajectories while low-level control handles velocity commands.
It also explains concepts like holonomic and non-holonomic constraints, accessibility spaces, and maneuvers
1. The document discusses Lypunov stability and different types of stability including asymptotically stable, bounded-input bounded-output stable, and Lyapunov stability.
2. It provides conditions for asymptotic stability including having all eigenvalues of the system in the left half plane and defines an equilibrium state as a state where the system will not move from in the absence of input.
3. Lyapunov's method is introduced for analyzing stability using a Lyapunov function where the derivative must be negative semi-definite to guarantee asymptotic stability.
This document discusses and compares the classical/transfer function approach and the state space/modern control approach for modeling dynamical systems. The classical approach uses Laplace transforms and transfer functions in the frequency domain, while the state space approach uses matrices to represent systems of differential equations directly in the time domain. The state space approach can model nonlinear, time-varying, and multi-input multi-output systems and considers initial conditions, while the classical approach is limited to linear time-invariant single-input single-output systems. The document provides examples of modeling circuits using the state space representation.
The sliding mode control approach is recognized as one of the
efficient tools to design robust controllers for complex high-order non-linear dynamic plant operating under uncertainty conditions.
This document discusses nonlinear systems and their behavior. Nonlinear systems are represented by nonlinear differential equations and do not obey the principle of superposition. Their response depends on both the input amplitude and initial state. Nonlinear systems can exhibit phenomena like jump resonance, limit cycles, and asynchronous quenching. Nonlinearities can be incidental, inherently present in systems, or intentional, deliberately inserted. Examples of nonlinearities include saturation, dead zones, relays, and multivariable nonlinearities.
Basic Elements of Control System, Open loop and Closed loop systems, Differential
equations and Transfer function, Modeling of Electric systems, Translational and rotational
mechanical systems, Block diagram reduction Techniques, Signal flow graph
Modern Control - Lec 02 - Mathematical Modeling of SystemsAmr E. Mohamed
This document provides an overview of mathematical modeling of physical systems. It discusses how to derive mathematical models from physical systems using differential equations based on governing physical laws. The key steps are: (1) defining the physical system, (2) formulating the mathematical model using differential equations, and (3) solving the equations. Common model types include differential equation, transfer function, and state-space models. The document also discusses modeling various physical elements like electrical circuits, mechanical translational/rotational systems, and electro-mechanical systems using differential equations. It covers block diagram representation and reduction of mathematical models. The overall goal is to realize the importance of deriving accurate mathematical models for analyzing and designing control systems.
This document contains 99 questions related to programmable logic controllers (PLCs). The questions cover topics such as PLC components, ladder logic programming, registers, instructions, numbering systems, and applications. They range from basic questions testing understanding of PLC concepts to more complex questions involving designing PLC programs to solve application problems. The questions are divided into three units, with unit one focusing on basic PLC operation, unit two on registers and instructions, and unit three on numbering systems, subroutines, and advanced instructions.
The document discusses two methods of Lyapunov stability analysis. The first method requires solving differential equations, while the second method uses a Lyapunov function to check stability without solving equations. This second method is considered a direct method. The document also defines stability, asymptotic stability, and instability and provides examples of analyzing stability for continuous and discrete linear time systems using Lyapunov's method.
1) The document describes steps to solve nonlinear problems using Lyapunov stability analysis and provides MATLAB examples.
2) It applies the method to examples of nonlinear systems and investigates the region of asymptotic stability.
3) For one system, it shows that the equilibrium is asymptotically stable within the region where X1 < 1.
The document discusses state-space representations of physical systems. A state-space representation involves selecting state variables, writing simultaneous first-order differential equations involving the state variables, and relating outputs to the state variables and inputs through output equations. State-space representations provide a unified approach for modeling, analyzing, and designing nonlinear and time-varying systems.
The document discusses dynamic modeling of robot manipulators using the Euler-Lagrange approach. It introduces dynamic models and the direct and inverse problems. The Euler-Lagrange approach is then explained in detail. It involves computing the kinetic and potential energies of each link based on the link masses, centers of mass, moments of inertia, and joint velocities and positions. This allows deriving the dynamic equations of motion for the manipulator.
This document discusses various structures for implementing discrete-time linear systems, both finite impulse response (FIR) and infinite impulse response (IIR) systems. It describes direct form, cascade form, and parallel form implementations for IIR systems using blocks for addition, multiplication, and delay. For FIR systems it discusses direct form and cascade implementations using tapped delay lines. It also covers implementations for linear phase FIR systems that reduce the number of multipliers required.
Necessary of Compensation, Methods of Compensation, Phase Lead Compensation, Phase Lag Compensation, Phase Lag Lead Compensation, and Comparison between lead and lag compensators.
Convolution sum using graphical and matrix methodDr.SHANTHI K.G
The document describes two methods for computing the convolution sum of two sequences: the graphical method and the matrix method.
The graphical method involves plotting the two sequences and calculating their point-wise multiplication at each instance of overlap as one sequence is shifted across the other.
The matrix method forms a Toeplitz matrix from one sequence and a vector from the other. The convolution sum is then computed as the matrix-vector product of these two representations.
Examples are provided to demonstrate computing the convolution sum of sample sequences using both methods.
This document discusses steady-state errors in control systems. It defines steady-state error as the difference between the input and output of a system as time approaches infinity. For a unity feedback system, the steady-state error can be calculated from the closed-loop transfer function T(s) or open-loop transfer function G(s). The steady-state error depends on the type of input signal (step, ramp, or parabola) and number of integrations in the system. Systems are classified as Type 0, 1, or 2 based on this number of integrations. The document provides examples of calculating steady-state error for different system types and input signals.
1) The document discusses robot dynamics and defines equations for velocity and kinetic energy.
2) It presents equations to calculate the velocity of points on robot links using transformation matrices and derivatives with respect to joint variables.
3) Equations are provided to calculate the kinetic energy of elements of mass on robot links as a function of linear and angular velocities, allowing the total kinetic energy to be determined by summing over all links.
1. The document describes the syllabus for the course EE1354 - Modern Control Systems. It includes 5 units that cover topics like state space analysis of continuous and discrete time systems, z-transforms, nonlinear systems, and MIMO systems.
2. Key concepts discussed include state variable representation, eigenvectors and eigenvalues, solution of state equations, controllability and observability, and deriving state space models from transfer functions.
3. Methods like pole placement, state feedback, and observer design for state estimation are also covered in the context of analysis and design of control systems.
The document discusses the concepts of controllability and observability for state space models of dynamic systems. Controllability refers to the ability to control a system to achieve a desired state, while observability means a system's internal states can be determined from its output measurements. The document describes Gilbert's and Kalman's tests for analyzing the controllability and observability of state space models based on the system and output matrices.
IRJET- Singular Identification of a Constrained Rigid RobotIRJET Journal
This document presents a singular identification procedure for identifying the parameters of a constrained rigid robot model. It begins with describing the constrained robot model and how it can be represented as a singular system. It then discusses singular equivalency, in particular strong equivalency, which transforms the original singular system into an equivalent regular state space model. This is important to reduce the number of initial conditions and improve identification. The document proposes using recursive least squares identification on the strongly equivalent model to identify the robot parameters. Simulation results on a robot arm model show that this approach provides significantly better parameter estimation convergence and output tracking compared to previous identification techniques for constrained robot models.
IRJET- Domestic Water Conservation by IoT (Smart Home)IRJET Journal
This document discusses singular system identification for a constrained rigid robot model. It begins by introducing constrained robot models and noting they can be considered singular systems. It then discusses the importance of singular system equivalency in identification, as an inappropriate equivalency can cause large errors. The document proposes using strong equivalency to transform the constrained robot model before identification. It applies recursive least squares identification to the strongly equivalent system. Simulation results show this approach improves identification error convergence and output tracking compared to previous techniques for constrained robot models.
A Dynamic Systems Approach to Production Management in the Automotive IndustryFrancisco Restivo
This document discusses applying a dynamic systems approach to production management in the automotive industry. It argues that complex systems like automotive supply chains can be modeled as networks of interacting elements. Small events can trigger unpredictable behavior, so it is important to identify early signals of change. The authors propose using phase space analysis to recognize patterns in production, sales, and other industry data that may act as early warnings. They conducted an exploratory study applying phase space tools to real manufacturing and market data. The results showed how patterns in the data could help predict system transitions and improve forecasting for decision making in unpredictable environments like the automotive industry.
This document outlines the key topics of a course on modern control systems. It compares modern and classical control theories, describing modern control theory as applicable to nonlinear and time-varying systems using time-domain and frequency-domain approaches, while classical control theory is only applicable to linear time-invariant single-input single-output systems using frequency-domain approaches. It also describes open-loop and closed-loop control systems, and mathematical modeling of control systems using state-space representations. Examples of modeling mechanical and electrical systems are provided.
crowd-robot interaction: crowd-aware robot navigation with attention-based DRL민재 정
This document summarizes research on crowd-aware robot navigation using attention-based deep reinforcement learning. It describes a framework that models human-robot and human-human interactions using local maps and pooling, and trains a planning module to estimate state values for navigation. The approach was evaluated in simulation and with a real-world robot experiment, showing improved performance over baselines in success rate, time efficiency, and social compliance. Future work could explore more complex crowd scenarios and real-time implementations.
The document discusses different types of actuators used in robotics, including pneumatic, hydraulic, and electric actuators. Pneumatic actuators use compressed air and have advantages of low cost and easy control but lack precision. Hydraulic actuators can apply large forces with high power-to-size ratios but require complex servo control and have risks of leakage and fire. Electric actuators are now most common and include stepper motors for position control and DC motors for applications requiring higher power and torque control. The document compares characteristics of different actuator types for robotic applications.
- Increasing vehicle automation will fundamentally change network traffic flow characteristics beyond just changes in roadway capacity, affecting stability, queues, and heterogeneity.
- These changes impact traffic flow theory and tools used for modeling, simulation, and assessment of cooperative systems and automation.
- Two case studies illustrate impacts on traffic management and how traffic flow properties like shockwave speeds will change with different market penetration rates of automated vehicles.
Optimization of vehicle suspension system using genetic algorithmIAEME Publication
This document describes using a genetic algorithm to optimize the parameters of a vehicle suspension system. A quarter-car model with 5 parameters is developed in Matlab and Simulink. The objective is to minimize sprung mass acceleration. A genetic algorithm is run for 51 generations to optimize the parameters. The optimized parameters found are reported, and plots show the genetic algorithm converged on optimal solutions. The optimized suspension model response matches the goal of minimizing sprung mass acceleration compared to initial arbitrary parameter values.
Optimization of vehicle suspension system using genetic algorithmIAEME Publication
This document describes using a genetic algorithm to optimize the parameters of a vehicle suspension system. A quarter-car model with 5 parameters is developed in Matlab and Simulink. The objective is to minimize sprung mass acceleration. A genetic algorithm is run for 51 generations to optimize the parameters. The optimized parameters found are reported, and plots show the parameter values converging over generations. One can see the maximum, minimum, and average parameter values approaching the optimum, indicating the genetic algorithm is functioning correctly. The optimized suspension parameters found provide a strong solution for reducing sprung mass acceleration.
An Implementation on Effective Robot Mission under Critical Environemental Co...IJERA Editor
Software engineering is a field of engineering, for designing and writing programs for computers or other electronic devices. A software engineer, or programmer, writes software (or changes existing software) and compiles software using methods that make it better quality. Is the application of engineering to the design, development, implementation, testingand main tenance of software in a systematic method. Now a days the robotics are also plays an important role in present automation concepts. But we have several challenges in that robots when they are operated in some critical environments. Motion planning and task planning are two fundamental problems in robotics that have been addressed from different perspectives. For resolve this there are Temporal logic based approaches that automatically generate controllers have been shown to be useful for mission level planning of motion, surveillance and navigation, among others. These approaches critically rely on the validity of the environment models used for synthesis. Yet simplifying assumptions are inevitable to reduce complexity and provide mission-level guarantees; no plan can guarantee results in a model of a world in which everything can go wrong. In this paper, we show how our approach, which reduces reliance on a single model by introducing a stack of models, can endow systems with incremental guarantees based on increasingly strengthened assumptions, supporting graceful degradation when the environment does not behave as expected, and progressive enhancement when it does.
Fractional order PID for tracking control of a parallel robotic manipulator t...ISA Interchange
This paper presents the tracking control for a robotic manipulator type delta employing fractional order PID controllers with computed torque control strategy. It is contrasted with an integer order PID controller with computed torque control strategy. The mechanical structure, kinematics and dynamic models of the delta robot are descripted. A SOLIDWORKS/MSC-ADAMS/MATLAB co-simulation model of the delta robot is built and employed for the stages of identification, design, and validation of control strategies. Identification of the dynamic model of the robot is performed using the least squares algorithm. A linearized model of the robotic system is obtained employing the computed torque control strategy resulting in a decoupled double integrating system. From the linearized model of the delta robot, fractional order PID and integer order PID controllers are designed, analyzing the dynamical behavior for many evaluation trajectories. Controllers robustness is evaluated against external disturbances employing performance indexes for the joint and spatial error, applied torque in the joints and trajectory tracking. Results show that fractional order PID with the computed torque control strategy has a robust performance and active disturbance rejection when it is applied to parallel robotic manipulators on tracking tasks.
Electronics and Robotics V KadirkamanathanSTS FORUM 2016
The document discusses how control engineering, systems engineering, and robotics can help enable a smarter planet through technologies like cyber-physical systems and autonomous intelligent systems. Control engineering plays a key role in applications through technologies like modeling, optimization, and decision-making. Systems engineering is important for integrating these technologies and designing complex systems. Robotics can deliver complete functionality through autonomous machines. Overall, these fields will be crucial for developing technologies to address challenges in areas like transportation, healthcare, and manufacturing.
Evaluation Performance of 2nd Order Nonlinear System: Baseline Control Tunabl...Waqas Tariq
Design a nonlinear controller for second order nonlinear uncertain dynamical systems (e.g., internal combustion engine) is one of the most important challenging works. This paper focuses on the comparative study between two important nonlinear controllers namely; computed torque controller (CTC) and sliding mode controller (SMC) and applied to internal combustion (IC) engine in presence of uncertainties. In order to provide high performance nonlinear methodology, sliding mode controller and computed torque controller are selected. Pure SMC and CTC can be used to control of partly known nonlinear dynamic parameters of IC engine. Pure sliding mode controller and computed torque controller have difficulty in handling unstructured model uncertainties. To solve this problem applied linear error-based tuning method to sliding mode controller and computed torque controller for adjusting the sliding surface gain (ë ) and linear inner loop gain (K). Since the sliding surface gain (ë) and linear inner loop gain (K) are adjusted by linear error-based tuning method. In this research new ë and new K are obtained by the previous ë and K multiple gains updating factor(á). The results demonstrate that the error-based linear SMC and CTC are model-based controllers which works well in certain and uncertain system. These controllers have acceptable performance in presence of uncertainty.
Position Control of Robot Manipulator: Design a Novel SISO Adaptive Sliding M...Waqas Tariq
The document describes a novel adaptive sliding mode fuzzy PD fuzzy sliding mode control algorithm for position control of robot manipulators. The algorithm uses a single-input single-output fuzzy system to compensate for model uncertainties and eliminate chattering using a linear boundary layer method. It also online tunes the sliding function parameter using adaptation laws. The stability of the closed-loop system is proved mathematically using Lyapunov stability theory. The algorithm is analyzed and evaluated on a 2 degree of freedom robotic manipulator to achieve improved tracking performance compared to conventional sliding mode control approaches.
Hierarchical robust fuzzy sliding mode control for a class of simo under-actu...TELKOMNIKA JOURNAL
The development of the algorithms for single input multi output (SIMO) under-actuated systems with mismatched uncertainties is important. Hierarchical sliding-mode controller (HSMC) has been successfully employed to control SIMO under-actuated systems with mismatched uncertainties in a hierarchical manner with the use of sliding mode control. However, in such a control scheme, the chattering phenomenon is its main disadvantage. To overcome the above disadvantage, in this paper, a new compound control scheme is proposed for SIMO under-actuated based on HSMC and fuzzy logic control (FLC). By using the HSMC approach, a sliding control law is derived so as to guarantee the stability and robustness under various environments. The FLC as the second controller completely removes the chattering signal caused by the sign function in the sliding control law. The results are verified through theoretical proof and simulation software of MATLAB through two systems Pendubot and series double inverted pendulum.
A Survey of Autonomous Driving CommonPractices and Emerging.docxdaniahendric
A Survey of Autonomous Driving: Common
Practices and Emerging Technologies
Ekim Yurtsever∗, Jacob Lambert∗, Alexander Carballo∗, Kazuya Takeda∗†
Abstract—Automated driving systems (ADSs) promise a safe,
comfortable and efficient driving experience. However, fatalities
involving vehicles equipped with ADSs are on the rise. The full
potential of ADSs cannot be realized unless the robustness of
state-of-the-art improved further. This paper discusses unsolved
problems and surveys the technical aspect of automated driving.
Studies regarding present challenges, high-level system architec-
tures, emerging methodologies and core functions: localization,
mapping, perception, planning, and human machine interface,
were thoroughly reviewed. Furthermore, the state-of-the-art was
implemented on our own platform and various algorithms were
compared in a real-world driving setting. The paper concludes
with an overview of available datasets and tools for ADS
development.
I. INTRODUCTION
ACCORDING to a recent technical report by the NationalHighway Traffic Safety Administration (NHTSA), 94%
of road accidents are caused by human errors [1]. Automated
driving systems (ADSs) are being developed with the promise
of preventing accidents, reducing emissions, transporting the
mobility-impaired and reducing driving related stress [2].
Annual social benefits of ADSs are projected to reach nearly
$800 billion by 2050 through congestion mitigation, road ca-
sualty reduction, decreased energy consumption and increased
productivity caused by the reallocation of driving time [3].
Eureka Project PROMETHEUS [4] was carried out in Eu-
rope between 1987-1995, and it was one of the earliest major
automated driving studies. The project led to the development
of VITA II by Daimler-Benz, which succeeded in automat-
ically driving on highways [5]. DARPA Grand Challenge,
organized by the US Department of Defense in 2004, was
the first major automated driving competition where all of the
attendees failed to finish the 150-mile off-road parkour. The
difficulty of the challenge was due to the rule that no human
intervention at any level was allowed during the finals. Another
similar DARPA Grand Challenge was held in 2005. This time
five teams managed to complete the off-road track without any
human interference [6].
Fully automated driving in urban scenes was seen as the
biggest challenge of the field since the earliest attempts.
During DARPA Urban Challenge [7], held in 2007, many
different research groups around the globe tried their ADSs
in a test environment that was modeled after a typical urban
scene. Six teams managed to complete the event. Even though
∗E. Yurtsever, J. Lambert, A. Carballo and K. Takeda are with Nagoya
University, Furo-cho, Nagoya, 464-8603, JAPAN
† K. Takeda is also with Tier4 Inc. Nagoya, JAPAN.
Corresponding author: Ekim Yurtsever, [email protected]
this competition was the biggest and most significant event
up to that time, the test environment lacke ...
A Survey of Autonomous Driving CommonPractices and Emerging.docxronak56
A Survey of Autonomous Driving: Common
Practices and Emerging Technologies
Ekim Yurtsever∗, Jacob Lambert∗, Alexander Carballo∗, Kazuya Takeda∗†
Abstract—Automated driving systems (ADSs) promise a safe,
comfortable and efficient driving experience. However, fatalities
involving vehicles equipped with ADSs are on the rise. The full
potential of ADSs cannot be realized unless the robustness of
state-of-the-art improved further. This paper discusses unsolved
problems and surveys the technical aspect of automated driving.
Studies regarding present challenges, high-level system architec-
tures, emerging methodologies and core functions: localization,
mapping, perception, planning, and human machine interface,
were thoroughly reviewed. Furthermore, the state-of-the-art was
implemented on our own platform and various algorithms were
compared in a real-world driving setting. The paper concludes
with an overview of available datasets and tools for ADS
development.
I. INTRODUCTION
ACCORDING to a recent technical report by the NationalHighway Traffic Safety Administration (NHTSA), 94%
of road accidents are caused by human errors [1]. Automated
driving systems (ADSs) are being developed with the promise
of preventing accidents, reducing emissions, transporting the
mobility-impaired and reducing driving related stress [2].
Annual social benefits of ADSs are projected to reach nearly
$800 billion by 2050 through congestion mitigation, road ca-
sualty reduction, decreased energy consumption and increased
productivity caused by the reallocation of driving time [3].
Eureka Project PROMETHEUS [4] was carried out in Eu-
rope between 1987-1995, and it was one of the earliest major
automated driving studies. The project led to the development
of VITA II by Daimler-Benz, which succeeded in automat-
ically driving on highways [5]. DARPA Grand Challenge,
organized by the US Department of Defense in 2004, was
the first major automated driving competition where all of the
attendees failed to finish the 150-mile off-road parkour. The
difficulty of the challenge was due to the rule that no human
intervention at any level was allowed during the finals. Another
similar DARPA Grand Challenge was held in 2005. This time
five teams managed to complete the off-road track without any
human interference [6].
Fully automated driving in urban scenes was seen as the
biggest challenge of the field since the earliest attempts.
During DARPA Urban Challenge [7], held in 2007, many
different research groups around the globe tried their ADSs
in a test environment that was modeled after a typical urban
scene. Six teams managed to complete the event. Even though
∗E. Yurtsever, J. Lambert, A. Carballo and K. Takeda are with Nagoya
University, Furo-cho, Nagoya, 464-8603, JAPAN
† K. Takeda is also with Tier4 Inc. Nagoya, JAPAN.
Corresponding author: Ekim Yurtsever, [email protected]
this competition was the biggest and most significant event
up to that time, the test environment lacke.
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1. Ministry of High Education and Scientific Research
Sana'a University
Faculty of Engineering
Mechatronics Department
5th Year
MSD II
Supervised byProf.Hatem Al-Doais
Prepared byBassam Alghram 208-2015
2. Objectives:
• LTI systems (Linear Time-Invariant).
• Linearization.
• Stability.
• Output feedback.
• state feedback.
• Pole placement.
• Controller and Controllability.
• Observer and Observability.
• The separation principle.