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.
It gives how states are representing in various canonical forms and how it it is different from transfer function approach. and finally test the system controllability and observability by kalman's test
this is presentation about time response analysis in control engineering. this is presentation on its types and many more like time responses with best example
Ch5 transient and steady state response analyses(control)Elaf A.Saeed
Chapter 5 Transient and steady-state response analyses. From the book (Ogata Modern Control Engineering 5th).
5-1 introduction.
5-2 First-Order System.
5-3 second-order system.
5-6 Routh’s stability criterion.
5-8 Steady-state errors in unity-feedback control systems.
It gives how states are representing in various canonical forms and how it it is different from transfer function approach. and finally test the system controllability and observability by kalman's test
this is presentation about time response analysis in control engineering. this is presentation on its types and many more like time responses with best example
Ch5 transient and steady state response analyses(control)Elaf A.Saeed
Chapter 5 Transient and steady-state response analyses. From the book (Ogata Modern Control Engineering 5th).
5-1 introduction.
5-2 First-Order System.
5-3 second-order system.
5-6 Routh’s stability criterion.
5-8 Steady-state errors in unity-feedback control systems.
This Presentation explains about the introduction of Frequency Response Analysis. This video clearly shows advantages and disadvantages of Frequency Response Analysis and also explains frequency domain specifications and derivations of Resonant Peak, Resonant Frequency and Bandwidth.
This presentation gives the information about introduction to control systems
Subject: Control Engineering as per VTU Syllabus of Aeronautical Engineering.
Notes Compiled By: Hareesha N Gowda, Assistant Professor, DSCE, Bengaluru-78.
Disclaimer:
The contents used in this presentation are taken from the text books mentioned in the references. I do not hold any copyrights for the contents. It has been prepared to use in the class lectures, not for commercial purpose.
Introduction, Types of Stable System, Routh-Hurwitz Stability Criterion, Disadvantages of Hurwitz Criterion, Techniques of Routh-Hurwitz criterion, Examples, Special Cases of Routh Array, Advantages and Disadvantages of Routh-Hurwitz Stability Criterion, and examples.
state space representation,State Space Model Controllability and Observabilit...Waqas Afzal
State Variables of a Dynamical System
State Variable Equation
Why State space approach
Block Diagram Representation Of State Space Model
Controllability and Observability
Derive Transfer Function from State Space Equation
Time Response and State Transition Matrix
Eigen Value
Mr. C.S.Satheesh, M.E.,
Frequency response analysis
Frequency Domain Specifications
Resonant Peak Mr
Resonant Frequency ωr
Bandwidth ωh
Cut – off Rate
Gain margin Kg
Phase margin γ
POLAR PLOT
Bode PLOT
This Presentation explains about the introduction of Frequency Response Analysis. This video clearly shows advantages and disadvantages of Frequency Response Analysis and also explains frequency domain specifications and derivations of Resonant Peak, Resonant Frequency and Bandwidth.
This presentation gives the information about introduction to control systems
Subject: Control Engineering as per VTU Syllabus of Aeronautical Engineering.
Notes Compiled By: Hareesha N Gowda, Assistant Professor, DSCE, Bengaluru-78.
Disclaimer:
The contents used in this presentation are taken from the text books mentioned in the references. I do not hold any copyrights for the contents. It has been prepared to use in the class lectures, not for commercial purpose.
Introduction, Types of Stable System, Routh-Hurwitz Stability Criterion, Disadvantages of Hurwitz Criterion, Techniques of Routh-Hurwitz criterion, Examples, Special Cases of Routh Array, Advantages and Disadvantages of Routh-Hurwitz Stability Criterion, and examples.
state space representation,State Space Model Controllability and Observabilit...Waqas Afzal
State Variables of a Dynamical System
State Variable Equation
Why State space approach
Block Diagram Representation Of State Space Model
Controllability and Observability
Derive Transfer Function from State Space Equation
Time Response and State Transition Matrix
Eigen Value
Mr. C.S.Satheesh, M.E.,
Frequency response analysis
Frequency Domain Specifications
Resonant Peak Mr
Resonant Frequency ωr
Bandwidth ωh
Cut – off Rate
Gain margin Kg
Phase margin γ
POLAR PLOT
Bode PLOT
Control systems engineering encompasses a wide range of techniques and methodologies for designing and analyzing control systems. These include classical control methods such as proportional-integral-derivative (PID) control, which relies on simple algebraic equations and is widely used in industrial applications due to its simplicity and robustness. Another approach is modern control theory, which leverages advanced mathematical tools such as state-space representation, frequency domain analysis, and optimal control theory to design more sophisticated controllers with improved performance and stability.
At its core, control systems engineering seeks to manipulate the behavior of dynamic systems to achieve desired outputs. These dynamic systems can range from simple mechanical systems like a pendulum to complex electrical networks, chemical processes, and even biological systems. The fundamental principle underlying control systems is feedback – the ability to measure the system's output, compare it to a desired reference value, and adjust the system's inputs accordingly to minimize the error between the desired and actual outputs.
Small-Signal (or Small Disturbance) Stability is the ability of a power system to maintain synchronism when subjected to small disturbances
such disturbances occur continually on the system due to small variations in loads and generation
disturbance considered sufficiently small if linearization of system equations is permissible for analysis
Corresponds to Liapunov's first method of stability analysis
Small-signal analysis using powerful linear analysis techniques provides valuable information about the inherent dynamic characteristics of the power system and assists in its robust design
Transient and Steady State Response - Control Systems EngineeringSiyum Tsega Balcha
. Two crucial aspects of this behavior are transient and steady-state responses. These concepts encapsulate how a system behaves over time, from the moment an input is applied to when the system settles into a stable state. The transient response of a system characterizes its behavior during the initial phase after a change in input. It reflects how the system reacts as it transitions from one state to another. This phase is marked by dynamic changes in the system's output as it adjusts to the new conditions imposed by the input.
Characteristics of Transient Response are Time Constant, overshoot, settling time and damping.
Once the transient effects have subsided, the system enters the steady-state, where its behavior becomes constant over time. In this phase, the system operates under stable conditions, and its output remains within a narrow range around the desired value, despite fluctuations in input or external disturbances. Characteristics of Steady-State Response are Steady-State Error, stability, accuracy, robustness,.
Hybrid optimization of pumped hydro system and solar- Engr. Abdul-Azeez.pdffxintegritypublishin
Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
Instead of buying and hoping for the best, we can use data science to help us predict which products may be good fits for us. It includes various function programs to do the above mentioned tasks.
Data file handling has been effectively used in the program.
The automated cosmetic shop management system should deal with the automation of general workflow and administration process of the shop. The main processes of the system focus on customer's request where the system is able to search the most appropriate products and deliver it to the customers. It should help the employees to quickly identify the list of cosmetic product that have reached the minimum quantity and also keep a track of expired date for each cosmetic product. It should help the employees to find the rack number in which the product is placed.It is also Faster and more efficient way.
Overview of the fundamental roles in Hydropower generation and the components involved in wider Electrical Engineering.
This paper presents the design and construction of hydroelectric dams from the hydrologist’s survey of the valley before construction, all aspects and involved disciplines, fluid dynamics, structural engineering, generation and mains frequency regulation to the very transmission of power through the network in the United Kingdom.
Author: Robbie Edward Sayers
Collaborators and co editors: Charlie Sims and Connor Healey.
(C) 2024 Robbie E. Sayers
Water scarcity is the lack of fresh water resources to meet the standard water demand. There are two type of water scarcity. One is physical. The other is economic water scarcity.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
Sachpazis:Terzaghi Bearing Capacity Estimation in simple terms with Calculati...Dr.Costas Sachpazis
Terzaghi's soil bearing capacity theory, developed by Karl Terzaghi, is a fundamental principle in geotechnical engineering used to determine the bearing capacity of shallow foundations. This theory provides a method to calculate the ultimate bearing capacity of soil, which is the maximum load per unit area that the soil can support without undergoing shear failure. The Calculation HTML Code included.
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxR&R Consult
CFD analysis is incredibly effective at solving mysteries and improving the performance of complex systems!
Here's a great example: At a large natural gas-fired power plant, where they use waste heat to generate steam and energy, they were puzzled that their boiler wasn't producing as much steam as expected.
R&R and Tetra Engineering Group Inc. were asked to solve the issue with reduced steam production.
An inspection had shown that a significant amount of hot flue gas was bypassing the boiler tubes, where the heat was supposed to be transferred.
R&R Consult conducted a CFD analysis, which revealed that 6.3% of the flue gas was bypassing the boiler tubes without transferring heat. The analysis also showed that the flue gas was instead being directed along the sides of the boiler and between the modules that were supposed to capture the heat. This was the cause of the reduced performance.
Based on our results, Tetra Engineering installed covering plates to reduce the bypass flow. This improved the boiler's performance and increased electricity production.
It is always satisfying when we can help solve complex challenges like this. Do your systems also need a check-up or optimization? Give us a call!
Work done in cooperation with James Malloy and David Moelling from Tetra Engineering.
More examples of our work https://www.r-r-consult.dk/en/cases-en/
Hierarchical Digital Twin of a Naval Power SystemKerry Sado
A hierarchical digital twin of a Naval DC power system has been developed and experimentally verified. Similar to other state-of-the-art digital twins, this technology creates a digital replica of the physical system executed in real-time or faster, which can modify hardware controls. However, its advantage stems from distributing computational efforts by utilizing a hierarchical structure composed of lower-level digital twin blocks and a higher-level system digital twin. Each digital twin block is associated with a physical subsystem of the hardware and communicates with a singular system digital twin, which creates a system-level response. By extracting information from each level of the hierarchy, power system controls of the hardware were reconfigured autonomously. This hierarchical digital twin development offers several advantages over other digital twins, particularly in the field of naval power systems. The hierarchical structure allows for greater computational efficiency and scalability while the ability to autonomously reconfigure hardware controls offers increased flexibility and responsiveness. The hierarchical decomposition and models utilized were well aligned with the physical twin, as indicated by the maximum deviations between the developed digital twin hierarchy and the hardware.
2. INTRODUCTION
Many practical systems are sufficiently nonlinear so that
the important features of their performance may be
completely overlooked if they are analyzed and
designed through linear techniques.
The mathematical models of the nonlinear systems are
represented by nonlinear differential equations.
Hence, there are no general methods for the analysis
and synthesis of nonlinear control systems.
For such systems we must necessarily employ special
analytical, graphical and numerical techniques which
take account of system nonlinearities.
3. BEHAVIOUR
The most important feature of nonlinear systems is that
nonlinear systems do not obey the principle of
superposition.
Due to this reason, in contrast to the linear case, the
response of nonlinear systems to a particular test signal is
no guide to their behavior to other inputs.
The nonlinear system response may be highly sensitive to
input amplitude.
Hence, in a nonlinear system, the stability is very much
dependent on the input and also the initial state.
The o/p of the nonlinear system will have harmonics and
sub-harmonics when excited by sinusoidal signals.
It will exhibit various phenomena like jump resonance, limit
cycle, frequency entrainment, asynchronous quenching etc..
4. In the frequency response of the nonlinear systems,
the amplitude of the response may jump from one
point to another for decreasing or increasing values
of frequency is called jump resonance.
The subharmonic oscillations are nonlinear
steady state oscillations whose frequencies are an
integral submultiple of the forcing frequency.
The limit cycles are oscillations of the response of
nonlinear system with fixed amplitude and
frequency.
The frequency of limit cycle is entrained by the
forcing frequency within certain band of frequencies
is called frequency entrainment.
5. In a nonlinear system that exhibits a limit cycle of
frequency ωl, it is possible to quench the limit cycle
oscillation by forcing the system at frequency ωq is
called asynchronous quenching.
6. CLASSIFICATION:
Incidental Nonlinearities - Those which are
inherently present in the system like saturation,
dead zone, friction etc., and
Intentional Nonlinearities – Those which are
deliberately inserted into the system to modify the
system characteristics i.e, to improvement the
system performance or/and to simplify the
construction of the system.
7. NONLINEARITIES
The output is proportional to input for a limited
range of input signals, when input exceeds this
range, the output tends to become nearly constant.
This phenomenon is called saturation.
All devices when driven by large signals, exhibit the
phenomenon of saturation due to limitations of their
physical capabilities.
Example are electronics amplifier, output of sensors
which measuring the position, velocity, temperature
etc.,
Many physical devices do not respond to small
signals, i.e, if the input amplitude is less than some
small value, there will be no output. The region in
which the output is zero is called dead zone.
8. A relay is a nonlinear power amplifier which can
provide large power amplification inexpensively and
is therefore deliberately introduced in control
systems.
A relay controlled system can be switched abruptly
between several discrete states which are usually
off, full forward and full reverse.
Relay controlled systems find wide applications in
the control field.
Some nonlinearities such as the torque-speed
characteristics of a servomotor, transistor
characteristics etc., are functions of more than one
variable. Such nonlinearities are called
multivariable nonlinearities.