Steady State Error
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This document discusses steady state error in control systems. It defines steady state error as the difference between the input and output of a system as time approaches infinity. The steady state error depends on the type of input signal (step, ramp, or parabolic) and the system type (type 0, 1, or 2). The document provides equations to calculate steady state error for different system types and input signals. For example, a type 0 system has a steady state error of A/(1+Kp) for a step input, where Kp is the system gain and A is the input amplitude.
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Control system ppt by biru.pptx
This document discusses transient response analysis for first and second order systems. For first order systems, it defines the transfer function and describes how the time constant τ determines how quickly the system reaches steady state. For second order systems, it defines the transfer function and describes how parameters like damping ratio ζ influence the peak time, overshoot, and settling time of the response. Examples are provided to show how to analyze and calculate characteristics like steady state error for both first and second order transient response systems.
LCE-UNIT 1 PPT.pdf
The document discusses time response analysis of first and second order systems. It defines key concepts like transient response, steady state response, time constant, and standard test inputs including impulse, step, ramp and parabolic inputs. It then analyzes the impulse and step response of first order systems. For second order systems, it discusses undamped, underdamped, critically damped and overdamped responses based on the damping ratio. It also defines time domain specifications used to characterize the transient response.
Cse presentation
1. The document discusses the Routh-Hurwitz stability criterion, which is a test used to determine the stability of linear time-invariant systems by constructing a Routh array from the coefficients of the characteristic equation and analyzing it.
2. Special cases that can occur with the Routh array, such as a zero in the first column or an entire zero row, are explained along with their implications.
3. An important application of the Routh-Hurwitz criterion is determining the range of values for a system gain K that ensures stability.
Systems ppt
This document defines and describes different types of systems. It defines a system as a physical device used to process or extract information from signals. The document then describes the main types of systems as:
1) Continuous and discrete systems based on signal type.
2) Static and dynamic systems based on whether the output depends on present or past/future inputs.
3) Causal and non-causal systems based on whether the output depends on past and present inputs or also future inputs.
4) Stable and unstable systems based on whether inputs produce bounded or unbounded outputs.
5) Linear and non-linear systems based on whether they satisfy the superposition principle.
6) Time
lecture1 (5).pptx
This document discusses control system performance and classification. It begins by classifying control systems based on the number of poles at the origin (type 0, 1, 2, etc.). Higher types improve accuracy but reduce stability. The document then examines steady state error for unity feedback systems, defining it as the error between the input and output signals as time approaches infinity. It introduces the concepts of static position, velocity, and acceleration error constants, and gives equations to calculate steady state error for different system types and input signals like steps, ramps, and parabolas. An example calculates these error constants for a specific system and finds the expected steady state errors.
06 control.systems
The document discusses control systems and feedback control. It provides examples of regulatory control using a siphon water level control system. It describes open loop and closed loop control structures. Key signals in a feedback control loop are defined including the set point, error, control, disturbance, and noise signals. Time domain analysis in MATLAB is demonstrated including step response evaluations. Stability concepts are explained for different pole locations including real poles, imaginary poles, and complex poles. Effects of zeros and additional poles on stability are also covered. The document concludes with a brief discussion of specifying controller requirements.
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Electronics and Communication Engineering : Control systems, THE GATE ACADEMY
Electronics and Communication Engineering : Control systems, THE GATE ACADEMY
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Steady State Error
- 1. GREEN UNIVERSITY OF BANGLADESH Department: EEE (Eve) Prepared By: Md. Sahed Dewan ID# 143010021 Prepared For: Md. Joynal Abedin Lecturer, GUB Course Title: Control System
- 3. Introduction Control system analysis focus on three specifications: i) transient response, ii) stability & iii) steady-state errors. Steady state error is the difference between the input and output for a prescribed test input as t ∞ The steady-state error will depend on the type of input (step, ramp & parabolic) as well as the system type (0, I & II).
- 4. Test waveforms for evaluating steady state errors of position control system.
- 6. E(s) = R(s) – H(s) C(s) ∑ R(s) C(s) E(s) G(s) H(s) - + C(s) = E(s) G(s) C(s) = (R(s) – H(s) C(s)) G(s) C(s) + H(s) C(s) G(s) = R(s) G(s) C(s) (1 + H(s) G(s) ) = R(s) G(s) = C(s) R(s) G(s) 1 + H(s) G(s) Again, E(s) = R(s) – C(s) = R(s) – So, E(s) = G(s) R(s) 1 + G(s) R(s) 1 + G(s) For feedback, H(s) = 1 So, = C(s) = ● R(s) G(s) 1 + G(s) G(s) 1 + G(s) C(s) R(s)
- 7. Type 0: Step Input: Kp = G(s) lim s 0 Type 1: Ramp Input: Kv = s G(s)lim s 0 Type 2: Parabolic Input: Ka = s G(s) lim s 0 2
- 8. Steady State Error Type Step Ramp Parabolic 0 A (1+Kp) ∞ ∞ I 0 A Kv ∞ II 0 0 A Ka
- 9. Thank you