Feedback Control Systems (FCS) Dr. Imtiaz Hussain URL :http://imtiazhussainkalwar.weebly.com/

Slides:



Advertisements
Similar presentations
The Performance of Feedback Control Systems
Advertisements

Lect.7 Steady State Error Basil Hamed
Automatic control by Meiling CHEN
Transient and steady state response (cont.)
Laplace Transforms 1. Standard notation in dynamics and control (shorthand notation) 2. Converts mathematics to algebraic operations 3. Advantageous for.
Transient & Steady State Response Analysis
Modeling & Simulation of Dynamic Systems
Modern Control Systems (MCS) Dr. Imtiaz Hussain Assistant Professor URL :
Modern Control Systems (MCS)
Review last lectures.
Feedback Control Systems (FCS) Dr. Imtiaz Hussain URL :
Feedback Control Systems (FCS)
Feedback Control Systems (FCS) Dr. Imtiaz Hussain URL :
Modern Control Systems (MCS)
سیستمهای کنترل خطی پاییز 1389 بسم ا... الرحمن الرحيم دکتر حسين بلندي- دکتر سید مجید اسما عیل زاده.
Feedback Control Systems (FCS) Dr. Imtiaz Hussain URL :
Chapter 3 mathematical Modeling of Dynamic Systems
Recap of Session VII Chapter II: Mathematical Modeling Mathematical Modeling of Mechanical systems Mathematical Modeling of Electrical systems Models of.
Laplace Transforms 1. Standard notation in dynamics and control (shorthand notation) 2. Converts mathematics to algebraic operations 3. Advantageous for.
Laplace Transforms 1. Standard notation in dynamics and control (shorthand notation) 2. Converts mathematics to algebraic operations 3. Advantageous for.
Mathematical Models and Block Diagrams of Systems Regulation And Control Engineering.
Feedback Control Systems (FCS) Dr. Imtiaz Hussain URL :
Feedback Control Systems (FCS)
Lecture 12: First-Order Systems
1 Teaching Innovation - Entrepreneurial - Global The Centre for Technology enabled Teaching & Learning, M G I, India DTEL DTEL (Department for Technology.
Automatic Control Theory School of Automation NWPU Teaching Group of Automatic Control Theory.
Feedback Control Systems (FCS) Dr. Imtiaz Hussain URL :
Modern Control Systems (MCS) Dr. Imtiaz Hussain Assistant Professor URL :
Lecture 2: The Laplace Transform Laplace transform definition Laplace transform properties Relation between time and Laplace domains Initial and Final.
Feedback Control Systems (FCS) Dr. Imtiaz Hussain URL :
Control Systems Lect.3 Steady State Error Basil Hamed.
Control engineering ( ) Time response of first order system PREPARED BY: Patel Ravindra.
Control Systems (CS) Dr. Imtiaz Hussain Associate Professor Mehran University of Engineering & Technology Jamshoro, Pakistan
Feedback Control Systems (FCS) Dr. Imtiaz Hussain URL :
Birla Vishvakarma Mahavidyalaya Gujarat Technological University
Modern Control Systems (MCS) Dr. Imtiaz Hussain URL :
Advanced Control Systems (ACS)
Modern Control Systems (MCS)
Digital Control Systems (DCS)
Control Systems With Embedded Implementation (CSEI)
Feedback Control Systems (FCS)
Control Systems (CS) Lecture-12-13
Modern Control Systems (MCS)
Feedback Control Systems (FCS)
Time Domain analysis STEADY-STATE ERROR.
Feedback Control Systems (FCS)
BDU20303 Electromechanical & Control System Sem I 11/12 Chapter 3: Time Response Analysis (First Order System)
Digital Control Systems (DCS)
Digital Control Systems (DCS)
Modern Control Systems (MCS)
Digital Control Systems (DCS)
Modern Control Systems (MCS)
Control Systems With Embedded Implementation (CSEI)
Modern Control Systems (MCS)
Time Response System & Control Engineering Lab.
Control Systems (CS) Lecture-6 Steady State Error Dr. Imtiaz Hussain
Control Systems (CS) Lecture-3 Introduction to Mathematical Modeling &
Feedback Control Systems (FCS)
The characteristics of actual input signals are a sudden shock, a sudden change, a constant velocity, and constant acceleration. The dynamic behavior of.
Control Systems (CS) Lecture-16 Steady State Error Dr. Imtiaz Hussain
Modeling & Simulation of Dynamic Systems (MSDS)
Lecture 6: Time Domain Analysis and State Space Representation
Feedback Control Systems (FCS)
Modern Control Systems (MCS)
Modern Control Systems (Pr)
Modern Control Systems (Pr)
B.Tech – II – ECE – II SEMESTER ACE ENGINEERING COLLEGE
Time Response, Stability, and
Exercise 1 For the unit step response shown in the following figure, find the transfer function of the system. Also find rise time and settling time. Solution.
By: Nafees Ahamad, AP, EECE, Dept. DIT University, Dehradun
Presentation transcript:

Feedback Control Systems (FCS) Dr. Imtiaz Hussain URL : Lecture-19 Time Domain Analysis of Control systems

Introduction In time-domain analysis the response of a dynamic system to an input is expressed as a function of time. It is possible to compute the time response of a system if the nature of input and the mathematical model of the system are known. Usually, the input signals to control systems are not known fully ahead of time. For example, in a radar tracking system, the position and the speed of the target to be tracked may vary in a random fashion. It is therefore difficult to express the actual input signals mathematically by simple equations.

Standard Test Signals The characteristics of actual input signals are a sudden shock, a sudden change, a constant velocity, and constant acceleration. The dynamic behavior of a system is therefore judged and compared under application of standard test signals – an impulse, a step, a constant velocity, and constant acceleration. Another standard signal of great importance is a sinusoidal signal.

Standard Test Signals Impulse signal – The impulse signal imitate the sudden shock characteristic of actual input signal. – If A=1, the impulse signal is called unit impulse signal. 0 t δ(t) A

Standard Test Signals Impulse signal Source: English Wikipedia. Iain. Original image: [1]Iain[1]

Standard Test Signals Step signal – The step signal imitate the sudden change characteristic of actual input signal. – If A=1, the step signal is called unit step signal 0 t u(t) A

Standard Test Signals Ramp signal – The ramp signal imitate the constant velocity characteristic of actual input signal. – If A=1, the ramp signal is called unit ramp signal 0 t r(t) unit ramp signal r(t) ramp signal with slope A

Standard Test Signals Parabolic signal – The parabolic signal imitate the constant acceleration characteristic of actual input signal. – If A=1, the parabolic signal is called unit parabolic signal. 0 t p(t) parabolic signal with slope A p(t) Unit parabolic signal p(t)

Relation between standard Test Signals Impulse Step Ramp Parabolic

Laplace Transform of Test Signals Impulse Step

Laplace Transform of Test Signals Ramp Parabolic

Time Response of Control Systems System The time response of any system has two components Transient response Steady-state response. Time response of a dynamic system response to an input expressed as a function of time.

Time Response of Control Systems When the response of the system is changed form rest or equilibrium it takes some time to settle down. Transient response is the response of a system from rest or equilibrium to steady state. Transient Response Steady State Response The response of the system after the transient response is called steady state response.

Time Response of Control Systems Transient response is dependent upon the system poles only and not on the type of input. It is therefore sufficient to analyze the transient response using a step input. The steady-state response depends on system dynamics and the input quantity. It is then examined using different test signals by final value theorem.

END OF LECTURE-19 To download this lecture visit