Electrical Engineering. Control Systems. Comprehensive Theory with Solved Examples and Practice Questions. Publications

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1 Electrical Engineering Control Systems Comprehensive Theory with Solved Examples and Practice Questions Publications

2 Publications MADE EASY Publications Corporate Office: 44-A/4, Kalu Sarai (Near Hauz Khas Metro Station), New Delhi Contact: , Visit us at: Control Systems Copyright, by MADE EASY Publications. All rights are reserved. No part of this publication may be reproduced, stored in or introduced into a retrieval system, or transmitted in any form or by any means (electronic, mechanical, photo-copying, recording or otherwise), without the prior written permission of the above mentioned publisher of this book. First Edition : 2015 Second Edition : 2016 Third Edition : 2017 Fourth Edition : 2018 All rights reserved by MADE EASY PUBLICATIONS. No part of this book may be reproduced or utilized in any form without the written permission from the publisher.

3 Contents Control Systems Chapter 1 Introduction Open Loop Control Systems Closed Loop Control Systems Comparison Between Open Loop and Closed Loop Control Systems Laplace Transformation... 3 Chapter 2 Transfer Function Transfer Function and Impulse Response Function Standard Test Signals Poles and Zeros of a Transfer Function Properties of Transfer Function Methods of Analysis DC Gain for Open Loop Interacting & Non-Interacting Systems...25 Student Assignments Student Assignments Chapter 3 Block Diagrams Block Diagrams : Fundamentals Block Diagram of a Closed-loop System Block Diagram Transformation Theorems...35 Student Assignments Student Assignments Chapter 4 Signal Flow Graphs Introduction Terminology of SFG Construction of Signal Flow Graphs Mason s Gain Formula...69 Student Assignments Student Assignments Chapter 5 Feedback Characteristics Feedback and Non-Feedback Systems Effect of Feedback on Overall Gain Effect of Feedback on Sensitivity Effect of Feedback on Stability Control over System Dynamics by the use of Feedback Control on the Effects of the Disturbance Signals by the Use of Feedback Effect of Noise (Disturbance) Signals Student Assignments Student Assignments Chapter 6 Modelling of Control Systems Mechanical Systems Electrical Systems Analogous Systems Nodal Method for Writing Differential Equation of Complex Mechanical System (iii)

4 6.5 Gear Train Servomechanism Armature Controlled DC Servomotor Field Controlled DC Servomotor Two Phase AC Servomotor Potentiometer Tachometers Synchro Position Control System Student Assignments Student Assignments Chapter 7 Time Domain Analysis of Control Systems Introduction Transient and Steady State Response Steady State Error Static Error Coefficients Dynamic (or generalised) Error Coefficients Relationship between Static and Dynamic Error Constants Transients State Analysis Dominant Poles of Transfer Functions Student Assignments Student Assignments Chapter 8 Stability Analysis of Linear Control Systems The Concept of Stability Student Assignments Student Assignments Chapter 9 The Root Locus Technique Introduction Angle and Magnitude Conditions Construction Rules of Root Locus Gain Margin and Phase Margin from Root Locus Plot Effects of Adding Poles and Zeros to G(s) H(s) Complementary Root Locus (CRL) or Inverse Root Locus (IRL) Student Assignments Student Assignments Chapter 10 Frequency Domain Analysis of Control Systems Introduction Advantages of Frequency Response Frequency Response Analysis of Second Order Control System Frequency-Domain Specifications Correlation between Step Response & Frequency Response in the Standard Order System Frequency Domain Analysis of Dead Time or Transportation Lag Elements Relative Stability: Gain Margin and Phase Margin Gain Margin and Phase Margin for Second Order Control System Graphical Methods of Frequency Domain Analysis Polar Plots Stability from Polar Plots Effect of (Open Loop) Gain on Stability Gain Phase Plot Theory of Nyquist Criterion Bode Plots Basic Factors of G(jw) H(jw) General Procedure for Constructing the Bode Plots Student Assignments Student Assignments (iv)

5 Chapter 11 Industrial Controllers and Compensators Introduction to Compensators Lead Compensator Lag Compensator Lag-Lead Compensator Comparison of Lead and Lag Compensators Bode Plot for Lag Lead Compensator Industrial Controllers Proportional (P) Controller Integral (I) Controller (Reset Mode) Derivative (D) Controller (Rate Mode) Proportional Integral (P-I) Controller Proportional Derivative (P-D) Controller Proportional Integral Derivative (P-I-D) Controller Op-Amp Based Realisation of Controllers Student Assignments Student Assignments Chapter 12 State Variable Analysis Introduction State Space Representation of Control System Solution of State Equations Controllability and Observability Student Assignments Student Assignments nnnn (v)

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