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Advanced Control Systems

by Laxman PLaxman P
Type: NoteInstitute: GATE Views: 13Uploaded: 5 months ago

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Laxman P
Laxman P
Electronics Engineering Control Systems Comprehensive Theory with Solved Examples and Practice Questions Publications
Publications MADE EASY Publications Corporate Office: 44-A/4, Kalu Sarai (Near Hauz Khas Metro Station), New Delhi-110016 E-mail: infomep@madeeasy.in Contact: 011-45124612, 0-9958995830, 8860378007 Visit us at: www.madeeasypublications.org 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 (Revised and Updated) © 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.
Preface This book was motivated by the desire to further the evolution of a concise book on Control Systems. Keeping in focus the importance of this subject in GATE and ESE, we have done a proper study and thereafter developed the content of the book accordingly. This edition has an expanded discussion of all relevant topics in the subject. Initially, we compiled the perceptions of our students on their problems in GATE and ESE while dealing with the questions from this subject. We identified their various problems like- lack of fundamentals of the subject, difficulty in solving simple questions, shortage of a complete study package, etc. These strengthened our determination to present a complete edition of Control Systems textbook. The book addresses all the requirements of the students, i.e. comprehensive coverage of theory, fundamental concepts, objective type problems and conventional problems, articulated in a lucid language. The concise presentation will help the readers grasp the concepts with clarity and apply them with ease to solve problems quickly. The book not only covers the entire syllabus of GATE and ESE, but also addresses the need of many other competitive examinations. Topics like ‘signal flow graphs, modelling of control systems, time domain analysis, controllers and compensators, Routh stability criteria, root locus, gain margin and phase margin, polar plots, Nyquist plot, Bode plot and state variable analysis’, are given full coverage in line with our research on their importance in competitive examinations. We have put in our sincere efforts to present elaborate solutions for various problems, different problem solving methodology, some useful quick techniques to save time while attempting MCQs without compromising the accuracy of answers. A summary of important points to remember is added at the end of each topic. For the convenience of the readers, points to remember are specifically highlighted in the form of a note- both in theory as well as solved examples. At the end of each chapter, sets of practice question are given with their keys, that will allow the readers to evaluate their understanding of the topics and sharpen their problem solving skills. Our team has made their best efforts to remove all possible errors of any kind. Nonetheless, we would highly appreciate and acknowledge if you find and share with us any printing, calculation and conceptual error. It is impossible to thank all the individuals who helped us, but we would like to sincerely thank all the authors, editors and reviewers for putting in their efforts to publish this book. With Best Wishes B. Singh CMD, MADE EASY
Contents Control Systems Chapter 1 Chapter 4 Introduction.............................................. 1 Signal Flow Graphs.................................65 1.1 Open Loop Control Systems...................................... 1 4.1 Introduction...................................................................65 1.2 Close Loop Control Systems....................................... 2 4.2 Terminology of SFG.....................................................65 1.3 Comparison Between Open Loop and 4.3 Construction of Signal Flow Graphs......................67 Close Loop Control Systems....................................... 3 4.4 Mason’s Gain Formula................................................69 Laplace Transformation .............................................. 3 Student Assignments-1................................................86 Student Assignments-2................................................88 1.4 Chapter 2 Chapter 5 Transfer Function...................................... 9 2.1 Feedback Characteristics.......................95 Transfer Function and Impulse Response Function....................................... 9 2.2 Standard Test Signals..................................................10 2.3 Poles and Zeros of a Transfer Function.................12 2.4 Properties of Transfer Function...............................13 2.5 Methods of Analysis....................................................15 2.6 DC Gain............................................................................16 2.7 Interacting & Non-Interacting Systems................25 Student Assignments-1................................................28 Student Assignments-2................................................29 5.1 Feedback and Non-Feedback Systems................95 5.2 Effect of Feedback on Overall Gain........................96 5.3 Effect of Feedback on Sensitivity............................97 5.4 Effect of Feedback on Stability............................. 101 5.5 Control Over System Dynamics by the Use of Feedback........................................... 102 5.6 Control on the Effects of the Disturbance Signals by the Use of Feedback........................... 103 5.7 Effect of Noise (Disturbance) Signals................. 104 Student Assignments-1............................................. 106 Chapter 3 Student Assignments-2............................................. 107 Block Diagrams.......................................33 Chapter 6 3.1 Block Diagrams : Fundamentals..............................33 3.2 Block Diagram of a Closed-loop System..............34 3.3 Block Diagram Transformation Theorems...........35 Student Assignments-1................................................59 Student Assignments-2................................................61 Modelling of Control Systems.............110 6.1 Mechanical Systems................................................. 110 6.2 Electrical Systems...................................................... 112 6.3 Analogous Systems.................................................. 112 6.4 Nodal Method for Writing Differential Equation of Complex Mechanical System........ 113 (iv)

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