Linear Control Theory: Structure, Robustness, and Optimization

✍ Scribed by Shankar P. Bhattacharyya, Aniruddha Datta, Lee H. Keel

• Publisher: CRC Press
• Year: 2009
• Tongue: English
• Leaves: 930
• Series: Automation and Control Engineering
• Edition: 1
• Category: Library

✦ Synopsis

Successfully classroom-tested at the graduate level, Linear Control Theory: Structure, Robustness, and Optimization covers three major areas of control engineering (PID control, robust control, and optimal control). It provides balanced coverage of elegant mathematical theory and useful engineering-oriented results.

The first part of the book develops results relating to the design of PID and first-order controllers for continuous and discrete-time linear systems with possible delays. The second section deals with the robust stability and performance of systems under parametric and unstructured uncertainty. This section describes several elegant and sharp results, such as Kharitonov’s theorem and its extensions, the edge theorem, and the mapping theorem. Focusing on the optimal control of linear systems, the third part discusses the standard theories of the linear quadratic regulator, H_infinity  and l₁ optimal control, and associated results.

Written by recognized leaders in the field, this book explains how control theory can be applied to the design of real-world systems. It shows that the techniques of three term controllers, along with the results on robust and optimal control, are invaluable to developing and solving research problems in many areas of engineering.

 

✦ Table of Contents

TITLE......Page 6
COPYRIGHT......Page 7
DEDICATION......Page 8
CONTENTS......Page 10
PREFACE......Page 18
PART I: THREE TERM CONTROLLERS......Page 20
CHAPTER 1: PID CONTROLLERS: AN OVERVIEW OF CLASSICAL THEORY......Page 22
CHAPTER 2: PID CONTROLLERS FOR DELAY-FREE LTI SYSTEMS......Page 44
CHAPTER 3: PID CONTROLLERS FOR SYSTEMS WITH TIME DELAY......Page 74
CHAPTER 4: DIGITAL PID CONTROLLER DESIGN......Page 172
CHAPTER 5: FIRST ORDER CONTROLLERS FOR LTI SYSTEMS......Page 200
CHAPTER 6: CONTROLLER SYNTHESIS FREE OF ANALYTICAL MODELS......Page 226
CHAPTER 7: DATA DRIVEN SYNTHESIS OF THREE TERM DIGITAL CONTROLLERS......Page 278
PART II: ROBUST PARAMETRIC CONTROL......Page 310
CHAPTER 8: STABILITY THEORY FOR POLYNOMIALS......Page 312
CHAPTER 9: STABILITY OF A LINE SEGMENT......Page 352
CHAPTER 10: STABILITY MARGIN COMPUTATION......Page 398
CHAPTER 11: STABILITY OF A POLYTOPE......Page 462
CHAPTER 12: ROBUST CONTROL DESIGN......Page 568
PART III: OPTIMAL AND ROBUST CONTROL......Page 658
CHAPTER 13: THE LINEAR QUADRATIC REGULATOR......Page 660
CHAPTER 14: SISO H∞ AND ι1 OPTIMAL CONTROL......Page 708
CHAPTER 15: H∞ OPTIMAL MULTIVARIABLE CONTROL......Page 778
A SIGNAL SPACES......Page 826
B NORMS FOR LINEAR SYSTEMS......Page 852
PART IV: EPILOGUE......Page 886
ROBUSTNESS AND FRAGILITY......Page 888
REFERENCES......Page 906
INDEX......Page 924