
Linear Control Theory
Structure, Robustness, and Optimization
- 924 pages
- English
- PDF
- Available on iOS & Android
Linear Control Theory
Structure, Robustness, and Optimization
About this book
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 l 1 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.
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Information
Table of contents
- COVER
- TITLE
- COPYRIGHT
- DEDICATION
- CONTENTS
- PREFACE
- PART I: THREE TERM CONTROLLERS
- CHAPTER 1: PID CONTROLLERS: AN OVERVIEW OF CLASSICAL THEORY
- CHAPTER 2: PID CONTROLLERS FOR DELAY-FREE LTI SYSTEMS
- CHAPTER 3: PID CONTROLLERS FOR SYSTEMS WITH TIME DELAY
- CHAPTER 4: DIGITAL PID CONTROLLER DESIGN
- CHAPTER 5: FIRST ORDER CONTROLLERS FOR LTI SYSTEMS
- CHAPTER 6: CONTROLLER SYNTHESIS FREE OF ANALYTICAL MODELS
- CHAPTER 7: DATA DRIVEN SYNTHESIS OF THREE TERM DIGITAL CONTROLLERS
- PART II: ROBUST PARAMETRIC CONTROL
- CHAPTER 8: STABILITY THEORY FOR POLYNOMIALS
- CHAPTER 9: STABILITY OF A LINE SEGMENT
- CHAPTER 10: STABILITY MARGIN COMPUTATION
- CHAPTER 11: STABILITY OF A POLYTOPE
- CHAPTER 12: ROBUST CONTROL DESIGN
- PART III: OPTIMAL AND ROBUST CONTROL
- CHAPTER 13: THE LINEAR QUADRATIC REGULATOR
- CHAPTER 14: SISO H∞ AND l1 OPTIMAL CONTROL
- CHAPTER 15: H∞ OPTIMAL MULTIVARIABLE CONTROL
- A SIGNAL SPACES
- B NORMS FOR LINEAR SYSTEMS
- PART IV: EPILOGUE
- ROBUSTNESS AND FRAGILITY
- REFERENCES
- INDEX