ABSTRACT
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, Hinfinity 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
part 1|2 pages
PART I: THREE TERM CONTROLLERS
chapter 1|22 pages
PID CONTROLLERS: AN OVERVIEW OF CLASSICAL THEORY
chapter 2|30 pages
PID CONTROLLERS FOR DELAY-FREE LTI SYSTEMS
chapter 3|98 pages
PID CONTROLLERS FOR SYSTEMS WITH TIME DELAY
chapter 4|28 pages
DIGITAL PID CONTROLLER DESIGN
chapter 5|26 pages
FIRST ORDER CONTROLLERS FOR LTI SYSTEMS
chapter 6|52 pages
CONTROLLER SYNTHESIS FREE OF ANALYTICAL MODELS
chapter 7|32 pages
DATA DRIVEN SYNTHESIS OF THREE TERM DIGITAL CONTROLLERS
part 2|2 pages
PART II: ROBUST PARAMETRIC CONTROL
chapter 8|40 pages
STABILITY THEORY FOR POLYNOMIALS
chapter 9|46 pages
STABILITY OF A LINE SEGMENT
chapter 10|64 pages
STABILITY MARGIN COMPUTATION
chapter 11|106 pages
STABILITY OF A POLYTOPE
chapter 12|90 pages
ROBUST CONTROL DESIGN
part 3|2 pages
PART III: OPTIMAL AND ROBUST CONTROL
chapter 13|48 pages
THE LINEAR QUADRATIC REGULATOR
chapter 14|70 pages
SISO H∞ AND l1 OPTIMAL CONTROL
chapter 15|48 pages
H∞ OPTIMAL MULTIVARIABLE CONTROL
chapter |26 pages
A SIGNAL SPACES
chapter |34 pages
B NORMS FOR LINEAR SYSTEMS
part 4|2 pages
PART IV: EPILOGUE