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.

 

part 2|2 pages

PART II: ROBUST PARAMETRIC CONTROL

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 |26 pages

A SIGNAL SPACES

chapter |34 pages

B NORMS FOR LINEAR SYSTEMS

part 4|2 pages

PART IV: EPILOGUE

chapter |18 pages

ROBUSTNESS AND FRAGILITY