Robust Control Design Using H-∞ Methods

✍ Scribed by Ian R. Petersen BE,MSEE,PhD, Valery A. Ugrinovskii PhD, Andrey V. Savkin PhD (auth.)

• Publisher: Springer-Verlag London
• Year: 2000
• Tongue: English
• Leaves: 457
• Series: Communications and Control Engineering
• Edition: 1
• Category: Library

✦ Synopsis

This book provides a unified collection of important, recent results for the design of robust controllers for uncertain systems. Most of the results presented are based on H? control theory, or its stochastic counterpart, risk sensitive control theory.
Central to the philosophy of the book is the notion of an uncertain system. Uncertain systems are considered using several different uncertainty modeling schemes. These include norm bounded uncertainty, integral quadratic constraint (IQC) uncertainty and a number of stochastic uncertainty descriptions. In particular, the authors examine stochastic uncertain systems in which the uncertainty is outlined by a stochastic version of the IQC uncertainty description.
For each class of uncertain systems covered in the book, corresponding robust control problems are defined and solutions discussed.

✦ Table of Contents

Front Matter....Pages i-xvi
Introduction....Pages 1-18
Uncertain systems....Pages 19-54
H ∞ control and related preliminary results....Pages 55-101
The S-procedure....Pages 103-123
Guaranteed cost control of time-invariant uncertain systems....Pages 125-179
Finite-horizon guaranteed cost control....Pages 181-214
Absolute stability, absolute stabilization and structured dissipativity....Pages 215-243
Robust control of stochastic uncertain systems....Pages 245-345
Nonlinear versus linear control....Pages 347-392
Missile autopilot design via minimax optimal control of stochastic uncertain systems....Pages 393-402
Robust control of acoustic noise in a duct via minimax optimal LQG control....Pages 403-417
Back Matter....Pages 419-451

✦ Subjects

Control; Computational Intelligence; Engineering Design