Mathematical Methods for Robust and Nonlinear Control: EPSRC Summer School

✍ Scribed by Declan G. Bates (auth.), Matthew C. Turner, Declan G. Bates (eds.)

• Publisher: Springer
• Year: 2007
• Tongue: English
• Leaves: 444
• Edition: 1
• Category: Library

✦ Synopsis

The underlying theory on which much modern robust and nonlinear control is based can often be dif?cult for the student to grasp. In particular, the mathematical - pects can be problematic for students from a standard engineering background. The EPSRC sponsored Summer School which was held in Leicester in September 2006 attempted to “?ll the gap” in students’ appreciation the theory relevant to several important areas of control. This book is a collection of lecture notes which were p- sented at that workshop and consists of, broadly, two parts. The ?rst nine chapters are devoted to the theory behind several areas of robust and nonlinear control and are aimed at introducing fundamental concepts to the reader. The last six chapters contain detailed case studies which aim to demonstrate the use and effectiveness of these modern techniques in real engineering applications. It is hoped that this book will provide a useful introduction to many of the more common robust and nonlinear control techniques and serve as a valuable reference for the more adept practitioner. Leicester, Matthew C. Turner May 2007 Declan G. Bates Contents List of Contributors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XV Part I Theory of Robust and Nonlinear Control 1H Control Design ? Declan G. Bates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 2 Design Speci?cations and Fundamental Trade-offs . . . . . . . . . . . . . . . . . . 5 1. 2. 1 Linear Design Speci?cations for Robust Control Systems . . . . . 6 1. 2. 2 Frequency Domain Design Speci?cations and Fundamental Trade-offs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1. 3 Mixed-sensitivityH Controller Design . . . . . . . . . . . . . . . . . . . . . . . . . .

✦ Table of Contents

Front Matter....Pages -
Front Matter....Pages 1-1
$\mathcal{H}\infty$ Control Design....Pages 3-45
Structural Methods for Linear Systems: An Introduction....Pages 47-98
Modelling and Model Reduction–State-Space Truncation....Pages 99-122
Linear Matrix Inequalities in Control....Pages 123-142
Anti-windup Compensation and the Control of Input-Constrained Systems....Pages 143-173
Output Feedback $\mathcal{H}\infty$ Loop-Shaping Controller Synthesis....Pages 175-194
Stability and Asymptotic Behaviour of Nonlinear Systems: An Introduction....Pages 195-219
Sliding-Mode Observers....Pages 221-242
Sliding-Mode Control in Systems with Output Time Delay....Pages 243-264
Front Matter....Pages 265-265
Control Engineering and Systems Biology....Pages 267-288
Robust Control of a Distillation Column....Pages 289-327
Robust Control of a Hard-Disk Drive....Pages 329-371
Modelling and Control of Railway Vehicle Suspensions....Pages 373-411
Case Study on Anti-windup Compensation - Micro-actuator Control in a Hard-Disk Drive....Pages 413-430
Enhancing Immune System Response Through Optimal Control....Pages 431-444
Back Matter....Pages -

✦ Subjects

Immunology