Mathematical Methods for Robust and Nonlinear Control

1. Front Matter

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2. Theory of Robust and Nonlinear Control

   1. Front Matter

      Pages 1-1

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   2. \(\mathcal{H}_\infty\) Control Design

      • Declan G. Bates

      Pages 3-45

   3. Structural Methods for Linear Systems: An Introduction

      • Nicos Karcanias, Efstathios Milonidis

      Pages 47-98

   4. Modelling and Model Reduction–State-Space Truncation

      • David J. N. Limebeer

      Pages 99-122

   5. Linear Matrix Inequalities in Control

      • Guido Herrmann, Matthew C. Turner, Ian Postlethwaite

      Pages 123-142

   6. Anti-windup Compensation and the Control of Input-Constrained Systems

      • Matthew C. Turner, Guido Herrman, Ian Postlethwaite

      Pages 143-173

   7. Output Feedback \(\mathcal{H}_\infty\) Loop-Shaping Controller Synthesis

      • Emmanuel Prempain, Ian Postlethwaite

      Pages 175-194

   8. Stability and Asymptotic Behaviour of Nonlinear Systems: An Introduction

      • Hartmut Logemann, Eugene P. Ryan

      Pages 195-219

   9. Sliding-Mode Observers

      • Christopher Edwards, Sarah K. Spurgeon, Chee P. Tan, Nitin Patel

      Pages 221-242

   10. Sliding-Mode Control in Systems with Output Time Delay

       • Alan S. I. Zinober, G. Liu, Yuri B. Shtessel

       Pages 243-264

3. Applications of Robust and Nonlinear Control

   1. Front Matter

      Pages 265-265

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   2. Control Engineering and Systems Biology

      • Burton W. Andrews, Pablo A. Iglesias

      Pages 267-288

   3. Robust Control of a Distillation Column

      • Da-Wei Gu

      Pages 289-327

   4. Robust Control of a Hard-Disk Drive

      • Da-Wei Gu

      Pages 329-371

   5. Modelling and Control of Railway Vehicle Suspensions

      • Argyrios C. Zolotas, Roger M. Goodall

      Pages 373-411

   6. Case Study on Anti-windup Compensation - Micro-actuator Control in a Hard-Disk Drive

      • Guido Herrmann, Matthew C. Turner, Ian Postlethwaite

      Pages 413-430

   7. Enhancing Immune System Response Through Optimal Control

      • Robert F. Harrison

      Pages 431-444

4. Back Matter

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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 RobustControl Systems . . . . . 6 1. 2. 2 Frequency Domain Design Speci?cations and Fundamental Trade-offs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1. 3 Mixed-sensitivityH Controller Design . . . . . . . . . . . . . . . . . . . . . . . . . .

• Control
• H-Infinity Control
• Hard Disk Drive
• Immune System
• MATLAB®
• Model Reduction
• Nonlinear Control
• Nonlinear Systems
• Robust Control
• Windup
• actuator
• control engineering
• linear optimization
• model
• modeling

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