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Mathematical Methods for Robust and Nonlinear Control

EPSRC Summer School

  • Book
  • © 2007

Overview

Editors:
  1. Matthew C. Turner
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  2. Declan G. Bates
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  • Gives students and industrial practitioners a better grounding in the theory underlying several important areas of control
  • Helps the reader to apply otherwise abstruse ideas of nonlinear control in a variety of real systems

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 367)

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Table of contents (15 chapters)

  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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Keywords

About this book

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 . . . . . . . . . . . . . . . . . . . . . . . . . .

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