Adaptive Systems

1. Front Matter

   Pages i-xvii

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2. Adaptive Systems

   • Iven Mareels, Jan Willem Polderman

   Pages 1-26

3. Systems And Their Representations

   • Iven Mareels, Jan Willem Polderman

   Pages 27-49

4. Adaptive systems: principles of identification

   • Iven Mareels, Jan Willem Polderman

   Pages 50-102

5. Adaptive Pole Assignment

   • Iven Mareels, Jan Willem Polderman

   Pages 103-138

6. Direct Adaptive Model Reference Control

   • Iven Mareels, Jan Willem Polderman

   Pages 139-171

7. Universal Controllers

   • Iven Mareels, Jan Willem Polderman

   Pages 172-203

8. The pole/zero cancellation problem

   • Iven Mareels, Jan Willem Polderman

   Pages 204-231

9. Averaging Analysis For Adaptive Systems

   • Iven Mareels, Jan Willem Polderman

   Pages 232-285

10. Dynamics of adaptive systems: A case study

    • Iven Mareels, Jan Willem Polderman

    Pages 286-303

11. Epilogue

    • Iven Mareels, Jan Willem Polderman

    Pages 304-304

12. Back Matter

    Pages 305-342

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Loosely speaking, adaptive systems are designed to deal with, to adapt to, chang­ ing environmental conditions whilst maintaining performance objectives. Over the years, the theory of adaptive systems evolved from relatively simple and intuitive concepts to a complex multifaceted theory dealing with stochastic, nonlinear and infinite dimensional systems. This book provides a first introduction to the theory of adaptive systems. The book grew out of a graduate course that the authors taught several times in Australia, Belgium, and The Netherlands for students with an engineering and/or mathemat­ ics background. When we taught the course for the first time, we felt that there was a need for a textbook that would introduce the reader to the main aspects of adaptation with emphasis on clarity of presentation and precision rather than on comprehensiveness. The present book tries to serve this need. We expect that the reader will have taken a basic course in linear algebra and mul­ tivariable calculus. Apart from the basic concepts borrowed from these areas of mathematics, the book is intended to be self contained.

• Adaptive Systems
• Finite
• Introduction
• Variable
• average
• calculus
• equation

From the reviews:

"This book is intended to be a first introduction to the theory of adaptive systems for graduate students. It treats exclusively deterministic adaptive control in a discrete-time formulation…. The basic course material contained in Chapters 1, 2, 3, 4, 5, and 6 is supplemented with the presentation of more advanced problems and tools such as well-posedness of the control problem during adaptation (Chapter 7), averaging techniques for analysis of adaptive systems (Chapter 8), and global dynamical analysis of adaptive systems operating in a plant-model mismatch situation (Chapter 9)." —Mathematical Reviews

"The book is based on graduate courses taught by both authors and is intended as a text-book. Therefore it is self contained and only basic knowledge of linear algebra and ordinary differential equations is needed. … cover the basic theory of adaptive systems and can be used for a one trimester course. … The book is accompanied by many solved and unsolved exercises, two Maple procedures and a large bibliography." (EMS Newsletter, Issue 27, March, 1998)

• Department of Engineering Faculty of Engineering & Information Technology, Australian National University, Australia

  Iven Mareels

• Department of Applied Mathematics, University of Twente, Enschede, The Netherlands

  Jan Willem Polderman

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