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Book Details

  New Book

Adaptive Control of Parabolic PDEs


By SMYSHLYAEV  (Author), MIROSLAV KRSTIC (Author)
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Price : $81.00  $64.80
ISBN : 9780691142869  
Page : 344
Year of Publication : 2010    Edition : 0
Publisher : PRINCETON UNIVERSITY PRESS
Subject : MATHEMATICS & STATISTICS



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Description :

This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also presents a rich collection of methods for system identification of PDEs, methods that employ Lyapunov, passivity, observer-based, swapping-based, gradient, and least-squares tools and parameterizations, among others.

Including a wealth of stimulating ideas and providing the mathematical and control-systems background needed to follow the designs and proofs, the book will be of great use to students and researchers in mathematics, engineering, and physics. It also makes a valuable supplemental text for graduate courses on distributed parameter systems and adaptive control.



Miroslav Krstic is the Sorenson Distinguished Professor and the founding director of the Cymer Center for Control Systems and Dynamics at the University of California, San Diego. Smyshlyaev and Krstic are the authors of Boundary Control of PDEs.

Content :

Preface

Chapter 1. Introduction

PART I: NONADAPTIVE CONTROLLERS

Chapter 2. State Feedback

Chapter 3. Closed-Form Controllers

Chapter 4. Observers

Chapter 5. Output Feedback

Chapter 6. Control of Complex-Valued PDEs

PART II: ADAPTIVE SCHEMES

Chapter 7. Systematization of Approaches to Adaptive Boundary Stabilization

Chapter 8. Lyapunov-Based Designs

Chapter 9. Certainty Equivalence Design with Passive Identifiers

Chapter 10. Certainty Equivalence Design with Swapping Identifiers

Chapter 11. State Feedback for PDEs with Spatially Varying Coefficients

Chapter 12. Closed-Form Adaptive Output- Feedback Contollers

Chapter 13. Output Feedback for PDEs with Spatially Varying Coefficients

Chapter 14. Inverse Optimal Control

Appendix A. Adaptive Backstepping for Nonlinear ODEs- The Basics

Appendix B. Poincaré and Agmon Inequalities

Appendix C. Bessel Functions

Appendix D. Barbalat's and Other Lemmas for Proving Adaptive Regulation

Appendix E. Basic Parabolic PDEs and Their Exact Solutions

References

Index

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