Adaptive Control of Parabolic PDEs
eBook - PDF

Adaptive Control of Parabolic PDEs

  1. 344 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Adaptive Control of Parabolic PDEs

About this book

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.

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Yes, you can access Adaptive Control of Parabolic PDEs by Andrey Smyshlyaev,Miroslav Krstic in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Contents
  5. Preface
  6. Chapter 1. Introduction
  7. PART I: NONADAPTIVE CONTROLLERS
  8. PART II: ADAPTIVE SCHEMES
  9. Appendix A. Adaptive Backstepping for Nonlinear ODEs—The Basics
  10. Appendix B. Poincaré and Agmon Inequalities
  11. Appendix C. Bessel Functions
  12. Appendix D. Barbalat's and Other Lemmas for Proving Adaptive Regulation
  13. Appendix E. Basic Parabolic PDEs and Their Exact Solutions
  14. References
  15. Index