Adaptive Control of Parabolic PDEs
Andrey Smyshlyaev and Miroslav Krstic
Princeton University Press, 2010
344 pages, hardcover
ISBN-13: 978-0691142869
Contents:
Preface
1. Introduction
Part I. Non-Adaptive Controllers
2. State Feedback
3. Closed-Form Controllers
4. Observers
5. Output Feedback
6. Control of Complex-Valued PDEs
Part II. Adaptive Schemes
7. Systematization of Approaches to Adaptive
Boundary Stabilization of PDEs
8. Lyapunov-Based Designs
9. Certainty Equivalence Design with Passive
Identifiers
10. Certainty Equivalence Design with Swapping
Identifiers
11. State Feedback for PDEs with Spatially
Varying Coefficients
12. Closed-Form Adaptive
Output-Feedback Controllers
13. Output Feedback for PDEs with
Spatially Varying Coefficients
14. Inverse Optimal Control
Appendices
References
Index
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Publisher's
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.
"Unique and excellent, this book systematically and rigorously
develops design and analysis tools and clearly explains technical concepts. As
the first book to cover its topics, it significantly expands the scope of
adaptive control knowledge. I strongly recommend this book as either a
reference or an advanced textbook for researchers and graduate students who
study and work in engineering and applied sciences." – Gang Tao, University of Virginia