Adaptive Control of Parabolic PDEs / / Miroslav Krstic, Andrey Smyshlyaev.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
• VerfasserIn: Smyshlyaev, Andrey,; Krstic, Miroslav,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2010]; ©2010
• Year of Publication: 2010
• Edition: Course Book
• Language: English
• Physical Description: 1 online resource (344 p.) :; 51 line illus.
• Other title: Frontmatter --; Contents --; Preface --; Chapter One. Introduction --; PART I. Nonadaptive Controllers --; Chapter Two. State Feedback --; Chapter Three. Closed-Form Controllers --; Chapter Four. Observers --; Chapter Five. Output Feedback --; Chapter Six. Control of Complex-Valued PDEs --; PART II. Adaptive Schemes --; Chapter Seven. Systematization of Approaches to Adaptive Boundary Stabilization of PDEs --; Chapter Eight. Lyapunov-Based Designs --; Chapter Nine. Certainty Equivalence Design with Passive Identifiers --; Chapter Ten. Certainty Equivalence Design with Swapping Identifiers --; Chapter Eleven. State Feedback for PDEs with Spatially Varying Coefficients --; Chapter Twelve. Closed-Form Adaptive Output-Feedback Controllers --; Chapter Thirteen. Output Feedback for PDEs with Spatially Varying Coefficients --; Chapter Fourteen. 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400835362; 9783110442502
• DOI: 10.1515/9781400835362
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Miroslav Krstic, Andrey Smyshlyaev.

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.