Description |
1 online resource (xiii, 328 pages) : illustrations |
Contents |
Introduction -- Nonadaptive controllers. State feedback -- Closed-form controllers -- Observers -- Output feedback -- Control of complex-valued PDEs -- Adaptive schemes. Systemization of approaches to adaptive boundary stabilization of PDEs -- Lyapunov-based designs -- Certainty equivalence design with passive identifiers -- Certainty equivalence design with swapping identifiers -- State feedback for PDEs with spatially varying coefficients -- Closed-form adaptive output-feedback controllers -- Output feedback for PDEs with spatially varying coefficients -- Inverse optimal control -- Appendex 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 solution |
Summary |
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 .. |
Bibliography |
Includes bibliographical references and index |
Notes |
Print version record |
Subject |
Differential equations, Parabolic.
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Distributed parameter systems.
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Adaptive control systems.
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MATHEMATICS -- Differential Equations -- Partial.
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MATHEMATICS -- Applied.
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Adaptive control systems
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Differential equations, Parabolic
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Distributed parameter systems
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Form |
Electronic book
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Author |
Krstić, Miroslav, author.
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LC no. |
2009048242 |
ISBN |
9781400835362 |
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1400835364 |
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1282569120 |
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9781282569126 |
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