Description |
1 online resource (xiii, 328 pages) : illustrations |
Physical Medium |
polychrome |
Description |
text file |
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. |
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. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Differential equations, Parabolic.
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Differential equations, Parabolic. |
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Distributed parameter systems.
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Distributed parameter systems. |
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Adaptive control systems.
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Adaptive control systems. |
Genre/Form |
Electronic books.
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Electronic books.
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Added Author |
Krstić, Miroslav, author.
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Other Form: |
Print version: Smyshlyaev, Andrey. Adaptive control of parabolic PDEs. Princeton : Princeton University Press, ©2010 9780691142869 (DLC) 2009048242 (OCoLC)466341418 |
ISBN |
9781400835362 (electronic book) |
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1400835364 (electronic book) |
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9780691142869 (hardcover ; alkaline paper) |
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0691142866 (hardcover ; alkaline paper) |
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1282569120 |
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9781282569126 |
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