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Book
Adaptive Control of Parabolic PDEs
Authors: ---
ISBN: 9780691142869 0691142866 9786612569128 1400835364 1282569120 9781400835362 9781282569126 Year: 2010 Publisher: Princeton, NJ

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Abstract

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.


Book
Boundary control of PDEs : a course on backstepping designs
Authors: ---
ISBN: 9780898716504 0898716500 Year: 2008 Publisher: Philadelphia: Society for industrial and applied mathematics,

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Digital
Adaptive Control of Parabolic PDEs
Authors: ---
ISBN: 9781400835362 9780691142869 Year: 2010 Publisher: Princeton, N.J. Princeton University Press

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Keywords

Mathematics

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