Adaptive Control of Parabolic PDEs

Released on by Andrey Smyshlyaev
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  • Adaptive Control of Parabolic PDEs Book Detail

  • Author : Andrey Smyshlyaev
  • Release Date : 2010-07-01
  • Publisher : Princeton University Press
  • Genre : Mathematics
  • Pages : 344
  • ISBN 13 : 1400835364
  • File Size : 53,53 MB
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Adaptive Control of Parabolic PDEs by Andrey Smyshlyaev PDF Summary

Book 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.

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