Adaptive Control of Parabolic PDEs /

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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 a...

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Bibliographic Details
Main Authors: Smyshlyaev, Andrey (Author), Krstić, Miroslav (Author)
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2010.
Series:Book collections on Project MUSE.
Subjects:
Distributed parameter systems.
Differential equations, Parabolic.
Adaptive control systems.
MATHEMATICS > Applied.
MATHEMATICS > Differential Equations > Partial.
Systemes adaptatifs.
Systemes à parametres repartis.
Équations differentielles paraboliques.
Electronic book.
Electronic books.
Online Access:Texto completo
Table of 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. Poincare 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.

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