Systems & Control: Foundations & Applications

Nonlinear and Robust Control of PDE Systems

Methods and Applications to Transport-Reaction Processes

Authors: Christofides, Panagiotis D.

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-1-4612-0185-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-0-8176-4156-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-1-4612-6652-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The interest in control of nonlinear partial differential equation (PDE) sys­ tems has been triggered by the need to achieve tight distributed control of transport-reaction processes that exhibit highly nonlinear behavior and strong spatial variations. Drawing from recent advances in dynamics of PDE systems and nonlinear control theory, control of nonlinear PDEs has evolved into a very active research area of systems and control. This book­ the first of its kind- presents general methods for the synthesis of nonlinear and robust feedback controllers for broad classes of nonlinear PDE sys­ tems and illustrates their applications to transport-reaction processes of industrial interest. Specifically, our attention focuses on quasi-linear hyperbolic and parabolic PDE systems for which the manipulated inputs and measured and controlled outputs are distributed in space and bounded. We use geometric and Lyapunov-based control techniques to synthesize nonlinear and robust controllers that use a finite number of measurement sensors and control actuators to achieve stabilization of the closed-loop system, output track­ ing, and attenuation of the effect of model uncertainty. The controllers are successfully applied to numerous convection-reaction and diffusion-reaction processes, including a rapid thermal chemical vapor deposition reactor and a Czochralski crystal growth process. The book includes comparisons of the proposed nonlinear and robust control methods with other approaches and discussions of practical implementation issues.

Reviews

"The concrete aspect of this book is its strength, and it may inspire theoreticians in the control of PDEs so that they realize design methods in the finite-dimensional case have interesting extensions in their area; it may encourage practitioners, giving them confidence in dealing with PDEs. The development is illustrated with applications from the chemical industry throughout the book (reactor, chemical vapor deposition, crystal growth)."   —Zentralblatt Math

"This book deals with nonlinear and robust feedback controllers for hyperbolic and parabolic PDEs with fixed spatial domains and parabolic PDEs with time-dependent spatial domains. It includes applications to transport-reaction processes of industrial interest and also discusses practical implementation issues."   —Monatshefte für Mathematik


Table of contents (7 chapters)

  • Introduction

    Christofides, Panagiotis D.

    Pages 1-10

  • Feedback Control of Hyperbolic PDE Systems

    Christofides, Panagiotis D.

    Pages 11-46

  • Robust Control of Hyperbolic PDE Systems

    Christofides, Panagiotis D.

    Pages 47-70

  • Feedback Control of Parabolic PDE Systems

    Christofides, Panagiotis D.

    Pages 71-97

  • Robust Control of Parabolic PDE Systems

    Christofides, Panagiotis D.

    Pages 99-121

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-1-4612-0185-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-0-8176-4156-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-1-4612-6652-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Nonlinear and Robust Control of PDE Systems
Book Subtitle
Methods and Applications to Transport-Reaction Processes
Authors
Series Title
Systems & Control: Foundations & Applications
Copyright
2001
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0185-4
DOI
10.1007/978-1-4612-0185-4
Hardcover ISBN
978-0-8176-4156-6
Softcover ISBN
978-1-4612-6652-5
Series ISSN
2324-9749
Edition Number
1
Number of Pages
XVII, 251
Topics