Systems & Control: Foundations & Applications

Delay Compensation for Nonlinear, Adaptive, and PDE Systems

Authors: Krstic, Miroslav

  • Presents an extensive set of techniques available to a mathematician or engineer working on delay systems
  • Provides numerous examples that ease a student new to delay systems into the topic
  • Ideal for a broad audience of graduate students, researchers, and professionals in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering
  • Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems
see more benefits

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-0-8176-4877-0
  • 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 978-0-8176-4876-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Some of the most common dynamic phenomena that arise in engineering practice—actuator and sensor delays—fall outside the scope of standard finite-dimensional system theory. The first attempt at infinite-dimensional feedback design in the field of control systems—the Smith predictor—has remained limited to linear finite-dimensional plants over the last five decades. Shedding light on new opportunities in predictor feedback, this book significantly broadens the set of techniques available to a mathematician or engineer working on delay systems.

The book is a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay.

Specific features and topics include:

* A construction of explicit Lyapunov functionals, which can be used in control design or stability analysis, leading to a resolution of several long-standing problems in predictor feedback.

* A detailed treatment of individual classes of problems—nonlinear ODEs, parabolic PDEs, first-order hyperbolic PDEs, second-order hyperbolic PDEs, known time-varying delays, unknown constant delays—will help the reader master the techniques presented.

* Numerous examples ease a student new to delay systems into the topic.

* Minimal prerequisites: the basics of function spaces and Lyapunov theory for ODEs.

* The basics of Poincaré and Agmon inequalities, Lyapunov and input-to-state stability, parameter projection for adaptive control, and Bessel functions are summarized in appendices for the reader’s convenience.

Delay Compensation for Nonlinear, Adaptive, and PDE Systems is an excellent reference for graduate students, researchers, and practitioners in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering. Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems.

Reviews

From the reviews:

“A research monograph that introduces the treatment of systems with input delays as PDE-ODE cascade systems with boundary control. … The book should be of interest to researchers working on control of delay systems - engineers, graduate students, and delay systems specialists in academia. Mathematicians … will find the book interesting … . Chemical engineers and process dynamic researchers, who have traditionally been users of the Smith predictor and related approaches, should find the various extensions of this methodology that the book presents to be useful.” (Bojidar Cheshankov, Zentralblatt MATH, Vol. 1181, 2010)

Table of contents (3 chapters)

  • Time-Varying Delay

    Miroslav Krstic

    Pages 85-103

  • Strict-Feedforward Systems

    Miroslav Krstic

    Pages 191-216

  • Observers for ODEs Involving PDE Sensor and Actuator Dynamics

    Miroslav Krstic

    Pages 305-327

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-0-8176-4877-0
  • 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 978-0-8176-4876-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Delay Compensation for Nonlinear, Adaptive, and PDE Systems
Authors
Series Title
Systems & Control: Foundations & Applications
Copyright
2009
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4877-0
DOI
10.1007/978-0-8176-4877-0
Hardcover ISBN
978-0-8176-4876-3
Series ISSN
2324-9749
Edition Number
1
Number of Pages
XIV, 466
Number of Illustrations and Tables
52 b/w illustrations
Topics