Control Engineering

Stochastic Switching Systems

Analysis and Design

Authors: Boukas, El-Kébir

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About this book

Stochastic switching systems represent an interesting class, which can be used to model a variety of systems having abrupt random changes in their dynamics. Such systems may be found in the fields of manufacturing, communications, aerospace, power, and economics.

This work presents stochastic switching systems and provides up-to-date methods and techniques for the analysis and design of various control systems with or without uncertainties. An introductory chapter highlights basic concepts and practical models, which are then used to solve more advanced problems throughout the book. Included are many numerical examples as well as LMI analysis methods and design approaches to supplement the developed results.

Specific topics covered include:

*  The stochastic stability problem and its robustness.

*  The stabilization problem; different controllers such as the state feedback, output feedback, and observer-based output feedback are designed for nominal and uncertain systems using LMI conditions.

*  Systems with external disturbances; different approaches are developed to reject the external disturbances.

*  The filtering problem for the class of systems with Markovian jump parameters; Kalman and H-infinity filtering problems are treated and LMI conditions are developed to synthesize the gains of these filters.

* Systems with singular Markovian jump parameters.

Stochastic Switching Systems may be used as a supplementary textbook for graduate-level engineering courses, or as a reference for control engineers, graduate students, and researchers in systems and control. Prerequisites include elementary courses in matrix theory, probability, optimization techniques, and control systems theory.

Reviews

From the reviews:

"The text contains a large number of simple examples. The appendix collects together results from linear systems theory and probability, which may be helpful in understanding the material. The bibliography...is accurate and up-to-date. The treatment of robust stability and stabilization is carried out in parallel with the corresponding results for nominal systems models; this feature will be particularly useful to practicing engineers. Also, almost all of the results are expressed in terms of LMIs and/or their solutions; this is a unifying characteristic and is indeed advantageous on account of readily available complete catalog of the results in the area of MLSs; practicing engineers, in particular, will find it useful." —Mathematical Reviews

"Boukas defines a stochastic switching system as a linear control problem with dynamics partially determined by a finite-state Markov process. … the book may appeal to experts in control theory who already have intuition about linear control systems and may understand the results without needing to peruse the derivations." (Peter C. Kiessler, Journal of the American Statistical Association, Vol. 103 (481), 2008)


Table of contents (1 chapters)

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-0-8176-4452-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-0-8176-3782-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stochastic Switching Systems
Book Subtitle
Analysis and Design
Authors
Series Title
Control Engineering
Copyright
2006
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4452-9
DOI
10.1007/0-8176-4452-0
Hardcover ISBN
978-0-8176-3782-8
Series ISSN
2373-7719
Edition Number
1
Number of Pages
X, 406
Number of Illustrations and Tables
7 b/w illustrations
Topics