Communications and Control Engineering

Sliding Modes in Control and Optimization

Authors: Utkin, Vadim I.

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About this book

The book is devoted to systems with discontinuous control. The study of discontinuous dynamic systems is a multifacet problem which embraces mathematical, control theoretic and application aspects. Times and again, this problem has been approached by mathematicians, physicists and engineers, each profession treating it from its own positions. Interestingly, the results obtained by specialists in different disciplines have almost always had a significant effect upon the development of the control theory. It suffices to mention works on the theory of oscillations of discontinuous nonlinear systems, mathematical studies in ordinary differential equations with discontinuous righthand parts or variational problems in nonclassic statements. The unremitting interest to discontinuous control systems enhanced by their effective application to solution of problems most diverse in their physical nature and functional purpose is, in the author's opinion, a cogent argument in favour of the importance of this area of studies. It seems a useful effort to consider, from a control theoretic viewpoint, the mathematical and application aspects of the theory of discontinuous dynamic systems and determine their place within the scope of the present-day control theory. The first attempt was made by the author in 1975-1976 in his course on "The Theory of Discontinuous Dynamic Systems" and "The Theory of Variable Structure Systems" read to post-graduates at the University of Illinois, USA, and then presented in 1978-1979 at the seminars held in the Laboratory of Systems with Discontinous Control at the Institute of Control Sciences in Moscow.

Table of contents (18 chapters)

  • Scope of the Theory of Sliding Modes

    Utkin, Vadim I.

    Pages 1-11

  • Mathematical Description of Motions on Discontinuity Boundaries

    Utkin, Vadim I.

    Pages 12-28

  • The Uniqueness Problems

    Utkin, Vadim I.

    Pages 29-43

  • Stability of Sliding Modes

    Utkin, Vadim I.

    Pages 44-65

  • Singularly Perturbed Discontinuous Systems

    Utkin, Vadim I.

    Pages 66-73

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-84379-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $139.99
price for USA
  • ISBN 978-3-642-84381-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Sliding Modes in Control and Optimization
Authors
Series Title
Communications and Control Engineering
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin, Heidelberg
eBook ISBN
978-3-642-84379-2
DOI
10.1007/978-3-642-84379-2
Softcover ISBN
978-3-642-84381-5
Series ISSN
0178-5354
Edition Number
1
Number of Pages
XVI, 286
Additional Information
Original Russian edition published by Nauka, Moscow in 1981
Topics