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Sliding Modes in Control and Optimization

  • Book
  • © 1992

Overview

Authors:
  1. Vadim I. Utkin

    1. Institute of Control Sciences, Moscow, USSR

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Part of the book series: Communications and Control Engineering (CCE)

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Table of contents (18 chapters)

  1. Front Matter

    Pages I-XVI
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  2. Mathematical Tools

    1. Scope of the Theory of Sliding Modes

      • Vadim I. Utkin
      Pages 1-11

    2. Mathematical Description of Motions on Discontinuity Boundaries

      • Vadim I. Utkin
      Pages 12-28

    3. The Uniqueness Problems

      • Vadim I. Utkin
      Pages 29-43

    4. Stability of Sliding Modes

      • Vadim I. Utkin
      Pages 44-65

    5. Singularly Perturbed Discontinuous Systems

      • Vadim I. Utkin
      Pages 66-73

  3. Design

    1. Front Matter

      Pages 75-75
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    2. Decoupling in Systems with Discontinuous Controls

      • Vadim I. Utkin
      Pages 76-90

    3. Eigenvalue Allocation

      • Vadim I. Utkin
      Pages 91-110

    4. Systems with Scalar Control

      • Vadim I. Utkin
      Pages 111-130

    5. Dynamic Optimization

      • Vadim I. Utkin
      Pages 131-144

    6. Control of Linear Plants in the Presence of Disturbances

      • Vadim I. Utkin
      Pages 145-154

    7. Systems with High Gains and Discontinuous Controls

      • Vadim I. Utkin
      Pages 155-168

    8. Control of Distributed-Parameter Plants

      • Vadim I. Utkin
      Pages 169-188

    9. Control Under Uncertainty Conditions

      • Vadim I. Utkin
      Pages 189-205

    10. State Observation and Filtering

      • Vadim I. Utkin
      Pages 206-222

    11. Sliding Modes in Problems of Mathematical Programming

      • Vadim I. Utkin
      Pages 223-236

  4. Applications

    1. Front Matter

      Pages 237-238
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    2. Manipulator Control System

      • Vadim I. Utkin
      Pages 239-249

    3. Sliding Modes in Control of Electric Motors

      • Vadim I. Utkin
      Pages 250-264
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Keywords

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.

Authors and Affiliations

  • Institute of Control Sciences, Moscow, USSR

    Vadim I. Utkin

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