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Saturated Switching Systems

  • Book
  • © 2012

Overview

Authors:
  1. Abdellah Benzaouia

    1. , Deparment of Physics, University of Cadi Ayyad, Marrakech, Morocco

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  • Readers are shown novel means for applying multiple Lyapunov functions and linear matrix integrals to switched systems
  • Provides readers with methods for overcoming saturation in the actuators of process, automotive, aerospace and other systems
  • Widespread use of MATLAB® modelling examples makes the material easily accessible to students and practitioners

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 426)

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Table of contents (10 chapters)

  1. Front Matter

    Pages 1-18
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  2. Saturated Linear Systems: Analysis

    • Abdellah Benzaouia
    Pages 1-35

  3. Saturated Linear Systems: Controller Design

    • Abdellah Benzaouia
    Pages 37-75

  4. Introduction to Switched Systems

    • Abdellah Benzaouia
    Pages 77-94

  5. Saturated Control Problem of Switching Systems

    • Abdellah Benzaouia
    Pages 95-116

  6. Saturated Markovian Switching Systems

    • Abdellah Benzaouia
    Pages 117-144

  7. Stabilization of Saturated Switching Systems

    • Abdellah Benzaouia
    Pages 145-164

  8. Stabilization of Saturated Switching Systems with Uncertainties

    • Abdellah Benzaouia
    Pages 165-193

  9. Stability and Stabilization of Positive Switching Linear Discrete-Time Systems

    • Abdellah Benzaouia
    Pages 195-216

  10. Stabilization of Discrete 2 D Switching Systems

    • Abdellah Benzaouia
    Pages 217-245

  11. Switching Takagi-Sugeno Systems

    • Abdellah Benzaouia
    Pages 247-274

  12. Back Matter

    Pages 0--1
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Keywords

About this book

Saturated Switching Systems treats the problem of actuator saturation, inherent in all dynamical systems by using two approaches: positive invariance in which the controller is designed to work within a region of non-saturating linear behaviour; and saturation technique which allows saturation but guarantees asymptotic stability. The results obtained are extended from the linear systems in which they were first developed to switching systems with uncertainties, 2D switching systems, switching systems with Markovian jumping and switching systems of the Takagi-Sugeno type. The text represents a thoroughly referenced distillation of results obtained in this field during the last decade. The selected tool for analysis and design of stabilizing controllers is based on multiple Lyapunov functions and linear matrix inequalities. All the results are illustrated with numerical examples and figures many of them being modelled using MATLAB®. Saturated Switching Systems will be of interest to academic researchers in control systems and to professionals working in any of the many fields where systems are affected by saturation including: chemical and pharmaceutical batch processing, manufacturing (for example in steel rolling), air-traffic control, and the automotive and aerospace industries.

Reviews

From the book reviews:

“The book covers a large spectrum of topics, which are presented in a clear, concise style. The book may be recommended to beginners, as an appreciable quality of the author is the capacity to focus on the essential.” (Angelo Alessandri, Mathematical Reviews, February, 2015)

Authors and Affiliations

  • , Deparment of Physics, University of Cadi Ayyad, Marrakech, Morocco

    Abdellah Benzaouia

About the author

Presently professor at Cadi Ayad University, he has been working on saturation since 1985 and for ten years on switching systems.

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