Saturated Switching Systems

1. Front Matter

   Pages 1-18

   PDF

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

    PDF

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.

• Activator Saturation
• Automotive Control
• Batch Processes
• Control Theory
• Hybrid Systems
• Linear Matrix Inequalities
• Lyapunov Functions
• Positive Invariance
• Process Control

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)

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

  Abdellah Benzaouia

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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