Control Systems with Actuator Saturation

1. Front Matter

   Pages i-xvi

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2. Introduction

   • Tingshu Hu, Zongli Lin

   Pages 1-9

3. Null Controllability — Continuous-Time Systems

   • Tingshu Hu, Zongli Lin

   Pages 11-35

4. Null Controllability —Discrete-Time Systems

   • Tingshu Hu, Zongli Lin

   Pages 37-53

5. Stabilization on Null Controllable Region — Continuous-Time Systems

   • Tingshu Hu, Zongli Lin

   Pages 55-83

6. Stabilization on NullControllable Region — Discrete-Time Systems

   • Tingshu Hu, Zongli Lin

   Pages 85-111

7. Practical Stabilization on Null Controllable Region

   • Tingshu Hu, Zongli Lin

   Pages 113-156

8. Estimation of the Domain of Attraction under Saturated Linear Feedback

   • Tingshu Hu, Zongli Lin

   Pages 157-182

9. On Enlarging the Domain of Attraction

   • Tingshu Hu, Zongli Lin

   Pages 183-193

10. Semi-Global Stabilization with Guaranteed Regional Performance

    • Tingshu Hu, Zongli Lin

    Pages 195-210

11. Disturbance Rejection with Stability

    • Tingshu Hu, Zongli Lin

    Pages 211-228

12. On Maximizing the Convergence Rate

    • Tingshu Hu, Zongli Lin

    Pages 229-264

13. Output Regulation — Continuous-Time Systems

    • Tingshu Hu, Zongli Lin

    Pages 265-303

14. Output Regulation — Discrete-Time Systems

    • Tingshu Hu, Zongli Lin

    Pages 305-325

15. Linear Systems with Non-Actuator Saturation

    • Tingshu Hu, Zongli Lin

    Pages 327-373

16. Back Matter

    Pages 375-392

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Saturation nonlinearities are ubiquitous in engineering systems. In control systems, every physical actuator or sensor is subject to saturation owing to its maximum and minimum limits. A digital filter is subject to saturation if it is implemented in a finite word length format. Saturation nonlinearities are also purposely introduced into engineering systems such as control sys­ tems and neural network systems. Regardless of how saturation arises, the analysis and design of a system that contains saturation nonlinearities is an important problem. Not only is this problem theoretically challenging, but it is also practically imperative. This book intends to study control systems with actuator saturation in a systematic way. It will also present some related results on systems with state saturation or sensor saturation. Roughly speaking, there are two strategies for dealing with actuator sat­ uration. The first strategy is to neglect the saturation in the first stage of the control design process, and then to add some problem-specific schemes to deal with the adverse effects caused by saturation. These schemes, known as anti-windup schemes, are typically introduced using ad hoc modifications and extensive simulations. The basic idea behind these schemes is to intro­ duce additional feedbacks in such a way that the actuator stays properly within its limits. Most of these schemes lead to improved performance but poorly understood stability properties.

• Actuator saturation
• Control Engineering
• Linear Systems
• Sensor
• actuator
• calculus
• reading
• complexity

"The book is very well written. The topics chosen are all fundamental control problems and are treated in depth. All the results presented in the book appear to be the authors’ own recent research findings and, without doubt, represent a significant contribution to the important research topic of analysis and design for control systems with actuator saturation. The results included in the book, along with an extensive bibliography will prove to be an important resource for researchers in this area as well as researchers interested in entering this area….The book will prove equally valuable to practicing engineers. The results included in the book are applicable to general systems including strictly unstable ones. All optimization problems involved are convex and can readily and reliably be solved with the Matlab LMI Toolbox. Moreover, all the results are illustrated with fully worked out examples and simulation. In conclusion, the book will be a valuable addition to the libraries of both control theory researchers and control engineering practitioners." —International Journal of Robust and Nonlinear Control

 

"The book reads very well. The results, along with an extensive bibliography will prove to be an important resource for researchers in this area as well as researchers interested in entering this area…. It is also noted that many results developed in the book may have applications in the study of a class of recurrent artificial neural networks." —IEEE Transactions on Automatic Control

• Department of Electrical Engineering, University of Virginia, Charlottesville, USA

  Tingshu Hu, Zongli Lin

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