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Stability and Performance of Control Systems with Actuator Saturation

  • Yuanlong Li
  • Zongli Lin

Part of the Control Engineering book series (CONTRENGIN)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Yuanlong Li, Zongli Lin
    Pages 1-10
  3. Yuanlong Li, Zongli Lin
    Pages 11-61
  4. Yuanlong Li, Zongli Lin
    Pages 63-109
  5. Yuanlong Li, Zongli Lin
    Pages 111-155
  6. Yuanlong Li, Zongli Lin
    Pages 157-198
  7. Yuanlong Li, Zongli Lin
    Pages 199-238
  8. Yuanlong Li, Zongli Lin
    Pages 239-285
  9. Yuanlong Li, Zongli Lin
    Pages 287-334
  10. Yuanlong Li, Zongli Lin
    Pages 335-355
  11. Back Matter
    Pages 357-365

About this book

Introduction

This monograph investigates the stability and performance of control systems subject to actuator saturation. It presents new results obtained by both improving the treatment of the saturation function and constructing new Lyapunov functions.  In particular, two improved treatments of the saturation function are described that exploit the intricate structural properties of its traditional convex hull representation.  The authors apply these treatments to the estimation of the domain of attraction and the finite-gain L2 performance by using the quadratic Lyapunov function and the composite quadratic Lyapunov function. Additionally, an algebraic computation method is given for the exact determination of the maximal contractively invariant ellipsoid, a level set of a quadratic Lyapunov function.

The authors conclude with a look at some of the problems that can be solved by the methods developed and described throughout the book. Numerous step-by-step descriptions, examples, and simulations are provided to illustrate the effectiveness of their results. Stability and Performance of Control Systems with Actuator Saturation will be an invaluable reference for graduate students, researchers, and practitioners in control engineering and applied mathematics.

Keywords

Actuator Saturation Constrained Control Control Systems Performance Assessment Stability Analysis Anti-windup Asymmetric saturation Bounded control L2 gain Nonlinear control

Authors and affiliations

  • Yuanlong Li
    • 1
  • Zongli Lin
    • 2
  1. 1.Department of AutomationShanghai Jiao Tong UniversityShanghaiChina
  2. 2.Electrical & Computer EngineeringUniversity of VirginiaCharlottesvilleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-64246-8
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-64244-4
  • Online ISBN 978-3-319-64246-8
  • Series Print ISSN 2373-7719
  • Series Online ISSN 2373-7727
  • Buy this book on publisher's site