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  • © 2018

Stability and Performance of Control Systems with Actuator Saturation

Birkhäuser
  • Covers the most recent results on control systems with actuator saturation
  • Includes numerous step-by-step descriptions of the analysis and design of algorithms
  • Provides many examples and simulations to illustrate the effectiveness of results presented
  • All-new results not yet covered elsewhere in the literature
  • Includes supplementary material: sn.pub/extras

Part of the book series: Control Engineering (CONTRENGIN)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xiv
  2. Introduction

    • Yuanlong Li, Zongli Lin
    Pages 1-10
  3. Convex Hull Representations

    • Yuanlong Li, Zongli Lin
    Pages 11-61
  4. The Maximal Contractively Invariant Ellipsoids

    • Yuanlong Li, Zongli Lin
    Pages 63-109
  5. Composite Quadratic Lyapunov Functions

    • Yuanlong Li, Zongli Lin
    Pages 111-155
  6. Disturbance Tolerance and Rejection

    • Yuanlong Li, Zongli Lin
    Pages 157-198
  7. Partitioning of the Convex Hull

    • Yuanlong Li, Zongli Lin
    Pages 199-238
  8. Control Systems with an Algebraic Loop

    • Yuanlong Li, Zongli Lin
    Pages 239-285
  9. Generalized Piecewise Quadratic Lyapunov Functions

    • Yuanlong Li, Zongli Lin
    Pages 287-334
  10. Linear Systems with Asymmetric Saturation

    • Yuanlong Li, Zongli Lin
    Pages 335-355
  11. Back Matter

    Pages 357-365

About this book

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.

Reviews

“This book deals with the stability and performance of control systems subject to actuator saturations. … The book will be useful for researchers in control engineering and applied mathematics. A preliminary knowledge in the basics of control theory and linear matrix inequality technique in control is needed to fully understand the material in the book.” (Germain Garcia, Mathematical Reviews, February, 2019)

Authors and Affiliations

  • Department of Automation, Shanghai Jiao Tong University, Shanghai, China

    Yuanlong Li

  • Electrical & Computer Engineering, University of Virginia, Charlottesville, USA

    Zongli Lin

Bibliographic Information

  • Book Title: Stability and Performance of Control Systems with Actuator Saturation

  • Authors: Yuanlong Li, Zongli Lin

  • Series Title: Control Engineering

  • DOI: https://doi.org/10.1007/978-3-319-64246-8

  • Publisher: Birkhäuser Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG 2018

  • Hardcover ISBN: 978-3-319-64244-4Published: 14 December 2017

  • Softcover ISBN: 978-3-319-87757-0Published: 31 August 2018

  • eBook ISBN: 978-3-319-64246-8Published: 28 November 2017

  • Series ISSN: 2373-7719

  • Series E-ISSN: 2373-7727

  • Edition Number: 1

  • Number of Pages: XIV, 365

  • Number of Illustrations: 3 b/w illustrations, 86 illustrations in colour

  • Topics: Systems Theory, Control, Control and Systems Theory

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access