Stability and Stabilization of Linear Systems with Saturating Actuators

Authors: Tarbouriech, S., Garcia, G., Gomes da Silva Jr., J.M., Queinnec, I.

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  • Gives the reader an in-depth understanding of the phenomena caused by the more-or-less ubiquitous problem of actuator saturation.
  • Proposes methods and algorithms designed to avoid, manage or overcome the effects of actuator saturation.
  • Uses a state-space approach to ensure local and global stability of the systems considered.
  • Compilation of fifteen years’ worth of research results.
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About this book

It is well-known that actuator saturation is present in practically all control systems, the signal amplitude that an actuator can deliver usually being limited by physical or safety constraints. Neglect of these amplitude bounds and the consequent actuator saturation can be a source of performance degradation or even instability of the closed-loop system so an in-depth understanding of the phenomena caused by saturation is of importance in solving and avoiding problems in industrial control systems.

 

Stability and Stabilization of Linear Systems with Saturating Actuators details both basic concepts and tools fundamental for the analysis and synthesis of linear systems subject to actuator saturation and, in a formal though didactic fashion, developments in recent research. The authors consider a state-space approach and focus on the problems of stability analysis and the synthesis of stabilizing control laws in both local and global contexts. Different methods of modeling the saturation and behavior of the nonlinear closed-loop system are given special attention. Various kinds of Lyapunov functions, polyhedral, quadratic and Lure-type, for example, are considered in order to present different internal as well as external stability and stabilization conditions. Results arising from uncertain systems and treating performance in the presence of saturation are also given. Associated with the different theoretical results, the text proposes methods and algorithms for computing estimates of the basin of attraction and sets of admissible exogenous signals as well as for designing control systems taking into account, a priori, the control bounds and the possibility of saturation. In addition, the so-called anti-windup approach, which consists of adding an extra layer in the pre-designed control system specifically to tackle the undesirable effects of saturation, is presented.

 

These methods and algorithms are based on the use of linear programming and linear matrix inequalities and can be easily implemented with MATLAB® and Scilab.

 

Stability and Stabilization of Linear Systems with Saturating Actuators is a valuable reference for electrical, mechanical, chemical and aeronautical engineers working on control applications, as well as graduate students and researchers interested in the development of new tools and theoretical results concerning systems with saturation.

Reviews

From the reviews:

“This monograph covers a wide range of topics in the problems of stability and stabilization for linear control systems in the presence of actuator saturation. … The book will be useful to researchers and graduate students in various areas of control applications concerning systems with saturation.” (Vladimir Sobolev, zbMATH, Vol. 1279, 2014)

“This nice book brings together the results of many years of research efforts by the authors and others about the control of linear systems with saturating actuators. … This book can be useful for students, researchers and control engineers facing practical problems.” (Paulo Sérgio Pereira da Silva, Mathematical Reviews, December, 2013)

Table of contents (8 chapters)

  • Linear Systems Subject to Control Saturation—Problems and Modeling

    Tarbouriech, Sophie (et al.)

    Pages 3-48

  • Stability Analysis and Stabilization—Polytopic Representation Approach

    Tarbouriech, Sophie (et al.)

    Pages 51-121

  • Stability Analysis and Stabilization—Sector Nonlinearity Model Approach

    Tarbouriech, Sophie (et al.)

    Pages 123-183

  • Analysis via the Regions of Saturation Model

    Tarbouriech, Sophie (et al.)

    Pages 185-208

  • Synthesis via a Parameterized ARE Approach or a Parameterized LMI Approach

    Tarbouriech, Sophie (et al.)

    Pages 209-264

Buy this book

eBook $119.00
price for Mexico (gross)
  • ISBN 978-0-85729-941-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for Mexico
  • ISBN 978-0-85729-940-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for Mexico
  • ISBN 978-1-4471-5805-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Stability and Stabilization of Linear Systems with Saturating Actuators
Authors
Copyright
2011
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Limited
eBook ISBN
978-0-85729-941-3
DOI
10.1007/978-0-85729-941-3
Hardcover ISBN
978-0-85729-940-6
Softcover ISBN
978-1-4471-5805-9
Edition Number
1
Number of Pages
XXI, 430
Topics