Systems & Control: Foundations & Applications

Internal and External Stabilization of Linear Systems with Constraints

Authors: Saberi, Ali, Stoorvogel, Anton A., Sannuti, Peddapullaiah

  • Fills a gap in literature, by unifying two decades of research in the field of linear systems with constraints
  • The first book to establish a comprehensive foundation for a systematic analysis and design of linear systems with general state and input constraints
  • Introduces new notions of external stability
  • For a broad audience of practicing engineers, graduate students, and researchers in control system theory and design
  • May be used as a textbook for an advanced graduate course or seminar in nonlinear control systems theory and design in applied mathematics or engineering departments
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Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-0-8176-4787-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-0-8176-4786-5
  • 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
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About this book

Most nonlinear systems can be modeled as linear systems with constrains on their inputs and selected outputs. Unifying two decades of research, this book is the first to establish a comprehensive foundation for a systematic analysis and design of such systems The authors address the following issues in the work:

* Internal or Lyapunov stability, external L_p stability, and simulatneous internal and external stability

* Control system feedback design laws for different types of stability

* New notions of external stability

* Additional constraints on controller architecture under decentralized internal and external stabilization

* Satisfactory performance, which also guarantees stability


Internal and External Stabilization of Linear Systems with Constraints is an excellent reference for practicing engineers, graduate students, and researchers in control systems theory and design. The book may also serve as an advanced graduate text for a course or a seminar in nonlinear control systems theory and design in applied mathematics or engineering departments. Minimal prerequisites include a first graduate course in state-space methods as well as a first course in control systems design.

 

Reviews

From the reviews:

“In this book, the problem of achieving simultaneous internal and external stabilization of linear systems subject to constraints in both semi-global and global frameworks is investigated. … the book is well organized and written. The theoretical and application value is high. It will serve as a good reference for academics, scientists, engineers and postgraduates.” (Peng Shi, Mathematical Reviews, April, 2013)

Table of contents (17 chapters)

  • Introduction

    Saberi, Ali (et al.)

    Pages 1-4

  • Preliminaries

    Saberi, Ali (et al.)

    Pages 5-50

  • A special coordinate basis (SCB) of linear multivariable systems

    Saberi, Ali (et al.)

    Pages 51-109

  • Constraints on inputs: actuator saturation

    Saberi, Ali (et al.)

    Pages 111-337

  • Robust semi-global internal stabilization

    Saberi, Ali (et al.)

    Pages 339-380

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-0-8176-4787-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-0-8176-4786-5
  • 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
Internal and External Stabilization of Linear Systems with Constraints
Authors
Series Title
Systems & Control: Foundations & Applications
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-4787-2
DOI
10.1007/978-0-8176-4787-2
Hardcover ISBN
978-0-8176-4786-5
Series ISSN
2324-9749
Edition Number
1
Number of Pages
XVI, 837
Number of Illustrations and Tables
25 b/w illustrations, 30 illustrations in colour
Topics