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  • © 2012

Internal and External Stabilization of Linear Systems with Constraints

Birkhäuser
  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Systems & Control: Foundations & Applications (SCFA)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xvi
  2. Introduction

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 1-4
  3. Preliminaries

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 5-50
  4. A special coordinate basis (SCB) of linear multivariable systems

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 51-109
  5. Constraints on inputs: actuator saturation

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 111-337
  6. Robust semi-global internal stabilization

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 339-380
  7. Control magnitude and rate saturation

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 381-399
  8. State and input constraints: Semi-global and global stabilization in admissible set

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 401-410
  9. Solvability conditions and design for semi-global and global stabilization in the admissible set

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 411-495
  10. Semi-global stabilization in the recoverable region: properties and computation of recoverable regions

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 497-538
  11. Sandwich systems: state feedback

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 539-605
  12. Simultaneous external and internal stabilization

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 607-616
  13. Simultaneous external and internal stabilization: input-additive case

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 617-696
  14. Simultaneous external and internal stabilization: non-input-additive case

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 697-722
  15. The double integrator with linear control laws subject to saturation

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 723-756
  16. External and internal stabilization under the presence of stochastic disturbances

    • Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
    Pages 801-820
  17. Back Matter

    Pages 821-837

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)

Authors and Affiliations

  • School of Electrical Engineering &, Computer Science, Washington State University, Pullman, USA

    Ali Saberi

  • Faculty EWI, Deptartment of Applied Mathematics, University of Twente, Enschede, Netherlands

    Anton A. Stoorvogel

  • Electrical & Computer Engineering Dept., Rutgers University, Piscataway, USA

    Peddapullaiah Sannuti

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 169.99
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