Overview
- 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)
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Front Matter
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Back Matter
Keywords
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.
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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
Bibliographic Information
Book Title: Internal and External Stabilization of Linear Systems with Constraints
Authors: Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti
Series Title: Systems & Control: Foundations & Applications
DOI: https://doi.org/10.1007/978-0-8176-4787-2
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2012
Hardcover ISBN: 978-0-8176-4786-5Published: 22 June 2012
eBook ISBN: 978-0-8176-4787-2Published: 21 June 2012
Series ISSN: 2324-9749
Series E-ISSN: 2324-9757
Edition Number: 1
Number of Pages: XVI, 837
Number of Illustrations: 25 b/w illustrations, 30 illustrations in colour
Topics: Systems Theory, Control, Control, Robotics, Mechatronics, Engineering Design, Vibration, Dynamical Systems, Control, Applications of Mathematics