Skip to main content
SpringerLink
Log in
Birkhäuser

Hybrid Dynamical Systems

Controller and Sensor Switching Problems

  • Book
  • © 2002

Overview

Authors:
  1. Andrey V. Savkin

    1. School of Electrical Engineering and Telecommunications, University of New South Wales, Sydney, Australia

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Robin J. Evans

    1. Department of Electrical and Electronic Engineering, University of Melbourne, Melbourne, Australia

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Control Engineering (CONTRENGIN)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (9 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Introduction

    • Andrey V. Savkin, Robin J. Evans
    Pages 1-9

  3. Quadratic State Feedback Stabilizability via Controller Switching

    • Andrey V. Savkin, Robin J. Evans
    Pages 11-31

  4. Robust State Feedback Stabilizability with a Quadratic Storage Function and Controller Switching

    • Andrey V. Savkin, Robin J. Evans
    Pages 33-54

  5. H ∞ Control with Synchronous Controller Switching

    • Andrey V. Savkin, Robin J. Evans
    Pages 55-73

  6. Absolute Stabilizability via Synchronous Controller Switching

    • Andrey V. Savkin, Robin J. Evans
    Pages 75-95

  7. Robust Output Feedback Controllability via Synchronous Controller Switching

    • Andrey V. Savkin, Robin J. Evans
    Pages 97-105

  8. Optimal Robust State Estimation via Sensor Switching

    • Andrey V. Savkin, Robin J. Evans
    Pages 107-120

  9. Almost Optimal Linear Quadratic Control Using Stable Switched Controllers

    • Andrey V. Savkin, Robin J. Evans
    Pages 121-128

  10. Simultaneous Strong Stabilization of Linear Time-Varying Systems Using Switched Controllers

    • Andrey V. Savkin, Robin J. Evans
    Pages 129-136

  11. Back Matter

    Pages 137-153
    Download chapter PDF
Back to top

Keywords

About this book

This book is primarily a research monograph that presents in a unified man­ ner some recent research on a class of hybrid dynamical systems (HDS). The book is intended both for researchers and advanced postgraduate stu­ dents working in the areas of control engineering, theoretical computer science, or applied mathematics and with an interest in the emerging field of hybrid dynamical systems. The book assumes competence in the basic mathematical techniques of modern control theory. The material presented in this book derives from a period of fruitful research collaboration between the authors that began in 1994 and is still ongoing. Some of the material contained herein has appeared as isolated results in journal papers and conference proceedings. This work presents this material in an integrated and coherent manner and also presents many new results. Much of the material arose from joint work with students and colleagues, and the authors wish to acknowledge the major contributions made by Ian Petersen, Efstratios Skafidas, Valery Ugrinovskii, David Cook, Iven Mareels, and Bill Moran. There is currently no precise definition of a hybrid dynamical system; however, in broad terms it is a dynamical system that involves a mixture of discrete-valued and continuous-valued variables. Since the early 1990s, a bewildering array of results have appeared under the umbrella of HDS, ranging from the analysis of elementary on-off control systems to sophis­ ticated mathematical logic-based descriptions of large real-time software systems.

Reviews

"The book is a self-contained text assuming only a basic mathematical knowledge of modern control theory. It is an excellent up-to-date authoritative reference covering original results with complete mathematical proofs and illustrative examples. The monograph is intended both for researchers and advanced postgraduate students working in the areas of control engineering, theoretical computer science, and applied mathematics interested in the emerging field of hybrid dynamic systems." —Zentralblatt Math

Authors and Affiliations

  • School of Electrical Engineering and Telecommunications, University of New South Wales, Sydney, Australia

    Andrey V. Savkin

  • Department of Electrical and Electronic Engineering, University of Melbourne, Melbourne, Australia

    Robin J. Evans

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation