Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering

  • Lixian Zhang
  • Yanzheng Zhu
  • Peng Shi
  • Qiugang Lu

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 53)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu
    Pages 1-26
  3. Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu
    Pages 27-58
  4. Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu
    Pages 59-85
  5. Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu
    Pages 87-125
  6. Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu
    Pages 127-161
  7. Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu
    Pages 163-204
  8. Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu
    Pages 205-255
  9. Back Matter
    Pages 257-258

About this book

Introduction

This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals. Chapter 1, as an introduction of the book, gives the backgrounds and motivations of switched systems, the definitions of the typical time-dependent switching signals, the differences and links to other types of systems with hybrid characteristics and a literature review mainly on the control and filtering for the underlying systems. By summarizing the multiple Lyapunov-like functions (MLFs) approach in which different requirements on comparisons of Lyapunov function values at switching instants, a series of  methodologies are developed for the issues on stability and stabilization, and l2-gain performance or tube-based robustness for l disturbance, respectively, in Chapters 2 and 3. Chapters 4 and 5 are devoted to the control and filtering problems for the time-dependent switched linear systems with either polytopic uncertainties or measurable time-varying parameters in different sense of disturbances. The asynchronous switching problem, where there is time lag between the switching of the currently activated system mode and the controller/filter to be designed, is investigated in Chapter 6. The systems with various time delays under typical time-dependent switching signals are addressed in Chapter 7.

Keywords

Asynchronous Control Filtering Problems Switched Systems Time-dependent Switching Time-Delay

Authors and affiliations

  • Lixian Zhang
    • 1
  • Yanzheng Zhu
    • 2
  • Peng Shi
    • 3
  • Qiugang Lu
    • 4
  1. 1.School of AstronauticsHarbin Institute of TechnologyHarbinChina
  2. 2.Harbin Institute of TechnologySchool of AstronauticsHarbinChina
  3. 3.School of Electrical and Electronic EnggThe University of AdelaideAdelaideAustralia
  4. 4.Dept of Chemical and Biological EngiThe University of British ColumbiaVancouverCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-28850-5
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-28849-9
  • Online ISBN 978-3-319-28850-5
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • About this book
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