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Analysis and Synthesis for Discrete-Time Switched Systems

A Quasi-Time-Dependent Method

  • Book
  • © 2020

Overview

Authors:
  1. Zhongyang Fei

    1. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China

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  2. Shuang Shi

    1. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China

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    You can also search for this author in PubMed   Google Scholar

  3. Peng Shi

    1. School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia

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  • Focuses on the analysis and synthesis of discrete-time switched systems using the quasi-time-dependent (QTD) technique
  • Provides a framework for stability and disturbance attenuation performance analysis, finite-time performance analysis, controller and filter design, and reachable set estimation
  • Presents solutions to design problems related to linear matrix inequalities

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 244)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • Zhongyang Fei, Shuang Shi, Peng Shi
    Pages 1-18

  3. Analysis and Synthesis for Discrete-Time Switched Systems with Mode-dependent Average Dwell-Time

    1. Front Matter

      Pages 19-19
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    2. Stability Analysis

      • Zhongyang Fei, Shuang Shi, Peng Shi
      Pages 21-37

    3. Weighted \(\ell _{2}\)-Gain Analysis

      • Zhongyang Fei, Shuang Shi, Peng Shi
      Pages 39-47

    4. \(\mathscr {H}_{\infty }\) Control

      • Zhongyang Fei, Shuang Shi, Peng Shi
      Pages 49-65

    5. \(\mathscr {H}_{\infty }\) Filtering

      • Zhongyang Fei, Shuang Shi, Peng Shi
      Pages 67-74

    6. Asynchronous Control and Filtering

      • Zhongyang Fei, Shuang Shi, Peng Shi
      Pages 75-101

    7. Reachable Set Estimation

      • Zhongyang Fei, Shuang Shi, Peng Shi
      Pages 103-109

    8. Finite-Time Control and Filtering

      • Zhongyang Fei, Shuang Shi, Peng Shi
      Pages 111-131

  4. Analysis and Synthesis for Discrete-Time Switched Systems with Mode-dependent Persistent Dwell-Time

    1. Front Matter

      Pages 133-133
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    2. Stability and \(\ell _{2}\)-Gain Analysis

      • Zhongyang Fei, Shuang Shi, Peng Shi
      Pages 135-156

    3. \(\mathscr {H}_{\infty }\) Control

      • Zhongyang Fei, Shuang Shi, Peng Shi
      Pages 157-177

    4. \(\mathscr {H}_{\infty }\) Filtering

      • Zhongyang Fei, Shuang Shi, Peng Shi
      Pages 179-187

    5. Finite-Time Control and Filtering

      • Zhongyang Fei, Shuang Shi, Peng Shi
      Pages 189-208

  5. Back Matter

    Pages 209-210
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Keywords

About this book

This book presents recent theoretical advances in the analysis and synthesis of discrete-time switched systems under the time-dependent switching scheme, including stability and disturbance attenuation performance analysis, control and filtering, asynchronous switching, finite-time analysis and synthesis, and reachable set estimation. It discusses time-scheduled technology, which can achieve a better performance and reduce conservatism compared with the traditional time-independent approach. Serving as a reference resource for researchers and engineers in the system and control community, it is also useful for graduate and undergraduate students interested in switched systems and their applications.

Reviews

“This book is certainly a useful reference for researchers and students interested in the stability analysis and control synthesis for linear switched systems in presence of dwell-time constraints.” (Paolo Mason, Mathematical Reviews, January, 2021)

Authors and Affiliations

  • Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China

    Zhongyang Fei, Shuang Shi

  • School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia

    Peng Shi

About the authors

 

Bibliographic Information

  • Book Title: Analysis and Synthesis for Discrete-Time Switched Systems

  • Book Subtitle: A Quasi-Time-Dependent Method

  • Authors: Zhongyang Fei, Shuang Shi, Peng Shi

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-030-25812-2

  • Publisher: Springer Cham

  • eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-25811-5Published: 14 August 2019

  • Softcover ISBN: 978-3-030-25814-6Published: 15 August 2020

  • eBook ISBN: 978-3-030-25812-2Published: 02 August 2019

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: XIII, 210

  • Number of Illustrations: 1 b/w illustrations, 72 illustrations in colour

  • Topics: Control and Systems Theory, Systems Theory, Control

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