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Filtering and Control of Stochastic Jump Hybrid Systems

  • Book
  • © 2016

Overview

Authors:
  1. Xiuming Yao

    1. School of Electronic and Information Eng, Beijing Jiaotong University, Beijing, China

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  2. Ligang Wu

    1. Res. Inst. of Intelligent Cont. & Systs., Harbin Institute of Technology, Harbin, China

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  3. Wei Xing Zheng

    1. Sch. of Computing, Engg. and Mathematics, Western Sydney University, Sydney, Australia

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  • Presents up-to-date research developments and novel methodologies on stochastic jump hybrid systems
  • Establishes a unified framework for filtering and control problems for stochastic jump hybrid systems with imperfect information
  • Presents recent advances in stochastic jump hybrid systems,
  • and application potentials in complex networks
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 58)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xix
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  2. Introduction

    • Xiuming Yao, Ligang Wu, Wei Xing Zheng
    Pages 1-9

  3. Robust Filtering

    1. Front Matter

      Pages 11-11
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    2. Robust Filtering of Markovian Jump Stochastic Systems

      • Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 13-28

    3. Quantized Filtering of Markovian Jump LPV Systems

      • Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 29-43

    4. Fault Detection Filter Design for Markovian Jump Singular Systems

      • Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 45-65

    5. Filtering of Markovian Jump 2-D Systems

      • Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 67-88

    6. Filtering of Markovian Jump Repeated Scalar Nonlinear Systems

      • Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 89-103

  4. Robust Control

    1. Front Matter

      Pages 105-105
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    2. Composite Anti-disturbance Control of Markovian Jump Systems

      • Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 107-122

    3. Disturbance Attenuation and Rejection for Discrete-Time Markovian Jump Systems

      • Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 123-137

    4. Passivity Analysis and Passification of Markovian Jump Systems

      • Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 139-151

    5. Output Feedback Control of Markovian Jump Systems with Multiple Disturbances

      • Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 153-170

    6. Robust \(\mathcal {H}_{\infty } \) Control of Nonlinear Markovian Jump Singular Systems

      • Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 171-185

    7. Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems

      • Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 187-199

    8. Conclusion and Further Work

      • Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 201-203

  5. Back Matter

    Pages 205-212
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Keywords

About this book

This book presents recent research work on stochastic jump hybrid systems. Specifically, the considered stochastic jump hybrid systems include Markovian jump Ito stochastic systems, Markovian jump linear-parameter-varying (LPV) systems, Markovian jump singular systems, Markovian jump two-dimensional (2-D) systems, and Markovian jump repeated scalar nonlinear systems. Some sufficient conditions are first established respectively for the stability and performances of those kinds of stochastic jump hybrid systems in terms of solution of linear matrix inequalities (LMIs). Based on the derived analysis conditions, the filtering and control problems are addressed.

The book presents up-to-date research developments and novel methodologies on stochastic jump hybrid systems. The contents can be divided into two parts: the first part is focused on robust filter design problem, while the second part is put the emphasis on robust control problem. These methodologies provide a framework for stability and performance analysis, robust controller design, and robust filter design for the considered systems. Solutions to the design problems are presented in terms of LMIs.

The book is a timely reflection of the developing area of filtering and control theories for Markovian jump hybrid systems with various kinds of imperfect information. It is a collection of a series of latest research results and therefore serves as a useful textbook for senior and/or graduate students who are interested in knowing 1) the state-of-the-art of linear filtering and control areas, and 2) recent advances in stochastic jump hybrid systems. The readers will also benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing.

Authors and Affiliations

  • School of Electronic and Information Eng, Beijing Jiaotong University, Beijing, China

    Xiuming Yao

  • Res. Inst. of Intelligent Cont. & Systs., Harbin Institute of Technology, Harbin, China

    Ligang Wu

  • Sch. of Computing, Engg. and Mathematics, Western Sydney University, Sydney, Australia

    Wei Xing Zheng

Bibliographic Information

  • Book Title: Filtering and Control of Stochastic Jump Hybrid Systems

  • Authors: Xiuming Yao, Ligang Wu, Wei Xing Zheng

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-319-31915-5

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-31914-8Published: 29 April 2016

  • Softcover ISBN: 978-3-319-81152-9Published: 22 April 2018

  • eBook ISBN: 978-3-319-31915-5Published: 20 April 2016

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: XIX, 212

  • Number of Illustrations: 57 illustrations in colour

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

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