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Control and Filtering for Semi-Markovian Jump Systems

  • Introduces the research background and significance as well as recent research in Markovian jump systems and semi-Markovian jump systems
  • Focuses on the stability analysis and control design for some classes of semi-Markovian jump systems (S-MJS), as well as on the fault detection and filtering of S-MJS
  • Provides valuable reference material for researchers who wish to explore the area of S-MJS
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 81)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xviii
  2. Introduction

    • Fanbiao Li, Peng Shi, Ligang Wu
    Pages 1-27
  3. Stability and Control

    1. Front Matter

      Pages 29-29
    2. Stochastic Stability of Semi-Markovian Jump Systems

      • Fanbiao Li, Peng Shi, Ligang Wu
      Pages 31-45
    3. Constrained Regulation of Singular Semi-Markovian Jump Systems

      • Fanbiao Li, Peng Shi, Ligang Wu
      Pages 47-64
  4. Filtering and Fault Detection

    1. Front Matter

      Pages 101-101
    2. Passive Filtering for Delayed Neutral-Type Semi-Markovian Jump Systems

      • Fanbiao Li, Peng Shi, Ligang Wu
      Pages 103-131
    3. Event-Triggered Fault Detection for Semi-Markovian Jump Systems

      • Fanbiao Li, Peng Shi, Ligang Wu
      Pages 133-148
    4. Fuzzy Fault Detection Filtering for Semi-Markovian Jump Systems

      • Fanbiao Li, Peng Shi, Ligang Wu
      Pages 149-170
    5. Fault Detection for Underactuated Manipulators Modeled by MJS

      • Fanbiao Li, Peng Shi, Ligang Wu
      Pages 171-193
  5. Summary

    1. Front Matter

      Pages 195-195
    2. Conclusion and Further Work

      • Fanbiao Li, Peng Shi, Ligang Wu
      Pages 197-199

About this book

This book presents up-to-date research developments and novel methodologies on semi-Markovian jump systems (S-MJS). It presents solutions to a series of problems with new approaches for the control and filtering of S-MJS, including stability analysis, sliding mode control, dynamic output feedback control, robust filter design, and fault detection. A set of newly developed techniques such as piecewise analysis method, positively invariant set approach, event-triggered method, and cone complementary linearization approaches are presented. Control and Filtering for Semi-Markovian Jump Systems is a comprehensive reference for researcher and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing.

Reviews

“The book focuses on stability, control, filtering, and fault detection problems for some classes of S-MJS ... . The book is a good research monograph whose intended audience is graduate and postgraduate students as well as who are interested in both theoretical and practical aspects of S-MJS.” (Rosario Romera, Mathematical Reviews, June, 2017)



“This research monograph presents up-to-date research developments in the field of semi-Markov jump systems which, compared with the classical Markov-jump systems are characterized by a fixed matrix of transition probabilities and a matrix of sojourn time probability density functions. … The book is addressed to graduate and postgraduate students as well as researchers in the field of semi-Markovian jump systems.” (Doina Carp, zbMATH 1358.93002, 2017)

Authors and Affiliations

  • School of Information Science and Engine, Central South University School of Information Science and Engine, Changsha, China

    Fanbiao Li

  • College of Engineering and Science, Victoria University, College of Engineering and Science, Victoria University and School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, Australia , Melbourne, Australia

    Peng Shi

  • Space Control and Inertial Tech. Res. Ce, Harbin Institute of Technology Space Control and Inertial Tech. Res. Ce, Harbin, China

    Ligang Wu

Bibliographic Information

  • Book Title: Control and Filtering for Semi-Markovian Jump Systems

  • Authors: Fanbiao Li, Peng Shi, Ligang Wu

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-319-47199-0

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-47198-3Published: 15 November 2016

  • Softcover ISBN: 978-3-319-83677-5Published: 29 June 2018

  • eBook ISBN: 978-3-319-47199-0Published: 04 November 2016

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: XVIII, 199

  • Number of Illustrations: 5 b/w illustrations, 34 illustrations in colour

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

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
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