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Filtering and Control of Stochastic Jump Hybrid Systems

  • Xiuming Yao
  • Ligang Wu
  • Wei Xing Zheng

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

Table of contents

  1. Front Matter
    Pages i-xix
  2. Xiuming Yao, Ligang Wu, Wei Xing Zheng
    Pages 1-9
  3. Robust Filtering

    1. Front Matter
      Pages 11-11
    2. Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 13-28
    3. Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 29-43
    4. Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 45-65
    5. Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 67-88
    6. Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 89-103
  4. Robust Control

    1. Front Matter
      Pages 105-105
    2. Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 107-122
    3. Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 123-137
    4. Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 139-151
    5. Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 153-170
    6. Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 187-199
    7. Xiuming Yao, Ligang Wu, Wei Xing Zheng
      Pages 201-203
  5. Back Matter
    Pages 205-212

About this book

Introduction

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.

Keywords

Markovian Jump Systems Stochastic Systems 2-D Systems Singular Systems Repeated Scalar Nonlinear Systems Robust Control Robust Filtering Anti-disturbance Control Limited Communication

Authors and affiliations

  • Xiuming Yao
    • 1
  • Ligang Wu
    • 2
  • Wei Xing Zheng
    • 3
  1. 1.School of Electronic and Information EngBeijing Jiaotong UniversityBeijingChina
  2. 2.Res. Inst. of Intelligent Cont. & Systs.Harbin Institute of TechnologyHarbinChina
  3. 3.Sch. of Computing, Engg. and MathematicsWestern Sydney UniversitySydneyAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-31915-5
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-31914-8
  • Online ISBN 978-3-319-31915-5
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site