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Analysis and Design of Singular Markovian Jump Systems

  • Guoliang Wang
  • Qingling Zhang
  • Xinggang Yan

Table of contents

  1. Front Matter
    Pages i-ix
  2. Guoliang Wang, Qingling Zhang, Xinngang Yan
    Pages 1-15
  3. Guoliang Wang, Qingling Zhang, Xinngang Yan
    Pages 17-52
  4. Guoliang Wang, Qingling Zhang, Xinngang Yan
    Pages 53-109
  5. Guoliang Wang, Qingling Zhang, Xinngang Yan
    Pages 111-159
  6. Guoliang Wang, Qingling Zhang, Xinngang Yan
    Pages 161-178
  7. Guoliang Wang, Qingling Zhang, Xinngang Yan
    Pages 179-227
  8. Guoliang Wang, Qingling Zhang, Xinngang Yan
    Pages 229-249
  9. Guoliang Wang, Qingling Zhang, Xinngang Yan
    Pages 251-281
  10. Back Matter
    Pages 283-284

About this book

Introduction

This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H∞ control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat’s Lemma, among other techniques.

Features of the book include:

  • study of the stability problem for SMJSs with general transition rate matrices (TRMs);
  • stabilization for SMJSs  by TRM design, noise control, proportional-derivative and partially mode-dependent control, in terms of LMIs with and without equation constraints;
  • mode-dependent and mode-independent H∞ control solutions with development of a type of disordered controller;
  • observer-based controllers of SMJSs in which both the designed observer and controller are either mode-dependent or mode-independent;
  • consideration of robust H∞ filtering in terms of uncertain TRM or filter parameters leading to a method for totally mode-independent filtering
  • development of LMI-based conditions for a class of adaptive state feedback controllers with almost-certainly-bounded estimated error and almost-certainly-asymptotically-stable corresponding closed-loop system states
applications of Markov process on singular systems with norm bounded uncertainties and time-varying delays.

Analysis and Design of Singular Markovian Jump Systems contains valuable reference material for academic researchers wishing to explore the area. The contents are also suitable for a one-semester graduate course.

 

Keywords

Adaptive Control H-infinity Filtering LMIs Linear Matrix Inequalities Singular Markovian Jump Systems Singularly Perturbed Systems Time Delays

Authors and affiliations

  • Guoliang Wang
    • 1
  • Qingling Zhang
    • 2
  • Xinggang Yan
    • 3
  1. 1.Liaoning Shihua UniversityFushunChina
  2. 2.College of Sciences Institute of Systems ScienceNortheastern UniversityShenyangChina
  3. 3.School of Engineering and Digital ArtsThe University of KentCanterburyUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-08723-8
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-08722-1
  • Online ISBN 978-3-319-08723-8
  • Buy this book on publisher's site
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