A Survey on Markovian Jump Systems: Modeling and Design

被引:184
作者
Shi, Peng [1 ,2 ]
Li, Fanbiao [3 ]
机构
[1] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia
[2] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia
[3] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
基金
澳大利亚研究理事会;
关键词
Control and filtering; Markovian jump system; semi-Markovian jump system; stability; stabilization; H-INFINITY CONTROL; NETWORKED CONTROL-SYSTEMS; STOCHASTIC DIFFERENTIAL-EQUATIONS; DISCRETE-TIME-SYSTEMS; LINEAR-SYSTEMS; FAULT-DETECTION; STABILITY ANALYSIS; FEEDBACK-CONTROL; ROBUST STABILIZATION; H(INFINITY) CONTROL;
D O I
10.1007/s12555-014-0576-4
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Markovian jump systems are a special class of hybrid and stochastic systems which can be used to describe many real world applications, such as manufacturing systems, power systems, chemical systems, economic systems, communication and control, etc. In this paper, a survey on recent developments of modeling, analysis and design of Markovian jump systems is presented. First, stability issues on Markovian jump systems are addressed. Then a variety of control and filter design methods are systematically recalled. Furthermore, the new trends of Markovian jump systems with uncertain transition rates as well as semi-Markovian jump systems are also discussed.
引用
收藏
页码:1 / 16
页数:16
相关论文
共 125 条
[1]   A Decentralized Markovian Jump H∞ Control Routing Strategy for Mobile Multi-Agent Networked Systems [J].
Abdollahi, Farzaneh ;
Khorasani, K. .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2011, 19 (02) :269-283
[2]   Stochastic stabilization of a class of nonhomogeneous Markovian jump linear systems [J].
Aberkane, S. .
SYSTEMS & CONTROL LETTERS, 2011, 60 (03) :156-160
[3]   OPTIMAL CONTROL OF PARTIALLY OBSERVABLE MARKOVIAN SYSTEMS [J].
AOKI, M .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1965, 280 (05) :367-&
[4]   Delay-range-dependent robust stabilisation and H∞ control for nonlinear uncertain stochastic fuzzy systems with mode-dependent time delays and Markovian jump parameters [J].
Balasubramaniam, P. ;
Senthilkumar, T. .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2013, 44 (01) :187-200
[5]   Stability of a random diffusion with linear drift [J].
Basak, GK ;
Bisi, A ;
Ghosh, MK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (02) :604-622
[6]   FEEDBACK-CONTROL OF A CLASS OF LINEAR DISCRETE SYSTEMS WITH JUMP PARAMETERS AND QUADRATIC COST CRITERIA [J].
BLAIR, WP ;
SWORDER, DD .
INTERNATIONAL JOURNAL OF CONTROL, 1975, 21 (05) :833-841
[7]  
Bo HY, 2014, INT J INNOV COMPUT I, V10, P1897
[8]   H∞ control of discrete-time Markov jump systems with bounded transition probabilities [J].
Boukas, E. K. .
OPTIMAL CONTROL APPLICATIONS & METHODS, 2009, 30 (05) :477-494
[9]  
Boukas E.-K., 2007, Stochastic switching systems: analysis and design
[10]   Exponential stabilizability of stochastic systems with Markovian jumping parameters [J].
Boukas, EK ;
Yang, H .
AUTOMATICA, 1999, 35 (08) :1437-1441