Output feedback stabilization for the stochastically Markov jump systems

被引：0

作者：

Sun, Minhui ^{[1
]}

Xu, ShengYuan ^{[1
]}

Zou, Yun ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Dept Automat, Nanjing 210094, Peoples R China

来源：

Proceedings of the 24th Chinese Control Conference, Vols 1 and 2 | 2005年

关键词：

markov process; robust stability; stochastic systems; output feedback;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the problems of static output feedback stabilization for uncertain stochastic markovian jumping systems. The purpose of this paper is to design a static output feedback controller such that the closed-loop system is mean-square stable for all admissible uncertainties. Sufficient condition is given to guarantee the solvability of the problem; and in addition, a possible numerical algorithm is given based on the substitutive LMI method.

引用

页码：744 / 746

页数：3

共 10 条

[1] On the JLQ problem with uncertainty
Bernard, F
Dufour, F
Bertrand, P
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (06) : 869 - 872
[2] Exponential stabilizability of stochastic systems with Markovian jumping parameters
Boukas, EK
Yang, H
[J]. AUTOMATICA, 1999, 35 (08) : 1437 - 1441
[3] Delay-dependent output feedback stabilisation of Markovian jump system with time-delay
Chen, WH
Guan, ZH
Lu, X
[J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (05): : 561 - 566
[4] STOCHASTIC STABILITY PROPERTIES OF JUMP LINEAR-SYSTEMS
FENG, XB
LOPARO, KA
JI, YD
CHIZECK, HJ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (01) : 38 - 53
[5] Optimization of static output feedback using substitutive LMI formulation
Fujimori, A
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (06) : 995 - 999
[6] CONTROLLABILITY, STABILIZABILITY, AND CONTINUOUS-TIME MARKOVIAN JUMP LINEAR QUADRATIC CONTROL
JI, YD
CHIZECK, HJ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (07) : 777 - 788
[7] Kolmanovskii V., 1992, APPL THEORY FUNCTION
[8] Stability of stochastic differential equations with Markovian switching
Mao, XR
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1999, 79 (01) : 45 - 67
[9] MARITON M, 1990, JUMP LINEAR CONTROL
[10] Robust H∞ control for uncertain stochastic systems with state delay
Xu, SY
Chen, TW
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (12) : 2089 - 2094

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