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Research Papers

Observer-Based H Control on Nonhomogeneous Discrete-Time Markov Jump Systems

[+] Author and Article Information
Yanyan Yin

Key Laboratory of Advanced Process,
Control for Light Industry,
(Ministry of Education),
Institute of Automation,
Jiangnan University,
Wuxi, 214122, China;
Department of Mathematics and Statistics,
Curtin University,
Perth, 6102, Western Australia
e-mail: yinyanyan_2006@126.com

Peng Shi

School of Engineering and Science,
Victoria University,
Melbourne, Vic 8001, Australia;
School of Electrical and Electronic Engineering,
The University of Adelaide,
Adelaide, SA 5005, Australia
e-mail: peng.shi@vu.edu.au

Fei Liu

Key Laboratory of Advanced,
Process Control for Light Industry,
(Ministry of Education),
Institute of Automation,
Jiangnan University,
Wuxi, 214122, China
e-mail: fliu@jiangnan.edu.cn

Kok Lay Teo

Department of Mathematics and Statistics,
Curtin University,
Perth, 6102, Western Australia
e-mail: k.l.teo@curtin.edu.au

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received August 14, 2012; final manuscript received March 10, 2013; published online May 22, 2013. Assoc. Editor: Won-jong Kim.

J. Dyn. Sys., Meas., Control 135(4), 041016 (May 22, 2013) (8 pages) Paper No: DS-12-1261; doi: 10.1115/1.4023997 History: Received August 14, 2012; Revised March 10, 2013

This paper concerns the problem of observer-based H controller design for a class of discrete-time Markov jump systems with nonhomogeneous jump parameters. A nonhomogeneous jump transition probability matrix is described by a polytope set, in which values of vertices are given. By Lyapunov function approach, under the designed observer-based controller, a sufficient condition is presented to ensure the resulting closed-loop system is stochastically stable and a prescribed H performance is achieved. Finally, a simulation example is given to show the effectiveness of the developed techniques.

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Grahic Jump Location
Fig. 1

Jumping modes of system and trajectories of system states

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