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Research Papers

A Unified Approach to H Control of Singular Markovian Jump Systems

[+] Author and Article Information
Guoliang Wang

School of Information and Control Engineering,
Liaoning Shihua University,
Fushun 113001,
Liaoning, China;
School of Automation,
Nanjing University of Science and Technology,
Nanjing 210094,
Jiangsu, China
e-mail: glwang985@gmail.com

Hongyi Li

College of Information Science and Technology,
Bohai University,
Jinzhou 121013,
Liaoning, China

Contributed by the Dynamic Systems Division of ASME for publication in the Journal of Dynamic Systems, Measurement, and Control. Manuscript received December 19, 2012; final manuscript received May 9, 2013; published online August 23, 2013. Assoc. Editor: Shankar Coimbatore Subramanian.

J. Dyn. Sys., Meas., Control 135(6), 061015 (Aug 23, 2013) (7 pages) Paper No: DS-12-1430; doi: 10.1115/1.4024608 History: Received December 19, 2012; Revised May 09, 2013

This paper considers the H control problem for a class of singular Markovian jump systems (SMJSs), where the jumping signal is not always available. The main contribution of this paper introduces a new approach to a mode-independent (MI) H controller by exploiting the nonfragile method. Based on the given method, a unified control approach establishing a direct connection between mode-dependent (MD) and mode-independent controllers is presented, where both existence conditions are given in terms of linear matrix inequalities. Moreover, another three cases of transition probability rate matrix (TRPM) with elementwise bounded uncertainties, being partially unknown and to be designed are analyzed, respectively. Numerical examples are used to demonstrate the effectiveness of the proposed methods.

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Grahic Jump Location
Fig. 1

The simulations of closed-loop system with case 1 by MIC and MDCs

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