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Robust H-infinity control for a class of Discrete-time Markovian Jump Systems with Time-varying delays based on Delta operator

Qiu, Jiqing and Yang, Hongjiu and Shi, Peng and Xia, Yuanqing (2008) Robust H-infinity control for a class of Discrete-time Markovian Jump Systems with Time-varying delays based on Delta operator. Circuits Systems and Signal Processing, 27 (5). pp. 627-643. ISSN 0278-081X

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Abstract

In this paper, the problem of robust H ∞ state feedback control using a delta operator approach for a class of linear fractional uncertain jump systems with time-varying delays is investigated. Based on the Lyapunov–Krasovskii functional in the delta domain, a new delay-dependent H ∞ state feedback controller which requires both robust stability and a prescribed H ∞ performance is presented in terms of linear matrix inequalities. The sampling period T appears as an explicit parameter; therefore, it is easy to observe and analyze the effect of the results with different sampling periods. Furthermore, the proposed method can unify some previous related continuous and discrete systems into the framework of delta operator systems. Numerical examples are presented to illustrate the effectiveness of the developed techniques

Item Type: Article
Uncontrolled Keywords: ResPubID16145, Markovian jump parameters, linear fractional uncertainties, time-varying delays, discrete-time systems, delta operators, H-infinity control, linear matrix inequalities
Subjects: FOR Classification > 0906 Electrical and Electronic Engineering
Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0199 Other Mathematical Sciences Information Systems
Depositing User: VUIR
Date Deposited: 26 Apr 2012 06:35
Last Modified: 14 Jan 2015 23:20
URI: http://vuir.vu.edu.au/id/eprint/3901
DOI: 10.1007/s00034-008-9046-7
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Citations in Scopus: 13 - View on Scopus

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