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Sliding Mode Control for Stochastic Jump Systems with Time-Delay

Xia, Yuanqing and Shi, Peng and Liu, G. P and Rees, D (2006) Sliding Mode Control for Stochastic Jump Systems with Time-Delay. In: Proceedings of the 6th World Congress on Intelligent Control and Automation. IEEE, New York, N.Y., pp. 354-358.

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Abstract

The problems of stochastic stability and sliding mode control for a class of linear time-delay systems with stochastic jumps are considered in this paper. The jumping parameters appeared in the system matrices are modelled as a continuous-time, discrete-state homogeneous Markov process with right continuous trajectories taking values in a finite set. Sufficient conditions are proposed to guarantee the stochastic stability of the underlying system based on linear matrix inequalities (LMI) approach. Then, a reaching motion controller is designed such that the resulting closed-loop system can be driven onto the desired sliding surface in finite time. It has been shown that the sliding mode control problem for the Markovian jump systems is solvable if a set of coupled linear matrix inequalities (LMIs) have solutions.

Item Type: Book Section
ISBN: 1424403324
Uncontrolled Keywords: ResPubID19059, Linear matrix inequality, Markovian jump parameter, time-delay, sliding mode control, stochastic stability
Subjects: FOR Classification > 0906 Electrical and Electronic Engineering
FOR Classification > 0103 Numerical and Computational Mathematics
Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Depositing User: VUIR
Date Deposited: 18 Jan 2014 08:42
Last Modified: 11 Dec 2014 05:42
URI: http://vuir.vu.edu.au/id/eprint/6419
DOI: 10.1109/WCICA.2006.1712332
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Citations in Scopus: 11 - View on Scopus

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