Sliding Mode Control for Stochastic Jump Systems with Time-Delay

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Xia, Yuanqing, Shi, Peng, 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.

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.

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Item type	Book Section
URI	https://vuir.vu.edu.au/id/eprint/6419
DOI	10.1109/WCICA.2006.1712332
Official URL	http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arn...
ISBN	1424403324
Subjects	Historical > FOR Classification > 0906 Electrical and Electronic Engineering Historical > FOR Classification > 0103 Numerical and Computational Mathematics Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Keywords	ResPubID19059, Linear matrix inequality, Markovian jump parameter, time-delay, sliding mode control, stochastic stability
Citations in Scopus	11 - View on Scopus
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