State estimation and Sliding-Mode Control of Markovian Jump Singular Systems

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Wu, Ligang, Shi, Peng and Gao, Huijun (2010) State estimation and Sliding-Mode Control of Markovian Jump Singular Systems. IEEE Transactions on Automatic Control, 55 (5). pp. 1213-1219. ISSN 0018-9286

Abstract

This paper is concerned with the state estimation and slidingmode control problems for continuous-time Markovian jump singular systems with unmeasured states. Firstly, a new necessary and sufficient condition is proposed in terms of strict linear matrix inequality (LMI), which guarantees the stochastic admissibility of the unforced Markovian jump singular system. Then, the sliding-mode control problem is considered by designing an integral sliding surface function. An observer is designed to estimate the system states, and a sliding-mode control scheme is synthesized for the reaching motion based on the state estimates. It is shown that the sliding mode in the estimation space can be attained in a finite time. Some conditions for the stochastic admissibility of the overall closed-loop system are derived. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theory.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/7455
DOI	10.1109/TAC.2010.2042234
Official URL	http://dx.doi.org/10.1109/TAC.2010.2042234
Subjects	Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > FOR Classification > 0802 Computation Theory and Mathematics Historical > SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences
Keywords	ResPubID19953, Markovian jump, observer, singular systems, sliding-mode control, unmeasured states
Citations in Scopus	603 - View on Scopus
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