State estimation and sliding-mode control of Markovian jump singular systems

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dc.contributor.authorWu, L.
dc.contributor.authorShi, P.
dc.contributor.authorGao, H.
dc.date.issued2010
dc.description.abstractThis paper is concerned with the state estimation and sliding-mode 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.
dc.description.statementofresponsibilityLigang Wu, Peng Shi and Huijun Gao
dc.identifier.citationIEEE Transactions on Automatic Control, 2010; 55(5):1213-1219
dc.identifier.doi10.1109/TAC.2010.2042234
dc.identifier.issn0018-9286
dc.identifier.issn1558-2523
dc.identifier.orcidShi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]
dc.identifier.urihttp://hdl.handle.net/2440/86264
dc.language.isoen
dc.publisherIEEE
dc.rights© 2010 IEEE
dc.source.urihttps://doi.org/10.1109/tac.2010.2042234
dc.subjectMarkovian jump
dc.subjectobserver
dc.subjectsingular systems
dc.subjectsliding-mode control
dc.subjectunmeasured states
dc.titleState estimation and sliding-mode control of Markovian jump singular systems
dc.typeJournal article
pubs.publication-statusPublished

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