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• W2127161747 abstract "This 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." @default.
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• W2127161747 date "2010-05-01" @default.
• W2127161747 modified "2023-10-17" @default.
• W2127161747 title "State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems" @default.
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• W2127161747 doi "https://doi.org/10.1109/tac.2010.2042234" @default.
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