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• W3122726793 abstract "The article investigates the problem of state observation for discrete-time Markov jump piecewise-affine (PWA) systems, which cover both Markov jump systems and traditional PWA systems as two special classes. A new method for determining the admissible region-switching paths between adjacent time instants is proposed for both the plant state and the estimator state, so that both the computation cost and the conservatism of the theoretical results are reduced. To analyze the mean-square stability of the observation error system, a novel piecewise Lyapunov function is constructed, which depends on the current mode and the region indices of both the system and observer states. As the partitions of the state space are different for different modes, the region indices are dependent on the system mode. Then, mode-dependent PWA observers are designed by means of <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>S</i> -procedure and ellipsoidal outer approximation such that the observation error system is mean-square stable. The proposed observation strategy is demonstrated via an illustrative example." @default.
• W3122726793 created "2021-02-01" @default.
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• W3122726793 date "2021-09-01" @default.
• W3122726793 modified "2023-10-18" @default.
• W3122726793 title "Observation for Markov Jump Piecewise-Affine Systems With Admissible Region-Switching Paths" @default.
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• W3122726793 doi "https://doi.org/10.1109/tac.2020.3030845" @default.
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