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Non-fragile sampled data H filtering of general continuous Markov jump linear systems

Mouquan ShenGuangming ZhangYuhao YuanLei Mei — 2014

Kybernetika

This paper is concerned with the non-fragile sampled data H filtering problem for continuous Markov jump linear system with partly known transition probabilities (TPs). The filter gain is assumed to have additive variations and TPs are assumed to be known, uncertain with known bounds and completely unknown. The aim is to design a non-fragile H filter to ensure both the robust stochastic stability and a prescribed level of H performance for the filtering error dynamics. Sufficient conditions for...

H sliding mode control for Markov jump systems with interval time-varying delays and general transition probabilities

Lingchun LiGuangming ZhangMeiying OuYujie Wang — 2019

Kybernetika

This paper is devoted to design H sliding mode controller for continuous-time Markov jump systems with interval time-varying delays and general transition probabilities. An integral sliding surface is constructed and its reachability is guaranteed via a sliding mode control law. Meanwhile, a linearisation strategy is applied to treat the nonlinearity induced by general transition probabilities. Using a separation method based on Finsler lemma to eliminate the coupling among Lyapunov variables and...

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