control for conic non-linear jump systems with partially unknown transition probabilities

Yingqi Zhang, Yan Shi, Xiaowu Mu and Caixia Liu

International Journal of Systems Science, 2017, vol. 48, issue 14, 2976-2984

Abstract: In this paper, the robust H∞ control problem is investigated for conic non-linear stochastic jump systems with partially unknown transition probabilities and uncertain exogenous disturbance. By resorting to free-connection weighting matrix approach and matrix decomposition technique, two less conservative criteria are derived such that the nominal or uncertain Markovian jump non-linear systems are stochastically stable and have an H∞ attention level. In addition, stochastic H∞ control analysis and design are tackled for the class of stochastic jump systems by applying fixed weighting matrix method. Two numerical examples are presented to verify the effectiveness of theoretical results.

Date: 2017
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DOI: 10.1080/00207721.2017.1365971

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