Delay‐Dependent Robust L2 − L∞ Filtering for a Class of Fuzzy Stochastic Systems

Ze Li and Xinhao Yang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper is concerned with the L2 − L∞ filtering problem for a kind of Takagi‐Sugeno (T‐S) fuzzy stochastic system with time‐varying delay and parameter uncertainties. Parameter uncertainties in the system are assumed to satisfy global Lipschitz conditions. And the attention of this paper is focused on the stochastically mean‐square stability of the filtering error system, and the L2 − L∞ performance level of the output error with the disturbance input. The method designed for the delay‐dependent filter is developed based on linear matrix inequalities. Finally, the effectiveness of the proposed method is substantiated with an illustrative example.

Date: 2014
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https://doi.org/10.1155/2014/673956

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:673956

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