Delay-dependent robust \(H_\infty\) filtering of the Takagi-Sugeno fuzzy stochastic systems (Q474523)

Summary: This paper is concerned with the problem of the robust \(H_\infty\) filtering for the Takagi-Sugeno (T-S) fuzzy stochastic systems with bounded parameter uncertainties. For a given T-S fuzzy stochastic system, this paper focuses on the stochastically mean-square stability of the filtering error system and the \(H_\infty\) performance level of the output error and the disturbance input. The design method for delay-dependent filter is developed based on linear matrix inequalities. Finally, the effectiveness of the proposed methods is substantiated with an illustrative example.