Abstract-This paper is concerned with the distributed H∞ filtering problem for a class of discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. The data communications among sensor nodes are equipped with redundant channels subject to random packet dropouts that are modeled by mutually independent Bernoulli stochastic processes. The practical phenomenon of uncertain packet dropout rate is considered, and the norm-bounded uncertainty of the packet dropout rate is asymmetric to the nominal rate. Sufficient conditions on the existence of the desired distributed filters are established by employing the scaled small gain theorem to ensure that the closedloop system is stochastically stable and achieves a prescribed average H∞ performance index. Finally, an illustrative example is provided to verify the theoretical findings.

This paper is concerned with H∞ control problem for a class of discrete-time Takagi-Sugeno fuzzy Markov jump systems with time-varying delays under unreliable communication links. It is assumed that the data transmission between the plant and the controller are subject to randomly occurred packet dropouts satisfying Bernoulli distribution and the dropout rate is uncertain. Based on a fuzzy-basis-dependent and mode-dependent Lyapunov function, the existence conditions of the desired H∞ state-feedback controllers are derived by employing the scaled small gain theorem such that the closed-loop system is stochastically stable and achieves a guaranteed H∞ performance. The gains of the controllers are constructed by solving a set of linear matrix inequalities. Finally, a practical example of robot arm is provided to illustrate the performance of the proposed approach.

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