Non-fragile filtering for fuzzy stochastic systems over fading channel

This paper investigates the problem of non-fragile filter design for nonlinear stochastic systems subject to channel fading. The nonlinear stochastic systems are represented by the Takagi–Sugeno (T–S) model and the channel fading is described by a random process. By using the Lyapunov method, a sufficient condition which guarantees that the filtering error system is stochastically stable and satisfies the passive performance is established. Then the parameters of the non-fragile filter are obtained by solving linear matrix inequalities (LMIs). Finally, numerical examples are employed to illustrate the effectiveness of the proposed approach.