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Fuzzy $H_{\infty }$ filtering for nonlinear Markovian jump neutral systems. (English) Zbl 1233.93091
Summary: This article is concerned with the problem of $H_{\infty }$ filter design for nonlinear Markovian jump neutral systems through the Takagi-Sugeno fuzzy model approach. By using a novel Markovian switched Lyapunov functional, a delay-dependent Bounded Real Lemma (BRL) is presented in terms of linear matrix inequalities. Based on the derived BRL, both normal $H_{\infty }$ filters and non-fragile $H_{\infty }$ filters are designed, which guarantee that the corresponding filtering error systems are stochastically stable with a specified $H_{\infty }$ performance level. A numerical example is given to demonstrate the effectiveness of the proposed approach.

93E11Filtering in stochastic control
93E12System identification (stochastic systems)
93C10Nonlinear control systems
93C42Fuzzy control systems
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