Decentralized H_∞ fuzzy filter for nonlinear large-scale sampled-data systems with uncertain interconnections

This paper proposes a decentralized H_∞ fuzzy filter technique for nonlinear large-scale interconnected systems that are based on the Takagi–Sugeno fuzzy model. The large-scale system has unknown interconnection terms that are assumed to satisfy the quadratic bounds. An error system between the nonlinear large-scale system and the decentralized filter is constructed. By using the fuzzy Lyapunov technique, sufficient conditions are proposed for both showing asymptotic stability and guaranteeing H_∞ fuzzy filter performance. These sufficient conditions are derived in terms of linear matrix inequalities. Finally, simulation examples are given to demonstrate the effectiveness of the proposed technique.