Decentralized Dissipative Filtering for Delayed Nonlinear Interconnected Systems Based on T–S Fuzzy Model

This paper focuses on the problem of dissipative filtering for nonlinear interconnected systems with interval time-varying delays. The considered nonlinear interconnected system is modeled by Takagi–Sugeno fuzzy rules. By constructing the delay-dependent Lyapunov–Krasovskii functional and using new integral inequality, the delay-dependent condition is established to ensure that the derived closed-loop system is asymptotically stable with strict <inline-formula><tex-math notation="LaTeX">$(Q, S,R)-\alpha -$</tex-math></inline-formula> dissipativity. In addition, a suitable filter is designed by solving a set of linear matrix inequalities. The presented method can provide better performance than the existing ones for the case of <inline-formula><tex-math notation="LaTeX">$\mathcal {H}_\infty$</tex-math></inline-formula> filtering. A simulation example is given to demonstrate the validity of the developed filter design technique.