Delay‐dependent decentralised H ∞ filtering for fuzzy interconnected systems with time‐varying delay based on Takagi–Sugeno fuzzy model

This study focuses on the problem of delay‐dependent H ∞ filter design for non‐linear interconnected systems with time‐varying delays via Takagi–Sugeno fuzzy models. Based on the delay‐dependent fuzzy Lyapunov–Krasovskii functional and the fuzzy‐free weighting matrix technique, the delay‐dependent stability and a prescribed H ∞ performance index are guaranteed for the overall filtering‐error system. In addition, a sufficient condition for the existence of such a filter is established by using linear matrix inequalities that are numerically feasible. Finally, two examples are given to demonstrate the effectiveness and advantage of the proposed approach.