An Event-Triggered H_∞ Filter for Interval Type-2 T–S Fuzzy Nonlinear Networked Systems with Parameter Uncertainties and Delays

This paper designs an event-triggered H_∞ filter for interval type-2 (IT2) Takagi–Sugeno (T–S) fuzzy nonlinear networked systems with parameter uncertainties and delays. First, an IT2 T–S fuzzy model is used to describe the nonlinear plant and the filter subject to parameter uncertainties, which can be captured with the lower and upper membership functions. Then, an event-triggered scheme and a quantizer are proposed to reduce the unnecessary waste of the network resources. Second, the asynchronous premise variables problem is considered in the design of the fuzzy filter, which means that the premise variable of the designed filter needs not to be identical with the plant. Third, by constructing a Lyapunov–Krasovskii function with quadruple integral items, and employing the Wirtinger inequality and some slack matrices, a stability condition with less conservative is obtained. Finally, a numerical example demonstrates the effectiveness of the proposed method.