New Results on $$H_{\infty }$$ H ∞ filter Design for Nonlinear Time-Delay Systems Via Fuzzy Line-Integral Approach

Abstract

This paper revisits the problem of \(H_{\infty }\) filtering design for nonlinear systems with time-varying delay through Takagi–Sugeno (T–S) fuzzy models. By applying the fuzzy line-integral Lyapunov function, a new sufficient condition for the existence of the fuzzy \(H_{\infty }\) filter design is established in terms of linear matrix inequalities. The present method provides improvements and produces better results than existing ones in the literature. Two examples are given to show the advantages and effectiveness of the proposed results.