A New Filter Design Method for a Class of Fuzzy Systems With Time Delays

In this article, the problem of filtering is studied for a class of nonlinear systems subject to time delays. The dynamics of nonlinear systems are characterized by Takagi-Sugeno (T-S) affine-fuzzy models. First, an extended bounded real lemma is established. In the process of analysis, a novel membership-dependent Lyapunov-Krasovskii functional is constructed, contributing to reducing the conservatism of the obtained results. Then, a fuzzy filter is designed through a linearization procedure such that the filtering error system is stable and satisfies a specified H-infinity performance level. The research results further deepen and enrich the theory of fuzzy filtering, providing the theoretical basis and the technical support for real applications. Finally, examples are provided to verify the effectiveness of the developed new design methods.

Automated summary

This article studies the filtering problem for a class of nonlinear systems with time delays. By establishing an extended bounded real lemma and constructing a novel membership-dependent Lyapunov-Krasovskii functional, the conservatism of the obtained results is reduced. Through the design of a fuzzy filter using a linearization procedure, the stability of the filtering error system is ensured to meet a specified H-infinity performance level. The research outcomes deepen and enrich the theory of fuzzy filtering, providing theoretical basis and technical support for real applications.