H∞ non-minimal filter design in finite frequency ranges for discrete-time Takagi–Sugeno fuzzy systems with time-varying delays

This paper addresses the problem of H-infinity fuzzy filter design in finite frequency intervals for discrete-time nonlinear systems subject to time-varying delays. Fuzzy filters whose order is greater (non-minimal) than the order of the system are synthesized by transforming the original time-delayed system into an equivalent switched nonlinear system. The design conditions are given in terms of sufficient parameterdependent linear matrix inequalities that can be solved through relaxations based on semi-definite programming The advantages of the proposed approach are illustrated through numerical examples and comparisons with other available techniques3571622634CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQCOORDENAÇÃO DE APERFEIÇOAMENTO DE PESSOAL DE NÍVEL SUPERIOR - CAPESFUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESPnão temnão tem2017/01771-1; 2017/18785-