Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions

Autor(es)

Elias, Leandro J. ; Faria, Flavio A. ; Araujo, Rayza ; Oliveira, Vilma A.

• Tipo de documento: Artigo Científico
• Fonte: IFAC PAPERSONLINE; v. 53, n. 2, p. 6-pg., 2020-01-01.

Resumo

Exploring properties of membership functions, sufficient conditions based on linear matrix inequalities (LMIs) for a existence of a switched polynomial Lyapunov function are proposed. To obtain the LMIs, the time derivative of membership functions are described as a finite polytopic representation, leading to less conservative conditions than other published results. A numerical example illustrates the efficiency of the stabilizing conditions. Copyright (C) 2020 The Authors. (AU)

• Processo FAPESP: 14/50851-0 - INCT 2014: Instituto Nacional de Ciência e Tecnologia para Sistemas Autônomos Cooperativos Aplicados em Segurança e Meio Ambiente
• Beneficiário: Marco Henrique Terra
• Modalidade de apoio: Auxílio à Pesquisa - Temático