A novel polynomial membership functions based control method for T–S fuzzy systems
Carregando...
Data
Título da Revista
ISSN da Revista
Título de Volume
Editor
Universidade Federal de Minas Gerais
Descrição
Tipo
Artigo de periódico
Título alternativo
Primeiro orientador
Membros da banca
Resumo
To solve the state feedback stabilization problem for a class of T–S fuzzy systems, a new stability synthesis method is raised to further relax the conservatism existing in the analysis process. First, a series of nonlinear polynomials are used to approximate the system membership functions. And satisfied approximation results can be obtained. Then a polynomials transformation method is raised to change the polynomial membership functions into linear form. This method can facilitate the synthesis process and achieve better approximation precision. Therefore, by a membership function involving stability analysis approach, linear matrix inequality form stability conditions are given. Finally, by presenting and analyzing a numerical and a practical examples, the conservatism reduction effects of the proposed methods are verified.
Abstract
Assunto
Sistemas difusos, Matemática
Palavras-chave
T–S fuzzy systems, Membership function, Polynomial approximation, Conservatism reduction, Controle de Processos, Inteligência Artificial, Controle Fuzzy, Membership approximating polynomials are changed into multi-dimensional linear form; SOS conditions are replaced by locally valid LMI conditions; Globally valid SOS method is avoided, stability conservatism is efficiently reduced
Citação
Departamento
Curso
Endereço externo
https://www.sciencedirect.com/science/article/pii/S0019057822000805