Stability Analysis of Takagi-sugeno Fuzzy Systems via Lmi: Methodologies Based on a New Fuzzy Lyapunov Function
نویسندگان
چکیده
Análise da estabilidade de sistemas fuzzy de Takagi-Sugeno via LMI: Metodologia baseda numa nova função de Lyapunov fuzzy A análise de estabilidade de sistemas fuzzy TS pode ser aprimorada com o uso de funções de Lyapunov fuzzy, uma vez que as mesmas são parametrizadas por funções de pertinência e podem definir melhor a ca-racteŕıstica variante no tempo de tais sistemas através do uso da informação relacionada à primeira derivada temporal das funções de pertinência. Neste trabalho uma função de Lyapunov fuzzy aperfeiçoada é usada com o intuito de se desenvolver condições de estabilidade que avaliam também a segunda derivada temporal das funções de pertinência, aprimorando a caracterização do aspecto variante no tempo de sistemas TS. Novos testes no formato de LMIs são desenvolvidos usando diferentes estratégias para incorporar tais derivadas e empregando algumas ferramentas numéricas que desacoplam as matrizes do
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