Switched Control for Local Stabilization of Discrete-time Uncertain Takagi-Sugeno Fuzzy Systems with Relaxed Estimate of the Domain of Attraction

• Autor(a) principal: Santos, Gilberto R. dos
• Data de Publicação: 2020
• Outros Autores: Oliveira, Diogo R. de, Teixeira, Marcelo C. M. [UNESP], Assuncao, Edvaldo [UNESP], Cardim, Rodrigo [UNESP], Lazarini, Adalberto Z. N. [UNESP], IEEE
• Tipo de documento: Artigo de conferência
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://hdl.handle.net/11449/218671
• topic: Switched control; Discrete-time uncertain nonlinear system; Takagi-Sugeno (T-S) fuzzy model; Uncertain membership functions; Domain of attraction (DOA); Linear matrix inequality (LMI)

This paper addresses the local stabilization problem and the computation of invariant subsets of the domain of attraction for uncertain nonlinear discrete-time systems. The proposed procedures use Takagi-Sugeno (T-S) fuzzy models that have uncertain membership functions and known local linear models. Based on a non-quadratic Lyapunov function, the proposed method uses a switched control law and the design conditions are given in terms of a optimization problem subject to Linear Matrix Inequalities (LMIs) constraints. The procedure provides a new and effective way to enlarge the estimation of the domain of attraction (DOA). Finally, a numerical example illustrates the effectiveness of the proposed method and compares it with procedures found in the literature.