Actas de congresos
Switched Control for Local Stabilization of Discrete-time Uncertain Takagi-Sugeno Fuzzy Systems with Relaxed Estimate of the Domain of Attraction
Fecha
2020-01-01Registro en:
2020 Ieee International Conference On Fuzzy Systems (fuzz-ieee). New York: Ieee, 8 p., 2020.
1098-7584
WOS:000698733400038
Autor
Universidade Federal de Mato Grosso do Sul (UFMS)
IFMS Fed Inst Educ Sci & Technol Mato Grosso do S
Universidade Estadual Paulista (UNESP)
Institución
Resumen
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.