Switched Control for Local Stabilization of Discrete-time Uncertain Takagi-Sugeno Fuzzy Systems with Relaxed Estimate of the Domain of Attraction
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Data
2020-01-01
Autores
Santos, Gilberto R. dos
Oliveira, Diogo R. de
Teixeira, Marcelo C. M. [UNESP]
Assuncao, Edvaldo [UNESP]
Cardim, Rodrigo [UNESP]
Lazarini, Adalberto Z. N. [UNESP]
IEEE
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Ieee
Resumo
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.
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Palavras-chave
Switched control, Discrete-time uncertain nonlinear system, Takagi-Sugeno (T-S) fuzzy model, Uncertain membership functions, Domain of attraction (DOA), Linear matrix inequality (LMI)
Como citar
2020 Ieee International Conference On Fuzzy Systems (fuzz-ieee). New York: Ieee, 8 p., 2020.