Switched Control for Local Stabilization of Discrete-time Uncertain Takagi-Sugeno Fuzzy Systems with Relaxed Estimate of the Domain of Attraction
| Autor: | Gilberto R. dos Santos, Marcelo C. M. Teixeira, Edvaldo Assunção, Rodrigo Cardim, Diogo Ramalho de Oliveira, Adalberto Z. N. Lazarini |
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| Rok vydání: | 2020 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Optimization problem Computer science Computation 02 engineering and technology Fuzzy control system Invariant (physics) Fuzzy logic Nonlinear system symbols.namesake 020901 industrial engineering & automation Discrete time and continuous time Computer Science::Systems and Control Control theory 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing Invariant (mathematics) |
| Zdroj: | FUZZ-IEEE |
| DOI: | 10.1109/fuzz48607.2020.9177568 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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