ElsevierBernal Reza, MÁ.; Sala, A.; Jaadari, A.; Guerra, T. (2011)
AbstractIn this paper, stability of continuous-time polynomial fuzzy models by means of a polynomial generalization of fuzzy Lyapunov functions is studied. Fuzzy Lyapunov functions have been fruitfully used in literature for local analysis of Takagi-Sugeno models, a particular class of the polynomial fuzzy ones.Based on a recent Taylor-series approach which allows a polynomial fuzzy model to exactly represent a nonlinear model in a compact set of the state space, it is shown that a refinement of the polynomial Lyapunov function so as to make it share the fuzzy structure of the model proves advantageous. Conditions thus obtained are tested via SOS software.
This work presents a new non-PDC controller design based on different Lyapunov functions for continuous-time Takagi-Sugeno models. Based on this new control law and on Finsler's lemma a new way to derive LMI constraints problems is presented. Both quadratic and non quadratic Lyapunov functions are under consideration. Some examples show the capability of outperforming existing results without increasing significantly the LMI problems.
Rapporteurs (Evaluadores externos, vocales)-Ariño Latorre, Carlos. Profesor Contratado Doctor, Universitat Jaume I, Castello de la Plana, Espagne. -El Hajjaji, Ahmed. Professeur, Université Picardie Jules Verne -Maquin, Didier. Professeur, Université de Lorraine.
Examinateurs (Otros miembros del tribunal)-Salcedo, José Vicente. Profesor Titular, Universitat Politecnica de Valencia, Espagne -Bernal, Miguel. Profesor Investigador Titular, Instituto Tecnológico de Sonora, Mexique.
Directeur de thèse-Guerra, Thierry-Marie. Professeur, Directeur du Lamih.
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