Estabilidad de sistemas Takagi-Sugeno bajo perturbaciones persistentes: estimación de conjuntos inescapables

J.L. Pitarch, A. Sala, C.V. Ariño

Resumen

El presente trabajo analiza el comportamiento de sistemas borrosos Takagi-Sugeno ante perturbaciones persistentes (caracterizadas bien por cotas conocidas de amplitud o de potencia en media cuadrática). El análisis se centra en validar que, ante una determinada cota de potencia de perturbaciones y región de condiciones iniciales, existe una región inescapable (contenida en la región donde el modelo TS es válido como modelo de un sistema no lineal subyacente). Algunos de los problemas planteados se formulan como problemas de desigualdades matriciales lineales (LMI), posibles de resolver de forma óptima por programación semidefinida, y otros serán productos de matrices variables de decisión y dos escalares (BMI), que son resueltos de forma iterativa.

Palabras clave

Takagi-Sugeno; Rechazo a perturbaciones; Conjunto inescapable; Estabilidad local; LMI; Perturbaciones persistentes

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Revista Iberoamericana de Automática e Informática industrial  vol: 17  num.: 3  primera página: 285  año: 2020  
doi: 10.4995/riai.2020.11938



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