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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. Abstract: The present work analizes the behaviour of Takagi-Sugeno fuzzy systems in front of non-vanishing disturbances (characterized by known amplitude or quadratic-mean power bounds). Such analysis is focused in validating that, in front of a specific disturbance bound and an initial-condition region, there exist an inescapable region (contained in the region where the TS model is valid as a model of the underlying nonlinear system). Some of the stated problems here are cast as linear matrix inequality problems (LMI), efficiently solvable by semidefinite programming. Others, however, will involve nonconvex products of decision-variable matrices and two scalars (BMI), which are solved in an iterative way. Palabras clave: Takagi-Sugeno, Rechazo a perturbaciones, Conjunto inescapable, Estabilidad local, LMI, Perturbaciones persistentes., Keywords: Takagi-Sugeno, Disturbance rejection, Inescapable set, Local stability, LMI, Nonvanishing disturbances

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