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An approach to design stabilizers and observers for a class of multiple-input multiple-output (MIMO) Takagi-Sugeno (T-S) fuzzy models is developed on the basis of local gains and the searching for a set of interpolation functions capable of properly combining the aforementioned local gains. As expected, the existence of such interpolation functions depends on the controllability and observability properties of the overall multivariable T-S fuzzy model. For that reason, practical controllability and observability tests are also proposed for MIMO T-S fuzzy systems. Some numerical simulations are used in order to validate the efficacy of the method. Besides, the results are compared with an approach based on linear matrix inequalities, namely parallel distributed compensation.
Meda-Campaña et al. (Fri,) studied this question.