Dynamic output control of nonlinear systems described by Takagi-Sugeno models

The paper deals with the problem of the output feedback stabilization of the continuous-time nonlinear systems using the biproper Takagi-Sugeno dynamic output controller of order equal to the plant model order. The design procedure is based on the solution of the set of linear matrix inequalities and one matrix equality and ensures the closed-loop quadratic stability using Lyapunov approach, aggregating the fuzzy interactions among the subsystems. The numerical examples are given to illustrate the design procedure and the relevance of the method, as well as to validate the performances of the proposed approach.