Static output control design for nonlinear systems in the Takagi-Sugeno form

Abstract

Design conditions for existence of a static output feedback control for one class of Takagi-Sugeno fuzzy continuous-time systems are presented in the paper. Availing a fuzzy Lyapunov function candidate, a new design procedure, defined by the set of linear matrix inequalities and equalities, is provided for computation of gain matrices of the control law, realized in the output parallel distributed compensation structure. The approach is illustrated on an example, demonstrating validity of the proposed method.