Conditions of output stabilization for nonlinear models in the Takagi–Sugeno's form

This paper deals with the control law design with an observer for models in the Takagi–Sugeno's (TS) form in the general case where the nonlinearities and the variables involved are not measurable. The results presented in this paper give sufficient conditions of stabilization for the global loop, i.e. TS model stabilized with a state feedback and a fuzzy observer. Conditions are given in the form of linear matrix inequalities (LMI) problem.