Abstarct: In this thesis, first we introduce the Takagi - Sugeno Models and then , by an example,explain the application of this Models to approximate a function (or available data).Also,we present an approach to design controller for nonlinear systems,baxsed on the Takagi - Sugeno Modelling,and analyze the stability.Further,we consider the mass- spring problem and give its controller.Moreover,we apply two approaches PDC and PPDC for stabilization of the Takagi - Sugeno systems and by their comporision show that the PPDC approach has better results with to the PDC appreach.The results are simulated for mass - spring problem.