Observer-based state feedback controller of PMSM using convex optimization via Feedforward Technique

In this paper, we aim to solve the quadratic stabilization of the PMSM described by a polytopic combination with a guaranteed model of the controller tracking performance. Firstly, the peculiarity of this paper is the synthesis of sector non-linearity transformation applied to represent the nonlinear model of the PMSM motor in synchronous reference frame as the Takagi-Sugeno model. Then, the mean values theorem is used to design the nonlinear observer based state feedback controller. Par using the second Lyapunov theorem, linear matrix inequality expressed the convergence conditions. Observer and controller gains are obtained by solving a sum of linear matrix inequality constraints in a single step using MATLAB/YALMIP toolbox.