Real-Time Implementation of Non Linear Observer Based State Feedback Controller for Induction Motor Using Mean Value Theorem

This paper deals with the quadratic stabilization for an induction motor described by a polytopic combination with a guaranteed model the H-infinity tracking performance. Firstly, sector non-linearity transformation is applied to represent the non linear model of the induction motor in synchronous reference frame as Takagi–Sugeno model with unmeasurable decision variables. Then, mean values theorem is used to design the non linear observer based state feedback controller. Convergence conditions are expressed under linear matrix inequality formulation using the second Lyapunov theorem. Observer and controller gains are obtained by solving a sum of linear matrix inequality constraints in a single step using MATLAB/YALMIP toolbox. Experimental validation was carried demonstrate the performance and effectiveness of the proposed approach.