Hardware-in-the-loop implementation of an unknown input observer for synchronous reluctance motor

In this paper, we design a proportional integral observe for a nonlinear synchronous reluctance motor described by a Takagi–Sugeno multi-model. In this design, both states and unknown inputs are estimated simultaneously. First, the mathematical nonlinear model of the synchronous reluctance motor is established, then it transformed into a Takagi–Sugeno exact form by a simple polytopic transformation. In The second step, the proposed observer is designed to the obtained fuzzy system. Convergence conditions are expressed under a linear matrix inequality formulation using the second Lyapunov theorem, which guarantee a bounded error. Observer gains are obtained by solving a sum of constraints. For validation purposes, a hardware-in-the-loop implementation were carried out leading to results that clearly demonstrate the performance and effectiveness of the proposed technique. •Unknown input observer is designed for a non linear systems via Takagi–Sugeno (TS) fuzzy model.•TS fuzzy model, is obtained by using the non linear sector transformation.•Stability of the TS fuzzy model is guaranteed via a quadratic function of Lyapunov.•Observer gains can be obtained by solving a set of linear matrix inequalities using Matlab/YALMIP toolbox.•The effectiveness and feasibility of the proposed observer has been validated via a hardware in the loop platform.