$H_{\infty}$ LPV Observer Design for Position-Sensorless Control of Switched Reluctance Motors: An LMI Approach

Switched reluctance motors (SRMs) have gained significant attention in various industrial applications due to their high power density, simple structure, and low cost. For further cost reduction in the applications, it is essential to operate SRMs without position sensors. This paper proposes a design method of
$H_{\infty}$
linear parameter varying (LPV) observer for position-sensorless control of SRMs. Specifically, we approximate a 6/4 SRM with a LPV system containing approximation errors. Then, an
$H_{\infty}$
LPV observer is proposed to accurately estimate the rotor position in the presence of system model uncertainties and external disturbances. Finally, we propose a design method for the
$H_{\infty}$
LPV observer in terms of linear matrix inequalities (LMIs). Simulation results are presented to demonstrate the effectiveness of the designed observer for position-sensorless control of the SRM.