Advanced Speed Control of Permanent Magnet Synchronous Motor Using Linear Matrix Inequalities Methode

Permanent Magnet Synchronous Motors (PMSMs) are highly efficient and versatile, widely used in electric vehicles, robotics, and industrial systems due to their high torque density, precision, and low maintenance. Research focuses on enhancing control performance, addressing dynamic response, overshoot, torque ripples, and disturbances to meet modern application demands. This study offers a reliable control approach for creating a three-phase Permanent Magnet Synchronous Motor (PMSM) speed control system. A state-feedback control rule based on the Robust Parametric Quadratic (RPQ) approach is developed using the coupled model in the (d,q) reference frame because the motor's dynamic model is nonlinear. To guarantee system stability and good dynamic performance, the model is reformed into an Affine/Polytopic state-space representation, and the control law is constructed using Linear Matrix Inequalities (LMI) approaches. The results of the simulation show that the suggested RPQ controller is better than the traditional LQ and PI controllers. The RPQ controller achieves a faster response, minimal overshoot, higher efficiency in overcoming load torque variations, reduced electromagnetic torque ripples, and improved quality of electrical signals. These findings underscore the effectiveness of the proposed controller in addressing challenges arising from parameter variations and nonlinearities in the motor model.