Robust PI speed tracking control for PMSM system based on convex optimization algorithm

In order to optimize the speed-control performance of the permanent magnet synchronous motor (PMSM) driver system, a novel proportional-integral (PI) speed tracking control algorithm with convex optimization techniques is developed in this paper. Instead of debugging repeatedly or depending on experience to obtain PI control gains, an LMI-based PI control algorithm is proposed to ensure the PMSM system stability and convergence of the tracking error of angular velocity to zero. Moreover, the load torque disturbance attenuation performance with L₁ optimization index can also be guaranteed simultaneously. It is noted that rigorous stability and performance analysis for the speed-control of PMSM system can be provided by the designed optimization algorithm. Finally, simulation studies and results demonstrate that the proposed method obtains good robust tracking performance.