Adaptive disturbance compensation finite control set optimal control for PMSM systems based on sliding mode extended state observer

•A sliding mode extended state observer (SMESO) is proposed for disturbance estimation, the gain of which is adjusted adaptively to decrease chattering phenomenon. In the meantime, the convergence characteristic of SMESO is also analyzed.•An adaptive law is designed to compensate the observation error.•After the estimates of disturbances are achieved, adaptive disturbance compensation finite control set optimal control (FCS-OC) strategy is designed for permanent magnet synchronous motor (PMSM) system driven by voltage source inverter.

Based on sliding mode extended state observer (SMESO) technique, an adaptive disturbance compensation finite control set optimal control (FCS-OC) strategy is proposed for permanent magnet synchronous motor (PMSM) system driven by voltage source inverter (VSI). So as to improve robustness of finite control set optimal control strategy, a SMESO is proposed to estimate the output-effect disturbance. The estimated value is fed back to finite control set optimal controller for implementing disturbance compensation. It is indicated through theoretical analysis that the designed SMESO could converge in finite time. The simulation results illustrate that the proposed adaptive disturbance compensation FCS-OC possesses better dynamical response behavior in the presence of disturbance.