College of Information Science and Engineering, Northeastern University, Shenyang, China.
PLoS One. 2024 Sep 13;19(9):e0308417. doi: 10.1371/journal.pone.0308417. eCollection 2024.
In order to meet the increasing demand of high-performance control in industrial production, a new sliding mode variable structure control algorithm, Asymptotic Sliding Mode Control (ASMC), is designed in this study to solve the serious chattering problem of sliding mode control. Firstly, a traditional sliding mode exponential approximation law control model and a state space and control function are constructed based on sliding mode control. Secondly, by eliminating the jitter factor, ASMC algorithm is combined with sliding mode control to achieve precise control of permanent magnet synchronous motor (PMSM) and improve its performance. The experimental results indicated that in the simulation experiment, the research system tended to stabilize within 0.2-0.3 seconds, and the system chattering was significantly suppressed. And its output was smoother, the jitter amplitude was significantly reduced by 1/3, and the output torque was more stable. In addition, when the parameter H0 changed to 2H0, the overall speed curve did not change much, with only a slight overshoot. The overshoot was only 2.8%, and the change amplitude was maintained at around 25r/min, indicating that the research system had strong self stability performance. In actual experiments, the current command oscillation of the research system was significantly reduced. The local graph showed that the output fluctuation amplitude of the asymptotic approach law actual control was significantly smaller under no-load disturbance. When the H0 changed towards 2H0, the actual adjustment time was about 0.1 seconds, which was consistent with the simulation experiment. Therefore, the contribution of the research is that the ASMC algorithm can suppress the chattering problem of the system and improve the approaching speed, thus improving the speed regulation quality of the system. This new algorithm has great theoretical and practical significance for improving the performance of PMSM, and is practical in the actual vector control system of PMSM.
为满足工业生产中日益增长的高性能控制需求，本研究设计了一种新的滑模变结构控制算法——渐近滑模控制（ASMC），以解决滑模控制中的严重抖振问题。首先，基于滑模控制构建了传统的滑模指数逼近律控制模型和状态空间与控制函数。其次，通过消除抖动因素，将 ASMC 算法与滑模控制相结合，实现对永磁同步电机（PMSM）的精确控制，提高其性能。实验结果表明，在仿真实验中，研究系统在 0.2-0.3 秒内趋于稳定，系统抖振得到明显抑制。其输出更加平滑，抖动幅度降低了 1/3，输出转矩更加稳定。此外，当参数 H0 变为 2H0 时，整体速度曲线变化不大，仅略有过冲。过冲仅为 2.8%，变化幅度保持在 25r/min 左右，表明研究系统具有较强的自稳定性。在实际实验中，研究系统的电流指令振荡明显减少。局部图形显示，渐近趋近律实际控制的输出波动幅度在空载干扰下明显较小。当 H0 向 2H0 变化时，实际调整时间约为 0.1 秒，与仿真实验一致。因此，本研究的贡献在于 ASMC 算法可以抑制系统的抖振问题，提高趋近速度，从而提高系统的调速质量。该新算法对提高 PMSM 的性能具有重要的理论和实际意义，在实际的 PMSM 矢量控制系统中具有实用性。
