基于扩张状态观测器的PMSM滑模控制

PMSM sliding mode control based on extended state observer

  • 摘要: 为了提升永磁同步电动机在不同工况下的速度控制精度和抑制扰动能力,提出一种基于扩张状态观测器的非奇异终端滑模控制方法。首先,建立涵盖参数变化和负载扰动的永磁同步电动机数学模型,并设计改进型非奇异终端滑模面,结合快速幂次趋近律构建速度控制器,在保证全局稳定性的同时,有效提升了收敛速度并抑制了滑模抖振;其次,引入扩张状态观测器,将系统的内外扰动扩张为一个新的状态变量补偿到控制器中,显著增强了系统对扰动的抑制能力;最后,在 MATLAB 中搭建仿真模型,将所提控制方法和基于线性扩张状态观测器设计的控制器进行对比分析,实验结果表明,所提控制方法具有更快的收敛速度和更强的抑制扰动能力。

     

    Abstract: In order to improve the speed control accuracy and disturbance suppression ability of permanent magnet synchronous motors (PMSMs) under different operating conditions, this paper proposes a non-singular terminal sliding mode control method based on an extended state observer. Firstly, a mathematical model of permanent magnet synchronous motor is established, including parameter variations and load disturbances. An improved non-singular terminal sliding mode surface is designed, and a speed controller is constructed using a fast power law approach. This ensures global stability while effectively improving convergence speed and suppressing sliding mode chattering. Secondly, the introduction of an extended state observer expands the internal and external disturbances of the system into a new state variable to compensate for in the controller, significantly enhancing the system's ability to suppress disturbances. Finally, a simulation model was built in MATLAB to compare and analyze the control method proposed in this paper with the controller designed based on a linear extended state observer. The experimental results showed that the control method proposed in this paper exhibited faster convergence speed and stronger disturbance suppression ability.

     

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