赵天一, 贵献国, 乔岳, 徐殿国. 基于平滑GMS模型和改进扩张状态观测器的复合摩擦补偿[J]. 中国电机工程学报, 2024, 44(5): 1999-2008. DOI: 10.13334/j.0258-8013.pcsee223091
引用本文: 赵天一, 贵献国, 乔岳, 徐殿国. 基于平滑GMS模型和改进扩张状态观测器的复合摩擦补偿[J]. 中国电机工程学报, 2024, 44(5): 1999-2008. DOI: 10.13334/j.0258-8013.pcsee223091
ZHAO Tianyi, GUI Xianguo, QIAO Yue, XU Dianguo. Composite Friction Compensation Based on Smooth GMS Model and Improved Extended State Observer[J]. Proceedings of the CSEE, 2024, 44(5): 1999-2008. DOI: 10.13334/j.0258-8013.pcsee223091
Citation: ZHAO Tianyi, GUI Xianguo, QIAO Yue, XU Dianguo. Composite Friction Compensation Based on Smooth GMS Model and Improved Extended State Observer[J]. Proceedings of the CSEE, 2024, 44(5): 1999-2008. DOI: 10.13334/j.0258-8013.pcsee223091

基于平滑GMS模型和改进扩张状态观测器的复合摩擦补偿

Composite Friction Compensation Based on Smooth GMS Model and Improved Extended State Observer

  • 摘要: 摩擦力是影响直线伺服系统低速运行与点对点定位精度的主要非线性扰动。广义麦克斯韦(generalized Maxwell- slip,GMS)摩擦模型虽然可以准确描述摩擦特性用于前馈补偿,但其存在切换点过渡时振荡的问题,同时易受测量噪声和摩擦参数变化等影响。为此,该文提出基于平滑GMS模型和改进扩张状态观测器(extended state observer,ESO)的复合摩擦补偿策略。首先,引入过渡用双曲正切函数以解决GMS模型中在切换点的反复穿越问题,并给出该模型的离线辨识方法。其次,设计基于模型信息的四阶ESO补偿剩余摩擦力与未知扰动,并引入切比雪夫滤波器整定观测器增益,以降低扰动观测与噪声敏感之间的冲突。为验证所提摩擦补偿策略的有效性,在小型高精度永磁同步直线电机定位平台上进行定位实验。实验结果验证了所提摩擦补偿策略的可行性和有效性。

     

    Abstract: Friction is the main nonlinear disturbance that affects the low-speed operation and point-to-point positioning accuracy of the linear servo system. Although the friction model of Generalized Maxwell-slip (GMS) can accurately describe the friction characteristics for feed-forward compensation, it has the problem of oscillation during the transition of the switching point, and it is susceptible to measurement noise and changes in friction parameter. In this paper, a friction compensation strategy based on the combination of smooth GMS model and disturbance observation method is proposed. First, the hyperbolic tangent function is used to replace the switch function to solve the problem of repeated crossing during the transition of the switching point in the GMS model, and an offline identification method of the model is proposed. The smooth GMS model is continuous and infinitely differentiable in the whole defined domain, which is more suitable for introducing state observers. Second, aiming at the accuracy problem of offline friction compensation, a fourth-order linear extended state observer based on model information is designed to compensate for residual friction and unknown disturbance, and the Chebyshev filter that is close to the ideal filter characteristic is selected to design the observer gain to solve the problem of low gain in passband. In order to verify the effectiveness of the proposed strategy, a positioning experiment is carried out on a small high-precision permanent magnet synchronous linear motor positioning platform. The experimental results show that the proposed method can effectively suppress the friction during speed switching, and greatly improve the tracking accuracy.

     

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