考虑非线性摩擦预补偿的直线伺服系统广义预测定位控制

Generalized Predictive Positioning Control for Linear Servo System Considering Nonlinear Friction Pre-compensation

  • 摘要: 针对直线伺服系统传统广义预测控制策略未充分考虑非线性摩擦对跟踪精度存在影响的问题,提出了一种考虑非线性摩擦预补偿的直线伺服系统广义预测定位控制方法。首先建立包含非线性摩擦扰动项的直线伺服系统动力学模型,根据系统动力学建立系统的预测模型,并基于预测模型对直线伺服系统的位置输出进行预测,进而求出系统的最优控制增量序列,对直线伺服系统进行线性广义预测控制。在此基础上,引入一个简单的非线性摩擦模型,通过该模型预测并补偿了直线电机在起动和换向时所受的非线性摩擦,进而减小了直线电机起动和换向时的位移跟踪误差,实现了直线伺服系统的高精度广义预测定位控制。最后通过仿真和实验验证了所提控制方法的有效性和先进性。

     

    Abstract: Considering the issue that the traditional generalized predictive control strategy for linear servo systems fails to fully account for the impact of nonlinear friction on tracking accuracy, a generalized predictive positioning control approach for linear servo systems considering nonlinear friction pre-compensation is put forward. Firstly, a dynamic model of the linear servo system incorporating nonlinear friction disturbance terms is constructed. Subsequently, according to the system dynamics, a predictive model of the system is developed. Based on this predictive model, the position output of the linear servo system is predicted. Then, the optimal control increment sequence of the system is derived, enabling the implementation of linear generalized predictive control for the linear servo system. On this foundation, a simple nonlinear friction model is introduced. By means of this model, the nonlinear friction that the linear motor encounters during start-up and commutation is predicted and compensated. As a result, the displacement tracking error of the linear motor during start-up and commutation is decreased, and high-precision generalized predictive positioning control of the linear servo system is realized. Finally, the effectiveness and superiority of the proposed control method are validated through simulations and experiments.

     

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