Position-loop based cross-coupled and synchronization control of a parallel kinematics machine

Xiang Zhang, Y. Lou, Ran Shi
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Abstract

Compared with the tracking error, the contouring error has a greater impact on product quality. This paper is concerned with the contouring control of the parallel robots, whose kinematics is nonlinear, so it's hard to utilize the conventional cross-coupled control method directly. Thereby, the position loop-based cross-coupled control is applied. In this method, the contouring error is estimated as the minimum distance from the actual position to the approximated circle. The position-reference input are modified to implement the contouring error compensation. In addition, to strengthen the coordination of the two actual axes further, we proposed to add the synchronization controller to the position loop-based cross-coupled control structure. For the planar motion, the synchronization error of workspace is defined as the difference value between the tracking error of x axis and the tracking error of y axis. It is compensated in the joint space of the driven axes instead of the workspace to improve the motion accuracy more directly. A number of experiments are carried out for circular contour at different speed. The results show the proposed method really leads to improved contouring accuracy.
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基于位置环的并联机构交叉耦合与同步控制
与跟踪误差相比,轮廓误差对产品质量的影响更大。本文研究的是并联机器人的轮廓控制问题,由于并联机器人的运动是非线性的,很难直接采用传统的交叉耦合控制方法。因此,采用了基于位置环的交叉耦合控制。在该方法中,轮廓误差估计为实际位置到近似圆的最小距离。修改位置参考输入以实现轮廓误差补偿。此外,为了进一步加强两个实际轴的协调性,我们提出在基于位置环的交叉耦合控制结构中加入同步控制器。对于平面运动,工作空间同步误差定义为x轴跟踪误差与y轴跟踪误差的差值。在从动轴关节空间进行补偿,而不是在工作空间进行补偿,更直接地提高了运动精度。对不同速度下的圆轮廓进行了大量实验。结果表明,该方法确实提高了轮廓精度。
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