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基于Jacobian+RBF的3-PTT并联机构末端精确控制方法

End Precise Control Method of 3-PTT Parallel Mechanism

  • 摘要: 为降低并联机构机械误差测量和补偿的难度,实现机构末端的精确控制,本文提出一种基于Jacobian和RBF神经网络相结合的末端误差补偿方法。以一种3-PTT并联机构为研究对象,分析机构正、逆运动学,验证数学模型的正确性。根据运动学模型解算Jacobian,分析机构约束奇异和运动奇异。为验证机构末端误差补偿方法的有效性,设置两种实验条件,分别为是否有丝杠的回程误差补偿和末端受不同负载,并通过激光跟踪仪测定末端位置。实验结果表明,使用本文的误差补偿方法后,机构末端轴向(x轴)、径向(y轴)位置误差均降低90%以上,竖直方向(z轴)位置误差均降低80%以上,证明了本文方法的有效性。

     

    Abstract: Parallel mechanism has the advantages of high bearing capacity, high precision and high stiffness, and is widely used in all walks of life in the industrial field. In order to reduce the difficulty of measuring and compensating the mechanical errors of parallel mechanisms and realize the accurate control of the end of the mechanism, a method of end error compensation was proposed based on the combination of Jacobian and RBF neural networks. Taking a 3-PTT parallel mechanism as the research object, the forward and inverse kinematics of the mechanism were analyzed using geometric method, and the correctness of the mathematical model was verified by Matlab/GUI. Jacobian was solved according to kinematics model, and constraint singularity and motion singularity of mechanism are analyzed. In order to verify the effectiveness of the mechanism end error compensation method, two experimental conditions were set up, namely, whether there was a return error compensation of the lead screw and whether the end was subjected to different loads, and the end position was measured by the laser tracker. By training the compensation model through the collected data, the error compensation is completed. The experimental results show that the axial(x-axis) and radial(y-axis) position errors of the end of the mechanism are reduced by more than 90%, and the vertical(z-axis) position errors are reduced by more than 80% after using the error compensation method. In this paper, the error compensation effect is good, the precision of the end of the mechanism is obviously improved, and the proposed method is effective.

     

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