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基于Jacobian+RBF的3-PTT并聯(lián)機構末端精確控制方法
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國家自然科學基金項目(51965029、51865020)、國家重點研發(fā)計劃項目(2018YFB1306103)和云南省重大專項(202002AC080001)


End Precise Control Method of 3-PTT Parallel Mechanism
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    摘要:

    為降低并聯(lián)機構機械誤差測量和補償?shù)碾y度,實現(xiàn)機構末端的精確控制,本文提出一種基于Jacobian和RBF神經(jīng)網(wǎng)絡相結合的末端誤差補償方法。以一種3-PTT并聯(lián)機構為研究對象,分析機構正、逆運動學,驗證數(shù)學模型的正確性。根據(jù)運動學模型解算Jacobian,分析機構約束奇異和運動奇異。為驗證機構末端誤差補償方法的有效性,設置兩種實驗條件,分別為是否有絲杠的回程誤差補償和末端受不同負載,并通過激光跟蹤儀測定末端位置。實驗結果表明,使用本文的誤差補償方法后,機構末端軸向(x軸)、徑向(y軸)位置誤差均降低90%以上,豎直方向(z軸)位置誤差均降低80%以上,證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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陳明方,黃良恩,魏松坡,鄭仕高,陳中平.基于Jacobian+RBF的3-PTT并聯(lián)機構末端精確控制方法[J].農業(yè)機械學報,2023,54(2):430-440. CHEN Mingfang, HUANG Liang'en, WEI Songpo, ZHENG Shigao, CHEN Zhongping. End Precise Control Method of 3-PTT Parallel Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2023,54(2):430-440.

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  • 收稿日期:2022-11-05
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  • 在線發(fā)布日期: 2022-12-15
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