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直線超聲電動機(jī)驅(qū)動并聯(lián)平臺建模與控制
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國家自然科學(xué)基金資助項目(91223201、51375225,、51175264、51275235)、中央高?;究蒲袠I(yè)務(wù)費(fèi)專項資金資助項目(NE2013001)、江蘇省自然科學(xué)基金資助項目(BK2012797)和江蘇高校優(yōu)勢學(xué)科建設(shè)工程資助項目


Modeling and Control of Parallel Manipulator Driven by Linear Ultrasonic Motors
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    摘要:

    為實現(xiàn)直線超聲電動機(jī)驅(qū)動的3-PRR并聯(lián)平臺的精確軌跡跟蹤控制,,對其進(jìn)行了運(yùn)動學(xué)和動力學(xué)建模,,并設(shè)計了基于模型和輪廓誤差的控制器。首先,根據(jù)并聯(lián)平臺的閉鏈約束條件,,對并聯(lián)平臺進(jìn)行了運(yùn)動學(xué)分析,。在此基礎(chǔ)上,對并聯(lián)平臺的各部件速度和加速度進(jìn)行了推導(dǎo),,并獲得了相應(yīng)的雅可比矩陣,,隨后基于虛功原理建立了平臺的動力學(xué)模型。最后,,由切線近似法推導(dǎo)了平面三自由度輪廓誤差的轉(zhuǎn)化方法,,并設(shè)計了基于模型和輪廓誤差的控制器。實驗結(jié)果表明,,基于動力學(xué)模型和輪廓誤差的控制器可將X和Y軸的軌跡跟蹤誤差控制在15μm以內(nèi),,提高了動平臺的軌跡跟蹤精度。

    Abstract:

    The demand for precise positioning manipulators with a large workspace has increased dramatically due to their role in semiconductor manufacturing, medical surgery and automatic micro assembly. In this paper, a planar parallel manipulator (PPM) actuated by three linear ultrasonic motors (LUSMs) for high accuracy positioning is designed. With the aim to realize accurate trajectory tracking control of the proposed 3 PRR PPM, a model and contour error based controller is developedaccording to the dynamic model of the parallel manipulator. The dynamic modeling procedure is as follows: firstly, based on the closed loop constraints of the parallel structure, kinematic analysis of the manipulator is carried out, and the inverse kinematics solution is obtained. Then thevelocities and accelerations of each part, such as rigid linkage, sliders of the motor, and the moving platform, are analyzed in order to derivethe corresponding Jacobian matrices between different coordinates.Finally, the dynamic model of the parallel manipulator is developed using virtual work principle. In a motion trackingtask, it is much more important to minimize the component of the error vector that is the normal with respect to the reference trajectory. This component of the error vector is referred to as the contour error. According to contour error theory, minimizing independent axial errors may not minimize the contour error and conversely, it is possible to have a small contour error while having large axial errors. Hence the contour error based control method is adopted to achieve precise motion tracking in this paper. The contour errorsof three planar degrees of freedom are formulated based on tangential approximation approach, and then a model and contour error based controller is developed using the feedback linearization principle. The stability of the proposed control law is proved based on Lyapunov theory. To guarantee the accuracy of the proposed control algorithm, a kinematic calibration is performed to obtain the real kinematic parameters before the control experiment. The actual position of the moving platform is captured by the CCD camera, and the error cost function is optimized by the particle swarm optimization (PSO) algorithm. Experimental results show that, the trajectory tracking errors of X and Y axes can be reduced to 15μm using the proposed controller, which improves the motion tracking accuracy of the moving platform. The results also present that the tangential approximation approach has the better ability to approximate the real contour error.

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張 泉,朱本亮,周麗平,金家楣,張建輝.直線超聲電動機(jī)驅(qū)動并聯(lián)平臺建模與控制[J].農(nóng)業(yè)機(jī)械學(xué)報,2014,45(7):278-285. Zhang Quan, Zhu Benliang, Zhou Liping, Jin Jiamei, Zhang Jianhui. Modeling and Control of Parallel Manipulator Driven by Linear Ultrasonic Motors[J]. Transactions of the Chinese Society for Agricultural Machinery,2014,45(7):278-285.

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  • 收稿日期:2013-06-21
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  • 在線發(fā)布日期: 2014-07-10
  • 出版日期: 2014-07-10
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