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3-PRS并聯(lián)機構(gòu)動力學(xué)解耦與控制研究
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國家自然科學(xué)基金項目(52404163)、青海省重點研發(fā)與轉(zhuǎn)化計劃項目(2024-QY-211)和河南省科技攻關(guān)計劃項目(242102221050)


Dynamic Decoupling and Control of 3-PRS Parallel Mechanism
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    摘要:

    針對3-PRS并聯(lián)機構(gòu)耦合性強、干擾難以控制等問題,對該機構(gòu)進行動力學(xué)解耦與控制。首先建立機構(gòu)逆向運動學(xué)模型,推導(dǎo)出末端動平臺位姿與輸入滑塊高度間的運動方程;分析機構(gòu)中各運動構(gòu)件動能和勢能,得出機構(gòu)拉格朗日動力學(xué)方程,分析在無重力環(huán)境以及正常重力環(huán)境中驅(qū)動力對末端動平臺位姿的影響,并進行理論模型與數(shù)值仿真對比,其結(jié)果驗證了動力學(xué)模型一致性和正確性;構(gòu)建面向逆向動力學(xué)模型狀態(tài)空間方程,研究3-PRS并聯(lián)機構(gòu)李導(dǎo)數(shù)表達式,實現(xiàn)狀態(tài)空間方程反饋線性化解耦,并對狀態(tài)空間解耦模型進行仿真,搭建3-PRS并聯(lián)機構(gòu)實驗平臺,驗證了提出方法的有效性;基于完全解耦與積分滑模設(shè)計3-PRS并聯(lián)機構(gòu)控制器,仿真實驗驗證了該控制器的有效性。結(jié)果表明,設(shè)計的控制器不僅能夠解耦其動力學(xué)模型,且在干擾、輸入驅(qū)動力為時變情況下能夠跟蹤預(yù)期軌跡,具有較強的魯棒性。

    Abstract:

    It is difficult for 3PRS parallel mechanism to control due to its strong coupling and susceptibility to disturbances. Thus the decoupling and control strategies of the mechanism were studied. Firstly, the inverse kinematics model of the mechanism was established, the kinematic equations were deduced between the position and pose of the moving platform and the heights of the input sliders. The kinetic and potential energies of the motion component within the mechanism were analyzed, the Lagrange dynamic equations for the 3-PRS parallel mechanism were obtained. The driving forces on the position and pose of the moving platform in both zero-gravity and normal gravity environments were further investigated. The theoretical model and numerical simulation were performed and the consistency and accuracy of the dynamic model were confirmed. The state-space equations based on the inverse dynamics model were formulated, and the Lie derivative expressions for the 3-PRS parallel mechanism were studied to enable feedback linearization decoupling of the state-space equations. The simulation analysis was conducted on the decoupled statespace model. The experiment platform of 3-PRS parallel was set up to verify the effectiveness of the proposed method. The controller for the 3-PRS parallel mechanism was designed on the basis of the complete decoupling and the integral sliding mode control. The effectiveness of the controller was validated through the simulation experiments. The results indicated that the designed controller can not only decouple its dynamical model but also can track the expected trajectory under the presence of disturbances and time-varying input driving forces, which made the system possess with strong robustness.

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黃俊杰,皇甫晨豪,張家齊,蔡江坤,李世鍇,劉志忠,閆勇剛,陳國強.3-PRS并聯(lián)機構(gòu)動力學(xué)解耦與控制研究[J].農(nóng)業(yè)機械學(xué)報,2025,56(6):735-744. HUANG Junjie, HUANGFU Chenhao, ZHANG Jiaqi, CAI Jiangkun, LI Shikai, LIU Zhizhong, YAN Yonggang, CHEN Guoqiang. Dynamic Decoupling and Control of 3-PRS Parallel Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2025,56(6):735-744.

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  • 收稿日期:2025-01-06
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  • 在線發(fā)布日期: 2025-06-10
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