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基于參考軌跡實時修正的機器人軌跡跟蹤控制方法
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國家自然科學基金項目(52075530、51575407、51505349、61733011、41906177)


Robot Trajectory Tracking Control Based on Reference Trajectory Real-time Modification
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    摘要:

    針對動力學不確定性的機器人軌跡跟蹤問題,本文提出一種基于參考軌跡實時修正的機器人軌跡跟蹤控制方法。將軌跡跟蹤中已產(chǎn)生的誤差進行累加,實時前饋補償?shù)絽⒖架壽E上即將被跟蹤的點上。給出了該方法的控制框圖,由控制框圖導出跟蹤誤差與命令誤差之間的關(guān)系式。關(guān)系式表明只需控制器中的控制算法保證速度誤差穩(wěn)定,即可保證跟蹤誤差收斂。此外,提高補償增益的值可以提高誤差的收斂速度。分析PD控制律能滿足所提方法的收斂條件。給出了所提方法中參數(shù)的調(diào)節(jié)方案。通過仿真和實驗驗證了該方法的有效性。實驗結(jié)果表明,各個關(guān)節(jié)跟蹤軌跡1得到的誤差絕對值均不大于0.0087rad;跟蹤軌跡2得到的誤差絕對值均不大于0.0059rad。

    Abstract:

    A simple and effective control method for robot trajectory tracking with uncertain dynamics was presented. The core idea of the proposed method was to modify the reference trajectory in real-time. The main operation of this method was to accumulate the generated tracking errors and compensate them feedforward in real-time to the points to be tracked on the reference trajectory. Firstly, the control block diagram for the proposed method was showed. Then, the equation for the relationship between the tracking error and the command error was derived from the control block diagram. The equation showed that the control algorithm in the controller only needed to ensure that the velocity error was stable and the tracking error would converge. The increase in compensation gain can also accelerate the convergence of the error. Subsequently, the convergence condition that PD control law can satisfy the proposed method was analyzed. At the same time, the adjustment scheme of parameters in the proposed method was given. Finally, the effectiveness of the proposed method was verified by simulation and physical experiment. In the physical experiment, the absolute value of error obtained from tracking trajectory 1 of each joint was no more than 0.0087rad; the absolute value of error obtained from tracking trajectory 2 of each joint was no more than 0.0059rad.

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肖帆,李公法,章曉峰,陶波,蔣國璋,李光.基于參考軌跡實時修正的機器人軌跡跟蹤控制方法[J].農(nóng)業(yè)機械學報,2023,54(2):441-449. XIAO Fan, LI Gongfa, ZHANG Xiaofeng, TAO Bo, JIANG Guozhang, LI Guang. Robot Trajectory Tracking Control Based on Reference Trajectory Real-time Modification[J]. Transactions of the Chinese Society for Agricultural Machinery,2023,54(2):441-449.

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  • 收稿日期:2022-03-24
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  • 在線發(fā)布日期: 2022-04-27
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