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挖掘機(jī)自主挖掘分段可變階多項(xiàng)式軌跡規(guī)劃
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國家自然科學(xué)基金項(xiàng)目(551475317)和山西省青年科技研究基金項(xiàng)目(2010021021—2)


Piecewise Polynomial with Variable Order in Trajectory Planning for Autonomous Mining
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    摘要:

    為保證挖掘機(jī)在自主挖掘作業(yè)中軌跡平穩(wěn)連續(xù),,降低振動(dòng)沖擊,提出了一種軌跡規(guī)劃方法,,即將作業(yè)空間中路徑進(jìn)行合理分段,,使其在保證軌跡規(guī)劃結(jié)果中路徑偏差較小不影響完成工作任務(wù)的前提下計(jì)算量盡量減小,,并對(duì)每一段路徑進(jìn)行可變階多項(xiàng)式插值軌跡規(guī)劃,。以某型單斗液壓挖掘機(jī)實(shí)現(xiàn)自主挖掘?yàn)槔?,采?—3—5—3—3多項(xiàng)式插值法進(jìn)行軌跡規(guī)劃,,通過Matlab平臺(tái)仿真,,結(jié)果顯示挖掘機(jī)各關(guān)節(jié)角位移,、角速度、角加速度曲線平滑連續(xù),,但部分軌跡段角加速度超出加速度約束值,。為進(jìn)一步提高其動(dòng)力學(xué)特性,對(duì)角加速度不滿足要求的軌跡段,根據(jù)加速度約束,,修正多項(xiàng)式最高階次數(shù),,并利用修正后的高階多項(xiàng)式進(jìn)行軌跡規(guī)劃。通過仿真結(jié)果對(duì)比,,該分段可變階多項(xiàng)式軌跡規(guī)劃方法能夠?qū)崿F(xiàn)更加平穩(wěn)連續(xù)的自主挖掘,。

    Abstract:

    A new path planning method was proposed for an excavator to finish the autonomous mining, which was aimed to make the trajectory smooth and continuous, and decrease vibration impact strength. According to the proposed method, the path in working space will be reasonably segmented, so that the calculation of the amount of calculation will be reduced as far as possible in order to ensure that the path deviation of the path planning result is not affected by the task completion, and the trajectory planning of each segment was computed respectively by using interpolation polynomial with variable order. A certain type of single bucket hydraulic excavator was taken as the research object. First of all, the mining path was separated into five segments which employed interpolation polynomial with high order of 3—3—5—3—3 successively in trajectory planning. The simulation was achieved by Matlab software. The result showed that the three curves for joint angle, angular velocity and angular acceleration were smooth and continuous, but some acceleration values in some segments exceeded the acceleration constraint. In order to improve the dynamics performance of the excavator’s working mechanism, the segments having odd values were computed afresh with modified trajectory polynomial of which the highest order was calculated in terms of the acceleration constraint. New curve which figured by the piecewise polynomial with variable order showed that the new trajectory planning could be of use for the stable and continuous operation in autonomous mining.

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李海虹,林貞國,杜娟,陳志恢.挖掘機(jī)自主挖掘分段可變階多項(xiàng)式軌跡規(guī)劃[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2016,47(4):319-325. Li Haihong, Lin Zhenguo, Du Juan, Chen Zhihui. Piecewise Polynomial with Variable Order in Trajectory Planning for Autonomous Mining[J]. Transactions of the Chinese Society for Agricultural Machinery,2016,47(4):319-325.

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  • 收稿日期:2015-09-14
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  • 在線發(fā)布日期: 2016-04-10
  • 出版日期: 2016-04-10
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