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基于自適應(yīng)步長(zhǎng)RRT的雙機(jī)器人協(xié)同路徑規(guī)劃
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國(guó)防預(yù)先研究項(xiàng)目(41404060201)


Cooperation Path Planning of Dual-robot Based on Self-adaptive Stepsize RRT
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    摘要:

    針對(duì)快速隨機(jī)擴(kuò)展樹(shù)(Rapidly exploringrandom tree,RRT)方法的步長(zhǎng)確定過(guò)分依賴于程序調(diào)試,需耗費(fèi)大量時(shí)間,且固定步長(zhǎng)存在碰撞檢測(cè)失效問(wèn)題,提出了自適應(yīng)步長(zhǎng)RRT方法。通過(guò)建立構(gòu)型空間與工作空間的范數(shù)相容不等式,把工作空間中產(chǎn)生的步長(zhǎng)約束在允許范圍內(nèi),進(jìn)而實(shí)現(xiàn)有效的碰撞檢測(cè);提出了隨機(jī)樹(shù)被動(dòng)生長(zhǎng)方法,實(shí)現(xiàn)了雙機(jī)器人在各自構(gòu)型空間中的協(xié)同路徑規(guī)劃。仿真對(duì)比結(jié)果表明,采用自適應(yīng)步長(zhǎng)RRT方法進(jìn)行雙機(jī)器人路徑規(guī)劃時(shí),隨機(jī)樹(shù)的每一次生長(zhǎng)所產(chǎn)生的位移不超過(guò)設(shè)定值,保證了碰撞檢測(cè)的有效性,相比傳統(tǒng)的固定步長(zhǎng)RRT,自適應(yīng)步長(zhǎng)RRT方法無(wú)需多次調(diào)試就能確定步長(zhǎng),提高了機(jī)器人的路徑規(guī)劃速度。

    Abstract:

    An appropriate stepsize is required to be set up when using rapidly exploringrandom tree (RRT) to perform path planning of a robot, 〖JP2〗which needs user to proceed debugging the program and it’sgenerally timeconsuming, also a fixed stepsize in RRT always resulting in invalid collisiontest. Aiming at solving the above problems existing in RRT, a selfadaptive stepsize RRT was proposed. The matrix operator norm induced from configuration space norm and work space norm was founded based on Jacobi matrix and the norm inequality of configuration space and work space was established, by the means of which the displacement of robot caused by each stepsize in configuration space was limited in allowed magnitude which validated collision test. In order to coordinate dualrobot, passive growing of random tree algorithm was put forward. The algorithm can control the growth of random tree of dualrobot in different configuration spaces, and then the motion of dualrobot was coordinated to ensure generating cooperation path in work space. Numerical experiment indicated that the selfadaptive stepsize RRT can bound the displacement of each step within the value set up at beginning of algorithm which guaranteed the effectiveness of collision test. Compared with standard fixed stepsize RRT, selfadaptive stepsize RRT omitted the process of determining stepsize only needed to set maximum value of stepsize in work space which improved the efficiency of path planning. The algorithm proposed can provide a new perspective on the path planning of dualarm robot.

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李洋,徐達(dá),周誠(chéng).基于自適應(yīng)步長(zhǎng)RRT的雙機(jī)器人協(xié)同路徑規(guī)劃[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2019,50(3):358-367. LI Yang, XU Da, ZHOU Cheng. Cooperation Path Planning of Dual-robot Based on Self-adaptive Stepsize RRT[J]. Transactions of the Chinese Society for Agricultural Machinery,2019,50(3):358-367.

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  • 收稿日期:2018-09-12
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  • 在線發(fā)布日期: 2019-03-10
  • 出版日期: 2019-03-10
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