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Collision-free motion planning for fiber positioner robots: discretization of velocity profiles

机译:光纤定位器机器人的无碰撞运动规划:   速度剖面的离散化

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摘要

The next generation of large-scale spectroscopic survey experiments such asDESI, will use thousands of fiber positioner robots packed on a focal plate. Inorder to maximize the observing time with this robotic system we need to movein parallel the fiber-ends of all positioners from the previous to the nexttarget coordinates. Direct trajectories are not feasible due to collision risksthat could undeniably damage the robots and impact the survey operation andperformance. We have previously developed a motion planning method based on anovel decentralized navigation function for collision-free coordination offiber positioners. The navigation function takes into account the configurationof positioners as well as their envelope constraints. The motion planningscheme has linear complexity and short motion duration (~2.5 seconds with themaximum speed of 30 rpm for the positioner), which is independent of the numberof positioners. These two key advantages of the decentralization designate themethod as a promising solution for the collision-free motion-planning problemin the next-generation of fiber-fed spectrographs. In a framework where acentralized computer communicates with the positioner robots, communicationoverhead can be reduced significantly by using velocity profiles consisting ofa few bits only. We present here the discretization of velocity profiles toensure the feasibility of a real-time coordination for a large number ofpositioners. The modified motion planning method that generates piecewiselinearized position profiles guarantees collision-free trajectories for all therobots. The velocity profiles fit few bits at the expense of highercomputational costs.
机译:下一代大规模光谱调查实验(例如DESI)将使用装在聚焦板上的数千个光纤定位器机器人。为了使这种机器人系统的观察时间最大化,我们需要将所有定位器的光纤末端从上一个目标坐标平行移动到下一个目标坐标。由于可能会不可避免地损坏机器人并影响测量操作和性能的碰撞风险,直接轨迹是不可行的。我们先前已经开发了一种基于anovel分散导航功能的运动计划方法,用于无冲突协调离位定位器。导航功能考虑了定位器的配置及其包络约束。运动计划方案具有线性复杂度和较短的运动持续时间(〜2.5秒,定位器的最大速度为30 rpm),与定位器的数量无关。分散化的这两个主要优点将方法指定为解决下一代光纤馈电光谱仪中无碰撞运动计划问题的有希望的解决方案。在集中式计算机与定位器机器人进行通信的框架中,通过使用仅由几位组成的速度曲线可以显着减少通信开销。我们在这里提出速度分布的离散化,以确保针对大量定位器进行实时协调的可行性。生成分段线性化位置轮廓的改进的运动计划方法可确保所有机器人的无碰撞轨迹。速度分布图拟合得很少,但以较高的计算成本为代价。

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