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arXiv 2109.12427cs.RO
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基于搜索的运动规划中改进的软重复检测

Improved Soft Duplicate Detection in Search-Based Motion Planning

Department of Computer Science, Texas State University(德克萨斯州立大学计算机科学系);Robotics Institute, Carnegie Mellon University(卡内基梅隆大学机器人研究所)

Nader Maray, Anirudh Vemula, Maxim Likhachev

摘要:

基于搜索的技术已经在运动规划问题中取得了巨大的成功,例如通过离散化状态空间和预先计算运动基元的机器人导航。然而,在具有复杂动态约束的领域中,在离散状态空间中构造运动基元是不平凡的。这需要在连续空间中操作,这对于基于搜索的规划者来说可能是一个挑战,因为他们可能会陷入局部极小区域。以前在连续空间中规划的工作引入了软重复检测,其需要搜索来计算相对于先前看到的状态的状态的重复性,以避免探索可能是重复的状态,特别是在局部极小区域中。他们提出了一个简单的度量,利用状态之间的欧几里得距离和障碍物的接近度来计算重复性。在本文中,我们改进了这个度量引入一个kinodynamically知情的度量,子树重叠,两个国家之间的相似性,可以在一个固定的时间范围内使用kinodynamic运动原语达到他们的继任者。这捕获了这样的直觉:由于机器人动力学,重复状态可以在欧几里得距离上很远,并且导致非常相似的后继状态,而非重复状态可以很近,并且导致非常不同的后继状态。

英文摘要:

Search-based techniques have shown great success in motion planning problems such as robotic navigation by discretizing the state space and precomputing motion primitives. However in domains with complex dynamic constraints, constructing motion primitives in a discretized state space is non-trivial. This requires operating in continuous space which can be challenging for search-based planners as they can get stuck in local minima regions. Previous work on planning in continuous spaces introduced soft duplicate detection which requires search to compute the duplicity of a state with respect to previously seen states to avoid exploring states that are likely to be duplicates, especially in local minima regions. They propose a simple metric utilizing the euclidean distance between states, and proximity to obstacles to compute the duplicity. In this paper, we improve upon this metric by introducing a kinodynamically informed metric, subtree overlap, between two states as the similarity between their successors that can be reached within a fixed time horizon using kinodynamic motion primitives. This captures the intuition that, due to robot dynamics, duplicate states can be far in euclidean distance and result in very similar successor states, while non-duplicate states can be close and result in widely different successors.

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