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arXiv 2208.06331cs.RO
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一种基于尺度优化的整体碰撞评估线性精确算法

A Linear and Exact Algorithm for Whole-Body Collision Evaluation via Scale Optimization

Zhejiang University(浙江大学);Huzhou Institute of Zhejiang University(浙江大学湖州研究院)

Qianhao Wang, Zhepei Wang, Liuao Pei, Chao Xu, Fei Gao

摘要:

碰撞评估在各种应用中至关重要。然而,现有的方法要么计算繁琐,要么与实际值有差距。在本文中,我们提出了一个零间隙的全身碰撞评估,它可以制定为一个低维线性规划。这个评估可以在O(m)计算时间内解析求解,其中m是这个线性规划中的线性不等式的总数。此外,所提出的方法是有效的,在获得其梯度,使其易于适用于优化为基础的应用程序。

英文摘要:

Collision evaluation is of vital importance in various applications. However, existing methods are either cumbersome to calculate or have a gap with the actual value. In this paper, we propose a zero-gap whole-body collision evaluation which can be formulated as a low dimensional linear program. This evaluation can be solved analytically in O(m) computational time, where m is the total number of the linear inequalities in this linear program. Moreover, the proposed method is efficient in obtaining its gradient, making it easy to apply to optimization-based applications.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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