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arXiv 2210.04813cs.FLcs.ROcs.SYeess.SY
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基于信号时序逻辑的运动规划的随机鲁棒性区间

Stochastic Robustness Interval for Motion Planning with Signal Temporal Logic

University of Colorado Boulder(科罗拉多大学博尔德分校)

Roland B. Ilyes, Qi Heng Ho, Morteza Lahijanian

AI总结:

本文提出一种针对STL规范的连续时间随机轨迹鲁棒性度量及其监控器,并基于此开发了不确定性下机器人的采样运动规划算法,证明了概率完备性与渐近最优性。

摘要:

在这项工作中,我们针对信号时序逻辑(STL)规范,提出了一种新颖的连续时间随机轨迹鲁棒性度量。我们证明了该度量的可靠性,并开发了一个用于对部分轨迹进行推理的监控器。利用该监控器,我们引入了一种基于STL采样的运动规划算法,用于不确定性下的机器人。在给定最小鲁棒性要求的情况下,该算法能够找到满足要求的运动规划;或者,该算法也可以针对该度量进行优化。我们证明了概率完备性和渐近最优性,并通过多个案例研究展示了我们方法的有效性。

英文摘要:

In this work, we present a novel robustness measure for continuous-time stochastic trajectories with respect to Signal Temporal Logic (STL) specifications. We show the soundness of the measure and develop a monitor for reasoning about partial trajectories. Using this monitor, we introduce an STL sampling-based motion planning algorithm for robots under uncertainty. Given a minimum robustness requirement, this algorithm finds satisfying motion plans; alternatively, the algorithm also optimizes for the measure. We prove probabilistic completeness and asymptotic optimality, and demonstrate the effectiveness of our approach on several case studies.

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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