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群制御arXiv:1511.06982

安全性と性能のトレードオフ:ロバスト性能制約下でのロボット群の迅速展開

Trading Safety Versus Performance: Rapid Deployment of Robotic Swarms with Robust Performance Constraints

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ロボット群を期限までに各目標へ配置する問題で、速度と故障率の関係を考慮し、制約付きマルコフ決定過程とロバスト最適化により成功率を最大化する制御方策を求めた。

著者: Yin-Lam Chow, Marco Pavone, Brian M. Sadler, Stefano Carpin

分類: cs.RO, math.OC

原文アブストラクト

In this paper we consider a stochastic deployment problem, where a robotic swarm is tasked with the objective of positioning at least one robot at each of a set of pre-assigned targets while meeting a temporal deadline. Travel times and failure rates are stochastic but related, inasmuch as failure rates increase with speed. To maximize chances of success while meeting the deadline, a control strategy has therefore to balance safety and performance. Our approach is to cast the problem within the theory of constrained Markov Decision Processes, whereby we seek to compute policies that maximize the probability of successful deployment while ensuring that the expected duration of the task is bounded by a given deadline. To account for uncertainties in the problem parameters, we consider a robust formulation and we propose efficient solution algorithms, which are of independent interest. Numerical experiments confirming our theoretical results are presented and discussed.

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