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群制御arXiv:2402.16690

CVaR制約を用いた大規模ロボット群のリスク考慮型非近視眼的動作計画

Risk-Aware Non-Myopic Motion Planner for Large-Scale Robotic Swarm Using CVaR Constraints

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ロボット群のマクロ状態をガウス混合モデルで表し、CVaR制約を組み込んだ有限時間モデル予測制御により、混雑環境でも安全に大規模群を誘導する動作計画手法を提案した。

著者: Xuru Yang, Yunze Hu, Han Gao, Kang Ding, Zhaoyang Li, Pingping Zhu, Ying Sun, Chang Liu

分類: cs.RO

原文アブストラクト

Swarm robotics has garnered significant attention due to its ability to accomplish elaborate and synchronized tasks. Existing methodologies for motion planning of swarm robotic systems mainly encounter difficulties in scalability and safety guarantee. To address these limitations, we propose a Risk-aware swarm mOtion planner using conditional ValuE at Risk (ROVER) that systematically navigates large-scale swarms through cluttered environments while ensuring safety. ROVER formulates a finite-time model predictive control (FTMPC) problem predicated upon the macroscopic state of the robot swarm represented by a Gaussian Mixture Model (GMM) and integrates conditional value-at-risk (CVaR) to ensure collision avoidance. The key component of ROVER is imposing a CVaR constraint on the distribution of the Signed Distance Function between the swarm GMM and obstacles in the FTMPC to enforce collision avoidance. Utilizing the analytical expression of CVaR of a GMM derived in this work, we develop a computationally efficient solution to solve the non-linear constrained FTMPC through sequential linear programming. Simulations and comparisons with representative benchmark approaches demonstrate the effectiveness of ROVER in flexibility, scalability, and risk mitigation.

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