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軌道最適化arXiv:1908.05380

残余力ポリトープ:動的軌道が発揮可能なタスク空間力の表現

Residual Force Polytope: Admissible Task-Space Forces of Dynamic Trajectories

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動的動作中にロボットが外力に抗して発揮できる力の集合を「残余力ポリトープ」として定式化し、軌道最適化の評価指標に応用して外乱に頑健な軌道が得られることを示した。

著者: Henrique Ferrolho, Wolfgang Merkt, Carlo Tiseo, Sethu Vijayakumar

分類: cs.RO

原文アブストラクト

We propose a representation for the set of forces a robot can counteract using full system dynamics: the residual force polytope. Given the nominal torques required by a dynamic motion, this representation models the forces which can be sustained without interfering with that motion. The residual force polytope can be used to analyze and compare the set of admissible forces of different trajectories, but it can also be used to define metrics for solving optimization problems, such as in trajectory optimization or system design. We demonstrate how such a metric can be applied to trajectory optimization and compare it against other objective functions typically used. Our results show that the trajectories computed by optimizing objectives defined as functions of the residual force polytope are more robust to unknown external disturbances. The computational cost of these metrics is relatively high and not compatible with the short planning times required by online methods, but they are acceptable for planning motions offline.

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