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力学系学習arXiv:2003.11290

学習した力学系の安定性を保証するエネルギー論的アプローチ

An Energy-based Approach to Ensure the Stability of Learned Dynamical Systems

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任意の回帰手法で学習した力学系に対し、実行時にエネルギー的補正を加えて安定性を確保しつつ、訓練データから初期エネルギーを推定して再現精度を保つ手法を提案した。

著者: Matteo Saveriano

分類: cs.RO, cs.SY, eess.SY

原文アブストラクト

Non-linear dynamical systems represent a compact, flexible, and robust tool for reactive motion generation. The effectiveness of dynamical systems relies on their ability to accurately represent stable motions. Several approaches have been proposed to learn stable and accurate motions from demonstration. Some approaches work by separating accuracy and stability into two learning problems, which increases the number of open parameters and the overall training time. Alternative solutions exploit single-step learning but restrict the applicability to one regression technique. This paper presents a single-step approach to learn stable and accurate motions that work with any regression technique. The approach makes energy considerations on the learned dynamics to stabilize the system at run-time while introducing small deviations from the demonstrated motion. Since the initial value of the energy injected into the system affects the reproduction accuracy, it is estimated from training data using an efficient procedure. Experiments on a real robot and a comparison on a public benchmark shows the effectiveness of the proposed approach.

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