CENIC: 接触のための凸誤差制御数値積分
CENIC: Convex Error-controlled Numerical Integration for Contact
接触を含む剛体シミュレーションを連続時間で誤差制御しながら高速に積分する手法CENICを提案し、MuJoCo等と同等のリアルタイム性能と精度保証を両立した。
詳しい要約
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著者: Vince Kurtz, Alejandro Castro
分類: cs.RO, cs.CE, physics.comp-ph
原文アブストラクト
State-of-the-art robotics simulators operate in discrete time. This requires users to choose a time step, which is both critical and challenging: large steps can produce non-physical artifacts, while small steps force the simulation to run slowly. Continuous-time error-controlled integration avoids such issues by automatically adjusting the time step to achieve a desired accuracy. But existing error-controlled integrators struggle with the stiff dynamics of contact, and cannot meet the speed and scalability requirements of modern robotics workflows. We introduce CENIC, a new continuous-time integrator that brings together recent advances in convex time-stepping and error-controlled integration, inheriting benefits from both continuous integration and discrete time-stepping. CENIC runs at fast real-time rates comparable to discrete-time robotics simulators like MuJoCo, Drake and Isaac Sim, while also providing guarantees on accuracy and convergence.
