This paper introduces a new adaptive integration method for solving the multi-contact problems in MuJoCo (Multi-Joint Dynamics with Contact). The proposed method is based on the classical embedded Runge-Kutta formulas and automatic step-size control. In addition, the transitions of contact states are carefully handled and the high-order convergence of solutions is achieved. We tested our algorithm on an 18-DOF quadruped robot with at most four contacts. The simulation results show an improvement in computational accuracy of one to two orders of magnitude, compared to the officially implemented semi-implicit Euler method and the Runge-Kutta method of order four.

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High-Order Adaptive Integration of Contact Dynamics in MuJoCo

  • Hongchen Li,
  • Ye Ding

摘要

This paper introduces a new adaptive integration method for solving the multi-contact problems in MuJoCo (Multi-Joint Dynamics with Contact). The proposed method is based on the classical embedded Runge-Kutta formulas and automatic step-size control. In addition, the transitions of contact states are carefully handled and the high-order convergence of solutions is achieved. We tested our algorithm on an 18-DOF quadruped robot with at most four contacts. The simulation results show an improvement in computational accuracy of one to two orders of magnitude, compared to the officially implemented semi-implicit Euler method and the Runge-Kutta method of order four.