Symbolic factorization of inertia matrix for space robot simulation

S. Saha
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Abstract

In the simulation of a space robot, factorization of its inertia matrix is necessary to solve for the joint accelerations. Usually this factorization is done numerically. For that, the computational complexity is cubic in the degrees of freedom (DOF) of the system at hand. In this paper, a symbolic factorization of the inertia matrix is presented. This allows one to calculate the joint accelerations with the complexity that is linear in the DOF. The approach is originally introduced for the simulation of fixed-base industrial manipulators. Here, the method is extended to serial type space robots.
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空间机器人仿真惯量矩阵的符号分解
在空间机器人仿真中,求解关节加速度需要对其惯量矩阵进行分解。通常这种分解是用数值方法完成的。因此,计算复杂度在系统的自由度(DOF)中是三次的。本文给出了惯性矩阵的符号分解。这样就可以计算关节加速度在自由度上是线性的。该方法最初是为固定基座工业机械臂的仿真而引入的。在此,将该方法推广到串行型空间机器人。
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