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Exploiting Sparsity in Operational-space Dynamics

delete2010-01-08
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Roy Featherstone *
DOI:10.1177/0278364909357644delete
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摘要

摘要

En 中文
This paper presents a new method for calculating operational-space inertia matrices, and other related quantities, for branched kinematic trees. It is based on the exploitation of branch-induced sparsity in the joint-space inertia matrix and the task Jacobian. Detailed cost figures are given for the new method, and its efficacy is demonstrated by means of a realistic example based on the ASIMO Next-Generation humanoid robot. In this example, the new method is shown to be 6.7 times faster than the basic matrix method, and 1.6 times faster than the efficient low-order algorithm of Rodriguez et al. Furthermore, cost savings of more than 50,000 arithmetic operations are obtained in the calculation of the inertia-weighted pseudoinverse of the task Jacobian and its null-space projection matrix. Additional examples are considered briefly, in order to further compare the new method with the algorithm of Rodriguez et al.
Keyword:
brain-induced sparsity
operational-space intertia
humanoids
robot dynamics
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期刊

International Journal of Robotics Research 封面图
International Journal of Robotics Research
IF:
5
论文数:
2.4K
被引数:
1.5W

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