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Drawbacks and alternatives to the numerical calculation of the base inertial parameters expressions for low mobility mechanisms

2017/06/28 by Xabier Iriarte, Javier Ros, Iriarte, Xabier +7
Engineering · #70E55 #Engineering Technology and Methodologies #FOS: Computer and information sciences #Mechanics and Biomechanics Studies #Robotics (cs.RO)

paper · pdf · doi:10.48550/arxiv.1706.09153

openalex publication_date 2017/06/28 · openalex created_date 2017/07/14 · openalex updated_date 2026/07/28

Abstract

Base inertial parameters constitute a minimal inertial parametrization of mechanical systems that is of interest, for example, in parameter estimation and model reduction. Numerical and symbolic methods are available to determine their expressions. In this paper the problems associated with the numerical determination of the base inertial parameters expressions in the context of low mobility mechanisms are analyzed and discussed through and example. To circumvent these problems two alternatives are proposed: a variable precision arithmetic implementation of the customary numerical algorithm and the application of a general symbolic method. Finally, the advantages of both approaches compared to the numerical one are discussed in the context of the proposed low mobility example.

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