The Skew-Symmetric Property of the Newton-Euler Formulation for Constrained Multibody Systems
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Abstract This paper proposes a special form of the recursive Newton-Euler formulation that satisfies the skew-symmetric property, which is a necessary condition to ensure global convergence in a class of regressor-based identification and adaptive control (Slotine, 1987a & 1987b; Craig, 1987). For general multibody systems, such a special form has been developed in a reduced Euler-Lagrange formulation, but not in the Newton-Euler formulation, which has been very popular in the computational analysis of large scale systems. The paper successfully constructs a pair of inertia and Coriolis-centrifugal matrices for a “skew-symmetric” recursive Newton-Euler formulation, which can be used in both dynamics simulations and control applications.
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1978 ◽
Vol 23
(2)
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pp. 173-182
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1987 ◽
Vol E-30
(1)
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pp. 9-13
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2020 ◽
Vol 357
(14)
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pp. 10010-10026
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1982 ◽
Vol 4
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pp. 29-36
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