arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.08444cs.RO
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基于对偶四元数代数的移动机械手动力学

Dynamics of Mobile Manipulators using Dual Quaternion Algebra

Federal University of Minas Gerais(米纳斯吉拉斯联邦大学);The University of Manchester(曼彻斯特大学)

Frederico F. A. Silva, Juan J. Quiroz-Omaña, Bruno V. Adorno

摘要:

提出了两种利用对偶四元数代数求解移动机械臂动力学方程的方法。第一个是基于一般递归牛顿-欧拉公式,并使用扭曲和扳手,这是通过高级代数运算传播,适用于任何类型的关节和任意参数化。第二种方法是基于高斯的最小约束原则(GPLC),包括任意的等式约束。除了显示GPLC与吉布斯-Appell和凯恩的方程的连接,我们用它来建模非完整移动机械手。我们目前的配方是更一般的比他们的同行在最先进的,虽然GPLC是更昂贵的计算,模拟结果表明,他们是作为经典的递归牛顿-欧拉算法的准确性。

英文摘要:

This paper presents two approaches to obtain the dynamical equations of mobile manipulators using dual quaternion algebra. The first one is based on a general recursive Newton-Euler formulation and uses twists and wrenches, which are propagated through high-level algebraic operations and works for any type of joints and arbitrary parameterizations. The second approach is based on Gauss's Principle of Least Constraint (GPLC) and includes arbitrary equality constraints. In addition to showing the connections of GPLC with Gibbs-Appell and Kane's equations, we use it to model a nonholonomic mobile manipulator. Our current formulations are more general than their counterparts in the state of the art, although GPLC is more computationally expensive, and simulation results show that they are as accurate as the classic recursive Newton-Euler algorithm.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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