Closed-form forward kinematics solutions of a 4-DOF parallel robot

Closed-form forward kinematics solutions of a 4-DOF parallel robot
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DOI:
10.1007/s12555-009-0520-1
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发表时间:
2009-10
期刊:
International Journal of Control, Automation and Systems
影响因子:
--
通讯作者:
Hee-Byoung Choi;A. Konno;M. Uchiyama
Hee-Byoung Choi;A. Konno;M. Uchiyama
中科院分区:
其他
文献类型:
--
作者:
Hee-Byoung Choi;A. Konno;M. Uchiyama

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众所周知,并联机器人的正运动学问题是一个非常困难的问题。封闭形式的正向运动学解决方案已被报道,只有少数特殊类别的并联机器人。本文给出了一种四自由度并联机器人H4的正运动学封闭解。推导了一个单变量的16阶多项式来求解H4的正运动学。多项式的16个根导致最多16个不同的正向运动学解。最后给出了数值验证。
It is well known that the forward kinematics of parallel robots is a very difficult problem. Closed-form forward kinematics solutions have been reported only to a few special classes of parallel robots. This paper presents closed-form forward kinematics solutions of a 4-DOF parallel robot H4. A 16th order polynomial in a single variable is derived to solve the forward kinematics of the H4. The 16 roots of the polynomial lead to at most 16 different forward kinematics solutions. A numerical verification is also presented.