The forward kinematics of the general Stewart mechanism is studied and a fast numerical method is presented. Quaternion is utilized to model the forward kinematics and the equations are merely a system of quadratic ones. The numerical method is a nice simplification of the Newton-Raphson method when applied to this system. A simulation of the movement control of the Stewart mechanism is accomplished, confirming the effectiveness of the proposed algorithm in real-time conditions.
Yang Xiaolong, Wu Hongtao*, Chen Bai, Zhu Liucun, Xun Junxiang. Fast Numerical Solution to Forward Kinematics of General Stewart Mechanism Using Quaternion[J]. Transactions of Nanjing University of Aeronautics & Astronautics,2014,31(4):377-385