同伦算法在并联机器人运动学中的应用

讨论同伦算法求解并联机器人运动学正问题。通过参系数同伦法大大减少了跟踪路径的数目，从而提高了同伦算法的效率使之对求解一般非线性代数方程组更为可行。采用这一算法，求出了中科院沈阳自动化研究所机器人开放研究实验室的新型并联机器人模型的全部正解，为新模型的机构分析和实时控制提供了理论依据。

Continuation method solving forward kinematics problem of parallel robot was discussed. And through a coefficient_parameter continuation method the efficiency and feasibility of continuation method were improved. Using this method all forward solutions of a new parallel robot model which was put forward lately by Robot Open Laboratory of Science Institute of China were obtained. Therefore it provided the basis of mechanism analysis and real_time control for new model.

国家自然科学基金资助项目 (1970 10 0 6 );; 教育部普通高等学校骨干教师资助计划;; 辽宁省、沈阳市科学基金资助项目