Using Genetic Algorithms to Solve Sub-Link-s Parameters of Flexible Link
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摘要: 研究了应用实数型的遗传算法解决柔性机器人子杆法建模中,子杆模型参数的优化求解问题.子杆模型参数形成高度非线性的方程组,它的求解是子杆法能否实现的关键.普通的牛顿迭代法及其变形,要求初始向量足够靠近解,一些所谓大范围收敛的算法又有方程组的Jacobian矩阵非奇异等要求,在此都难以应用.本文基于遗传算法的解法可求得模型参数的最优解,实例仿真显示了这一方法的可行性和高效率.Abstract: A genetic algorithm of real number type is used to solve the equations of the sub-link-s parameters when modeling a flexible robot manipulator with the sub-links approach. It is the key of successfully using the sub-links approach that how to solve the equations of the sub-link-s parameters. However, the set of equations is high non-linear. The general solving approach is hardly fit for it because of lack of initial vector that enough close to the solution. Some approach possessed the ability of large-scale convergence is failing too because of the singularity of the Jacobian matrix of the equations. The proposed approach based on genetic algorithm can smoothly solve the equations by optimization method that replace some complicated symbolic calculation by solving simple algebra equations. Then the validity and high efficiency of the proposed approach are showed by a practical example.
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Key words:
- optimization /
- flexible structures /
- robots /
- genetic algorithms(GA) /
- non-linear equations
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[1] Tsuneo Y, Koh H. Modeling of flexible manipulators using virtual rigid links and passive joints[J]. Robotics Research, 1996,15(3):290~299. [2] 吴立成,陆 震,于守谦,等.一种柔性机器人的子杆法建模方法[J]. 机器人,2000,22(5):344~349. [3] 刘 勇,康立山,陈毓平. 非数值并行算法(第二册)——遗传算法[M]. 北京:科学出版社,1998.86~96. [4] Man K F, Tang K S, Kwong S. Genetic algorithms:concepts and applications . IEEE Trans on Industrial Electronics,1996, 43(5):519~534.
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