针对非线性极大极小问题目标函数不可微的特点,提出了一种混沌万有引力搜索算法的求解方法。该算法采用基于万有引力定律的优化机制引导群体进行全局探索,并基于混沌运动的随机性、遍历性和规律性特点,利用混沌优化对当前最优位置进行精细搜索,有效抑制算法早熟收敛现象,提高优化性能。数值实验结果表明,该算法具有计算精度高、数值稳定性好等特点。
Considering the character of the non-differentiation of objective function in nonlinear minimax problems,proposed achaos gravitational search algorithm.Used an optimization mechanism based on the law of gravitation to search the global optimal solution.Based on the randomicity,ergodicity and regularity properties of chaos,fine search was carried out by chaos optimization,which could avoid the premature convergence and improve the optimal performance.The simulation results show that the method has the advantages of high computing precision and good numerical stability.