动态交互作用下的粒子群优化算法收敛性分析

Convergence Analysis of Particle Swarm Optimization Algorithm Based on Dynamic Interactivity

针对粒子群优化(particle swarm optimization,PSO)算法的收敛性分析忽略了最优粒子间的动态交互更新过程的不足,提出运用z变换域方法分析动态交互作用下粒子群优化算法的收敛性,得出了算法的收敛区域,扩展了参数的收敛范围,弱化了参数的收敛条件。测试函数的实验仿真验证了分析结论的正确性,为PSO算法参数选择提供了依据。

Convergence analysis of the dynamic interaction process between optimal particles is neglected in the existing parti -cle swarm optimization (PSO) algorithm.The convergence analysis based on dynamic interaction characteristics has been conduc -ted in terms of ztransform domain method.The convergence range of the algorithm is determined , and the sufficient condition of parameters is weaken.The conclusion has been verified based on simulation result of test function , and parameters selection of PSO have been provided.