关键词: 粒子群算法, 随机递推, 过早收敛, 随机扰动

Abstract: Based on the theory of stochastic recursion process, this paper studies the convergence of the particle swarm optimization algorithm, The parameters of the algorithm and the related conditions are given. Then an improved algorithm with stochastic approximation （RSPSO） is proposed. Simulation results show that RSPSO can effectively avoid the premature convergence and possess more powerful global search capabilities, better performance of optimization.

Key words: Particle Swarm Optimization（PSO）, stochastic recursion, premature convergence, stochastic disturbance