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Stability,Convergence of Harmonious Particle Swarm Optimizer and Its Application

Stability,Convergence of Harmonious Particle Swarm Optimizer and Its Application
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摘要 Particle swarm optimizer (PSO), a new evolutionary computation algorithm, exhibits good performance for optimization problems, although PSO can not guarantee convergence of a global minimum, even a local minimum. However, there are some adjustable parameters and restrictive conditions which can affect performance of the algorithm. The sufficient conditions for asymptotic stability of an acceleration factor and inertia weight are deduced in this paper. The value of the inertia weight w is enhanced to ( - 1, 1). Furthermore a new adaptive PSO algorithm--harmonious PSO (HPSO) is proposed and proved that HPSO is a global search algorithm. Finally it is focused on a design task of a servo system controller. Considering the existence of model uncertainty and noise from sensors, HPSO are applied to optimize the parameters of fuzzy PID controller. The experiment results demonstrate the efficiency of the methods. Particle swarm optimizer (PSO), a new evolutionary computation algorithm, exhibits good performance for optimization problems, although PSO can not guarantee convergence of a global minimum, even a local minimum. However, there are some adjustable parameters and restrictive conditions which can affect performance of the algorithm. The sufficient conditions for asymptotic stability of an acceleration factor and inertia weight are deduced in this paper. The value of the inertia weight w is enhanced to ( - 1, 1). Furthermore a new adaptive PSO algorithm--harmonious PSO (HPSO) is proposed and proved that HPSO is a global search algorithm. Finally it is focused on a design task of a servo system controller. Considering the existence of model uncertainty and noise from sensors, HPSO are applied to optimize the parameters of fuzzy PID controller. The experiment results demonstrate the efficiency of the methods.
出处 《Journal of Beijing Institute of Technology》 EI CAS 2008年第1期35-40,共6页 北京理工大学学报(英文版)
基金 Sponsored by the Teaching and Research Award Program for Outstanding Young Teacher in Higher Education Institute of MOE (20010248) Beijing Education Committee Coorperation Building Foundation
关键词 evolutionary computation particle swarm optimizer asymptotic stability global convergence fuzzy PID evolutionary computation particle swarm optimizer asymptotic stability global convergence fuzzy PID
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