Chaotic simulated PSO algorithm application research for Weibull distribution parameter estimation

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (12) : 134-139.

XU Wei，CHENG Gang，HUANG Lin,WEI Xiu Lei,WENG Lei

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Abstract

Aiming at the deficiency of three parameter Weibull distribution model in directly solving by means of accurate solution, the parameter estimation based on chaotic simulated annealing particle swarm optimization algorithm is proposed, and the Logistic chaos factor is introduced to adjust the update strategy of particle swarm optimization algorithm so as to fully release its ergodic search ability. The simulated annealing method is used to accept the new state with a certain probability according to the acceptance criteria of Tsallis, so that the algorithm can avoid premature convergence and realize the global optimal search. At the same time, in order to reduce the time of iterative calculation, the initial solution obtained by the graphic method is used to provide the search scope. The method is applied to the reliable Weibull distribution parameter estimation of bearing rotor. Experimental results show that the method is feasible and effective and has better optimization performance compared with genetic algorithm and simulated particle swarm optimization algorithm.

Key words

Chaos / Simulated Annealing / PSO / Weibull distribution / Parameter estimation

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XU Wei，CHENG Gang，HUANG Lin,WEI Xiu Lei,WENG Lei. Chaotic simulated PSO algorithm application research for Weibull distribution parameter estimation[J]. Journal of Vibration and Shock, 2017, 36(12): 134-139

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