摘要
为了改善磁浮系统的非线性和不稳定性特点,利用微分几何方法将两个不同结构的非线性子系统转化为两个相同结构的线性子系统,设计了基于标准粒子群算法的比例积分微分控制器.从固定惯性权重、线性递减惯性权重和线性微分递减惯性权重中,选出适合电磁铁1和电磁铁2的固定惯性权重,得到电磁铁1控制器的固定惯性权重参数C为0.5,电磁铁2控制器的固定惯性权重参数C为0.49,并且通过建立模糊综合评价模型得出优化后的电磁铁1和电磁铁2的控制器抗干扰的能力是"好",且"好"的隶属度皆为0.561 9.实验结果表明,优化后的磁浮系统具有较好的鲁棒性.
In order to improve the nonlinear and unstable characteristics of maglev systems, two nonlinear subsystems with different structures were transformed into linear ones with the same structure by differential geometry method, and then a PID controller that is based on the standard particle swarm optimization (PSO) was built. For the PSO algorithm, the fixed inertia weight ( FIW), linear descend inertia weight (LIW), and linear differential descend inertia weight (LDW) were comparatively studied through simulation; among them the FIW was found more suitable and hence selected for electromagnet 1 and electromagnet 2. After optimization of controller parameters, the value of the FIW parameter C for electromagnets 1 and 2 was set to 0.5 and 0.49, respectively. In addition, a fuzzy comprehensive evaluation model was built to evaluate the anti-interference performance of the electromagnets 1 and 2, revealing that the two electromagnets both have a good anti-interference ability, and the membership degree of " good" is O. 561 9. Experimental results show that the optimized maglev system has a fairly good robustness.
出处
《西南交通大学学报》
EI
CSCD
北大核心
2015年第1期36-43,共8页
Journal of Southwest Jiaotong University
基金
四川省科技支撑计划资助项目(2012GZ0103)
教育部新世纪优秀人才支持计划资助项目(NCET-11-0712)
关键词
磁浮系统
微分几何
比例积分微分控制器
粒子群优化算法
模糊综合评价
maglev system
differential geometry
proportional-integral-differential controller
particle swarm optimization algorithm
fuzzy comprehensive evaluation
作者简介
宋荣荣(1979-),女,副教授,博士研究生,研究方向为泛函分析和智能控制,电话:18080043932,E-mail:smissmwh@163.com