基于HPSO优化的磁悬浮系统分数阶控制

Fractional-order Control of Magnetic Levitation System based on Hybrid Particle Swarm Optimization

针对磁悬浮系统的非线性以及开环不稳定的特点,提出一种分数阶PI~λD~μ控制器控制磁悬浮系统的方法.首先建立系统的数学模型,然后设计分数阶PI~λD~μ控制器,并建立控制系统的仿真模型,最后应用遗传算法与粒子群算法相结合的混合粒子群算法优化分数阶PI~λD~μ控制器的k_p、k_i、k_d、λ、μ参数,采用改进的误差绝对值时间积分函数作为优化目标,对系统进行多种信号的仿真跟踪.结果表明,分数阶PI~λD~μ控制器收敛速度快,鲁棒性强,达到了预期的控制效果.

To solve problems with nonlinear and open loop instability of a magnetic levitation system,an approach to controlling such a system using fractional-order PIλDμcontroller is proposed.A mathematical model for the system is firstly built,fractional-order PIλDμcontroller is then designed,and a simulation model for control system is established.Finally,a hybrid particle swarm optimization(HPSO)is used to tune fractional-order PIλDμcontroller parameters.The function based on integral of time-weighted absolute error(ITAE)is considered an optimization objective,and the various signals of the system is simulated and tracked.The simulation results show that the fractional-order PIλDμcontroller is fast in convergence with remarkable control effect,thus achieving the anticipative effect.