变论域模糊PID磁悬浮轴承控制系统仿真

摘要

Magnetic levitating bearing is nonlinear and uncertainty, and the traditional PID control and fuzzy PID control algorithm is not good enough to meet the requirements of the magnetic levitating bearing control system. So, based on the idea of variable universe method, this paper puts forward the theory of variable universe fuzzy PID algorithm-by selecting the right expansion factor to realize domain contraction, it can increase the fuzzy control rules, so as to improve the control precision. The simulation a-nalysis result of the magnetic levitating bearing control system based on SIMULINK show that the variable universe fuzzy PID algorithm improve the control accuracy,the dynamic performance and the static performance.%磁悬浮轴承具有非线性、数学模型不确定的特点,传统PID控制及模糊PID控制算法不能很好地满足磁悬浮轴承控制系统的要求；针对这个问题,结合变论域的思想方法,提出了变论域模糊PID算法——通过选择合适的伸缩因子实现论域的收缩,即增加了模糊控制规则,从而提高控制精度；在SIMULINK环境中对磁悬浮轴承控制系统进行仿真分析,验证了变论域模糊PID控制算法提高了控制精度,具有更小的超调,更快的调节速度,系统静态性能也有很大的改善.