模糊控制理论在有源磁悬浮系统中的应用

Application of fuzzy control theory in active magnetic suspension system

建立了陀螺浮子磁悬浮数学模型,对该系统进行了MATLAB仿真并分析了该系统的刚度和阻尼特性。在此基础上,计算了满足刚度和阻尼特性的PID控制器参数,仿真结果表明,基于刚度和阻尼特性的PID控制器能够基本满足系统的要求,但响应时间过长。因此进行了模糊控制理论在磁悬浮系统中的研究,提出了模糊-PID控制。以经典PID控制器参数为参考,建立了模糊控制隶属度函数,设计了模糊控制表格,并对模糊-PID控制器在该系统中的应用进行了仿真研究,仿真结果表明,建立在经典PID控制器基础上的模糊-PID控制能够得到较好的稳态特性和动态性能,鲁棒性也得到增强,能够在一定程度上提高液浮陀螺仪的精度和抗干扰能力。

A mathematical model of gyro float active magnetic suspension is established, and the MATLAB simulation, the analysis of system stiffness, and the damping characteristics are made. On this basis, the PID controller parameters are calculated which meet the stiffness and damping requirements. The simulation results show that, based on the stiffness and damping characteristics of the PID controller, they can basically meet the system requirements, but the response time is too long. Therefore, the theory of the fuzzy control is proposed. By using Classical PID controller parameters as reference, the establishment of membership function of fuzzy control is made. Further more, fuzzy control table is designed. At last, the paper makes MATLAB simulation of the fuzzy PID controller in the system. Simulation results show that the fuzzy PID controller based on the classic PID controller can achieve better steady-state characteristics, and the dynamic performance and the robustness have also been enhanced to a certain extent. Above that, the accuracy of liquid floating gyroscopes and anti-jamming capability are also improved.