基于多维可视化的电磁轴承-柔性转子系统多目标优化控制  

Multi⁃objective optimal control of active magnetic bearing flexible rotor system based on multi⁃dimensional visualization

作　　者：程柳峰 陈亮亮 靳晓光 伍家驹[1] 郭至城 李志农[2] CHENG Liufeng;CHEN Liangliang;JIN Xiaoguang;WU Jiaju;GUO Zhicheng;LI Zhinong(College of Information Engineering,Nanchang Hangkong University,Nanchang 330063,China;Key Laboratory of Nondestructive Testing Technology,Ministry of Education,Nanchang Hangkong University,Nanchang 330063,China)

机构地区：[1]南昌航空大学信息工程学院,南昌330063 [2]南昌航空大学无损检测技术教育部重点实验室,南昌330063

出　　处：《振动与冲击》2025年第4期40-51,117,共13页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(12062014);江西省教育厅科技项目(GJJ2201129)。

摘　　要：为有效抑制电磁轴承-柔性转子系统的振动,该研究提出一种基于多维可视化的电磁轴承-柔性转子系统多目标优化控制策略。首先,通过有限元方法搭建电磁轴承-柔性转子系统数学模型,并采用模态截断法对该系统进行降阶,以减小状态变量个数,便于控制器设计。接着,设计Luenberger全维状态观测器,将传感器处位移转换为电磁轴承处位移,解决传感器与电磁轴承不同位问题,接下来利用状态反馈解耦法将多变量强耦合的电磁轴承-柔性转子系统转化为4个彼此独立的单输入单输出子系统。在此基础上,以控制系统超调量、调节时间及振动幅值为优化目标,以系统稳定、轴承气隙为约束条件,采用多维可视化法对解耦后子系统的控制器参数进行多目标寻优,得到控制参数P、D的最优可行域。最后,搭建仿真模型对本文提出的控制算法的性能进行验证。结果表明,提出的控制算法能够有效抑制电磁轴承-柔性转子系统振动,具有稳定性好、超调量小、调节时间短、抗干扰能力强的特点。In order to effectively suppress the vibration of active magnetic bearing flexible rotor system,a multi⁃objective optimal control strategy of active magnetic bearing flexible rotor system based on multi⁃dimensional visualization was proposed.Firstly,the mathematical model of active magnetic bearing flexible rotor system was built by the finite element method,and the modal truncation method was used to lower the order of the system to reduce the number of state variables and facilitate the controller design.Then,a Luenberger full⁃dimensional state observer was designed to convert the displacement at the sensor position into the displacement at the active magnetic bearing position,so as to solve the problem of different positions between the sensor and the active magnetic bearing.Next,the active magnetic bearing flexible rotor system with multi⁃variable strong coupling was transformed into four independent single⁃input single⁃output subsystems by using the state feedback decoupling method.On this basis,the system overshoot,adjustment time and vibration amplitude were taken as the optimization objectives,and the system stability and bearing air gap were taken as the constraints,the multi⁃dimensional visualization method was used to optimize the controller parameters of the decoupled subsystem,and the optimal feasible region of the control parameters P and D was obtained.Finally,a system simulation model was performed to verify the control performance of the proposed control strategy.The results show that the control algorithm proposed in this paper can effectively suppress the vibration of active magnetic bearing flexible rotor system,and has the characteristics of good stability,small overshoot,short adjustment time and strong anti⁃interference ability.

关 键 词：柔性转子 状态观测 状态反馈解耦 多维可视化 多目标优化 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3