Research of Vibration Control on Nonlinear Rotor System with Fuzzy-PID

doi:10.16182/j.issn1004731x.joss.201701026

Abstract

Abstract: In order to overcome the problems which are the model of the nonlinear restoring force and the nonlinear vibration control, the vibration control of the nonlinear rotor system and the processing the nonlinear restoring force were accomplished based on the electromagnetic actuator using the FUZZY-PID controller with the fitness function of the variable width and variable geometric shapes. Using the Jeffcott rotor model with the nonlinearities of the forces of the bearing and the electromagnetic actuator, the simulations of the vibration control on the rotor system were performed. Through comparing with the control methods of the traditional PID and the FUZZY-PID and their results, the simulation results show the proposed FUZZY-PID controller can process the model of the nonlinear restoring force by the self-study and the nonlinear vibration control in the vicinities of the major critical speed and sub-harmonic critical speed and the rotor system is improved with a stronger ability of the interference rejection.

Key words: FUZZY-PID control, electromagnetic actuator, nonlinear rotor, vibration control, simulation

CLC Number:

TH113.1

Liu Jun, Liu Zhenwang, Chen Jianen, Wang Liangfu. Research of Vibration Control on Nonlinear Rotor System with Fuzzy-PID[J]. Journal of System Simulation, 2017, 29(1): 200-205.

References

[1] 顾艳庆. 电磁轴承转子系统的仿真与实验研究[J]. 科技创新与应用, 2012 (12):15-16
(Gu Y Q.Simulation and experimental study on rotor system of electromagnetic bearing[J]. Technology Innovation and Application, 2012 (12): 15-16.)
[2] Tang M, Zhu C S.Self-sensing active magnetic bearing using real-time duty cycle[J]. Journal of Zhejiang University Science (S1869-1951), 2013, 14(8): 600-611.
[3] 唐明, 祝长生. 基于占空比补偿的电磁轴承无传感器运行[J]. 浙江大学学报(工学版), 2013, 47(8): 1418-1423.
(Tang M, Zhu C S.Sensorless operation of electromagnetic bearing based on duty ratio compensation[J]. Journal of Zhejiang University (Engineering Science), 2013, 47(8): 1418-1423.)
[4] 郑水英, 马振飞. 被动式电磁阻尼器的原理和实验研究[J]. 振动工程学报, 2005, 18(1): 80-83.
(Zheng S Y and Ma Z F. Principle and Experimental Study of Passive Electromagnetic Dampers[J]. Journal of Vibration Engineering, 2005, 18(1): 80-83.)
[5] 周瑾, 蔡永飞, 徐龙祥. 被动式电磁阻尼器对磁悬浮转子系统不平衡响应的影响[J]. 南京航空航天大学学报, 2010, 42(6): 744-747.
(Zhou J, Cai Y F, Xu L X.Influence of Passive Electromagnetic Damper on Unbalance Response of Magnetic Suspension Rotor System[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2010, 42(6): 744-747.)
[6] 占智军. 主动电磁轴承的设计与分析 [D]. 杭州: 浙江大学, 2013.
(Zhan Z J.Design and Analysis of Active Magnetic Bearings [D]. Zhejiang, China: Zhejiang University, 2013.)
[7] 姚剑飞, 王维民, 杨佳丽, 等. 转子-轴承系统中电磁作动器的力学特性分析及实验研究[J]. 北京化工大学学报, 2012, 39(5): 102-107.
(Yao J F, Wang W M, Yang J L, et al.Analysis and experimental study on mechanical characteristics of electromagnetic actuator in rotor - bearing system[J]. Journal of Beijing University of Chemical Technology, 2012, 39(5): 102-107.)
[8] 常思勤, 李波, 林树森. 一种高功率密度的二自由度电磁执行器[J]. 电机与控制学报, 2014, 18(5): 56-61.
(Chang S Q, Li B, Lin S S.A high power density 2 - DOF electromagnetic actuator[J]. Electric Machines and Control, 2014, 18(5): 56-61.)
[9] 杨静, 何钦象, 李旗. 主动型磁浮轴承的非线性模糊控制[J]. 机械科学与技术, 2000, 19(2): 244-245.
(Yang J, He Q X, Li Q.Nonlinear fuzzy control of active magnetic bearings[J]. Mechanical Science and Technology, 2000, 19(2): 244-245.)
[10] Tung P C, Tsai M T, Chen K Y, et al.Design of model-based unbalance compensator with fuzzy gain tuning mechanism for an active magnetic bearing system[J]. Expert Systems with Applications (S0957-4174), 2011, 38(10): 12861-12868.
[11] Chen H C. Optimal fuzzy PID controller design for an active magnetic bearing system based on adaptive genetic algorithms [J]. Mathematical Structures in Computer Science (S0960-1295) , 2014, 24(5): No.e240516:1-14.
[12] Wang J, Li Zeng.The fuzzy control study for magnetic bearing system[C]// International Conference on Consumer Electronics, Communications and Networks. 2011: 858-860.
[13] 肖闽进, 张建生, 钱显毅. 基于模糊自适应的主动磁悬浮系统稳定性控制[J]. 南京航空航天大学学报, 2013, 27(3): 390-395.
(Xiao M J, Zhang J S, Qian X Y.Stability control of active magnetic suspension system based on fuzzy adaptive[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2013, 27(3): 390-395.)
[14] 时浩浩, 吕洪波, 孙启国. 面向主动磁轴承不平衡振动问题的模糊PID控制[J]. 制造业自动化, 2013, 67(20): 43-45.
(Shi H H, Lu H B, Sun Q G.Fuzzy PID control for unbalanced vibration of active magnetic bearings[J]. Manufacturing Automation, 2013, 67(20): 43-45.)
[15] Wang L F, Liu J.Preliminary research of delaying crack extension on an aero-engine rotor[C]// IEEE International Conference on Mechatronics and Automation, Tianjin, China. USA: IEEE, 2014: 1751-1756.
[16] Tsuyoshi I, Liu J.Vibration Control and Unbalance Estimation of a Nonlinear Rotor System Using Disturbance observer[J]. Journal of Vibration and Acoustics (S1048-9002), 2009, 131(6): 837-838.