地震激励下基于LMI的转子系统振动主动控制
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摘要
为了抑制随机激励作用下转子系统的瞬态振动并使转子系统具有鲁棒性,基于线性矩阵不等式(LMI),为地震激励作用下转子系统的振动主动控制设计了H2、H∞和H2/H∞混合状态反馈控制律.通过Matlab的LMI工具箱对地震激励作用下转子系统的振动主动控制进行了研究,分析了非平稳El Centro地震激励作用下转子系统在H2/H∞混合控制作用下的频域和时域特性,验证了H2/H∞混合控制在转子系统振动控制中的可行性和有效性.结果表明,所提出的H2/H∞混合控制策略能有效抑制地震激励作用下转子系统的瞬态振动并使转子系统保持较强的鲁棒性能,转子系统的频域和时域特性得到了有效改善.
H2,H∞ and mixed H2/H∞ state feedback control strategies for the rotor system under seismic excitation were developed by linear matrix inequality(LMI) to attenuate the transient vibration of the rotor system under random excitation and make it robust.Active vibration control of the rotor system under seismic excitation was investigated by using Matlab LMI tools.Characteristics of the rotor system under nonstationary El Centro earthquake excitation in both frequency and time domains were analyzed.The feasibility and effectiveness of the control strategies presented in active vibration control for the rotor system under seismic excitation were verified.The mixed H2/H∞ control strategy can effectively suppress the transient vibration of the rotor system and make it maintain good robust performance.Characteristics of the rotor system in both frequency and time domain were improved.
H2,H∞ and mixed H2/H∞ state feedback control strategies for the rotor system under seismic excitation were developed by linear matrix inequality(LMI) to attenuate the transient vibration of the rotor system under random excitation and make it robust.Active vibration control of the rotor system under seismic excitation was investigated by using Matlab LMI tools.Characteristics of the rotor system under nonstationary El Centro earthquake excitation in both frequency and time domains were analyzed.The feasibility and effectiveness of the control strategies presented in active vibration control for the rotor system under seismic excitation were verified.The mixed H2/H∞ control strategy can effectively suppress the transient vibration of the rotor system and make it maintain good robust performance.Characteristics of the rotor system in both frequency and time domain were improved.
引文
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[2]骆志明,冯庚斌,顾家柳.转子动力系统的非线性H∞控制[J].振动工程学报,1998,11(2):224-228.LUO Zhi-ming,FENG Geng-bin,GU Jia-liu.NonlinearHinfcontrol of rotor dynamic system[J].Journal of Vi-bration Engineering,1998,11(2):224-228.
[3]KEOUGH P S,MU C,BURROWS C R.Optimized de-sign of vibration controllers for steady and transient exci-tation of flexible rotors[J].Proceedings of the Institutionof Mechanical Engineers,Part C:Journal of MechanicalEngineering Science,1995,209(3):155-168.
[4]JABBARI F,SCHMITENDORF W E,YANG J N.Hinfinitycontrol for seismic-excited buildings with acceler-ation feedback[J].Journal of Engineering Mechanics,1995,121(9):994-1002.
[5]CHASE J G,SMITH H A.RobustHinfinitycontrol con-sidering actuator saturation I:theory[J].Journal of En-gineering Mechanics,1996,122(10):976-983.
[6]CHASE J G,SMITH H A,TETSUO S.RobustHinfinitycontrol considering actuator saturation II:applications[J].Journal of Engineering Mechanics,1996,122(10):984-993.
[7]CHASE J G,BRENEMAN S E,SMITH H A.RobustHinfinitystatic output feedback control with actuator satu-ration[J].Journal of Engineering Mechanics,1999,125(2):225-233.
[8]NONAMI K,SIVRIOGLU S.Active vibration controlusing LMI-based mixedH2/H∞state and output feed-back control with nonlinearity[C]∥Proceedings of the35th Conference on Decision and Control.Kobe:[s.n.],1996:161-166.
[9]FANG Min,WANG Ying,CHEN Wu-wei.MixedH2/H∞control&μanalysis of vehicle active suspensionsystem[C]∥Proceedings of the 5th World Congress onIntelligent Control and Automation.Hangzhou:[s.n.],2004:723-727.
[10]DULLERUD G E,PAGANINI F.A course in robustcontrol theory:a convex approach[M].New York:Springer-Verlog,2000.
[11]EHRICH F F.Handbook of rotor dynamics[M].NewYork:McGraw-Hill,1992.
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