部分状态反馈的主动利用时滞补偿方法
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摘要
时间滞后是结构振动主动控制系统中普遍存在的现象,时滞不仅会降低控制系统的性能,严重时会造成系统失稳、控制发散。常规时滞补偿方法大多是将时滞作为一种危害进行消减,而今提出了一种基于速度反馈的主动利用时滞的补偿新方法。研究分为以下三方面内容:首先以理论分析为基础,提出了基于速度反馈的主动增加时滞的补偿新方法;其次,结合大量仿真结果定性分析了主动控制算法的参数影响规律;最后,以单层剪切型框架结构为被控对象,进行了多种输入激励下基于速度反馈的主动增加时滞补偿试验验证。大量仿真分析和试验结果表明所提方法能够在保证系统稳定性的同时获得一定可观的控制效果。
Time delay is a more general phenomenon in the structural vibration control.Time delay may not only degrade the performance of the control system but also induce instability to the system and control divergence.Conventional time delay compensation methods mostly are to reduce time delay as a hazard,a new compensation method which actively uses time delay based on velocity feedback is proposed in this paper.The objectives of the present study are divided into three parts: Firstly based on theoretical analysis,a new compensation method which actively increases time delay based on velocity feedback is proposed.Secondly,combined with large amount of simulation results,parameter influence rule of active control algorithm is analyzed in detail both qualitatively and quantitatively.Finally,using monolayer shearing model frame structure as controlled objective,compensation experiments which actively increases time delay based on velocity feedback under multi-input stimulation environment were verified.Large amount of simulation analysis and experiment results demonstrate that methods proposed in the paper can guarantee system stability while obtain considerable control effects.
Time delay is a more general phenomenon in the structural vibration control.Time delay may not only degrade the performance of the control system but also induce instability to the system and control divergence.Conventional time delay compensation methods mostly are to reduce time delay as a hazard,a new compensation method which actively uses time delay based on velocity feedback is proposed in this paper.The objectives of the present study are divided into three parts: Firstly based on theoretical analysis,a new compensation method which actively increases time delay based on velocity feedback is proposed.Secondly,combined with large amount of simulation results,parameter influence rule of active control algorithm is analyzed in detail both qualitatively and quantitatively.Finally,using monolayer shearing model frame structure as controlled objective,compensation experiments which actively increases time delay based on velocity feedback under multi-input stimulation environment were verified.Large amount of simulation analysis and experiment results demonstrate that methods proposed in the paper can guarantee system stability while obtain considerable control effects.
引文
[1]欧进萍.结构振动控制:主动、半主动和智能控制[M].北京:科学出版社,2003.
[2]田石柱,李暄,欧进萍.结构主动控制系统时间滞后测量与补偿方法[J].地震工程与工程振动.2000,20(4):101—105.
[3]Basharkhah M A,Yao J T P.Reliability aspects of st-ructural control[J].Civ.Eng.Syst.,1984,1:224—229.
[4]Yang J N,Akbarpour A,Askar G.Effect of timedelay on control of seismic-excited buildings[J].Journal of Structural Engineering,ASCE,1990,116(10):2 801—2 814.
[5]胡海岩.振动主动控制中的时滞动力学问题[J].振动工程学报,1997,10(3):273—279.
[6]Cai Guoping,Huang Jinzhi.Optimal control methodfor seismically excited building structures with timedelay in control[J].Journal of Engineering Mec-hanics,ASCE,2002,128(6):602—612.
[7]Cai Guoping,Huang Jinzhi.Discrete-time variable st-ructure control method for seismic-excited building st-ructures with time delay[J].Earthquake Engineering&Structural Dynamics,2002,31(7):1 347—1 359.
[8]Agrawal A K,Yozo Fujino,Bhartia B K.Instabilitydue to time delay and its compensation in activecontrol of structures[J].Earthquake Engineering&Structural Dynamics,1993,22(3):211—224.
[9]Mohamed Abdel-Mooty,John Roorda.Time-delaycompensation in active damping of structures[J].Journal of Engineering Mechanics,ASCE,1991,117(11):2 549—2 570.
[10]Soong T T.Active Structural Control Theory andPractice[M].Longman Scientific&Technical.UK,1990.
[11]Chung L L,Lin R C,Soong T T,et al.Experimentalstudy of active control for MDOF seismic structures[J].Journal of Engineering Mechanics,ASCE,1989,115(8):1 609—1 627.
[12]Mohamed Abdel-Mooty,John Roorda.Time-delaycompensation in active damping of structures[J].Journal of Engineering Mechanics,ASCE,1991,117(11):2 549—2 570.
[13]Chung L L,Reinhorn A M,Soong T T.Experimentson active control of seismic structures[J].ASCE,Journal of Engineering Mechanics,1988,114:241—256.
[14]Abdel-Rohman M.Time delay effects on activelydamped structures[J].ASCE,J.Eng.Mech.,1987,113(11):1 709—1719.
[15]Loh C H,Lin P Y.Kalman filter approach for thecontrol of seismic-induced building vibration using active mass damper system[J].The Structural Designof Tall Buildings,1997,6:209—224.
[16]Mcgreevy S,Soong T T,Reinhorn A M.Anexperimental study of time delay compensation inactive structural control[A],Proc SEM 6th Int.Modal Anal.Conf.[C].Orlando,USA,1988:733—739.
[2]田石柱,李暄,欧进萍.结构主动控制系统时间滞后测量与补偿方法[J].地震工程与工程振动.2000,20(4):101—105.
[3]Basharkhah M A,Yao J T P.Reliability aspects of st-ructural control[J].Civ.Eng.Syst.,1984,1:224—229.
[4]Yang J N,Akbarpour A,Askar G.Effect of timedelay on control of seismic-excited buildings[J].Journal of Structural Engineering,ASCE,1990,116(10):2 801—2 814.
[5]胡海岩.振动主动控制中的时滞动力学问题[J].振动工程学报,1997,10(3):273—279.
[6]Cai Guoping,Huang Jinzhi.Optimal control methodfor seismically excited building structures with timedelay in control[J].Journal of Engineering Mec-hanics,ASCE,2002,128(6):602—612.
[7]Cai Guoping,Huang Jinzhi.Discrete-time variable st-ructure control method for seismic-excited building st-ructures with time delay[J].Earthquake Engineering&Structural Dynamics,2002,31(7):1 347—1 359.
[8]Agrawal A K,Yozo Fujino,Bhartia B K.Instabilitydue to time delay and its compensation in activecontrol of structures[J].Earthquake Engineering&Structural Dynamics,1993,22(3):211—224.
[9]Mohamed Abdel-Mooty,John Roorda.Time-delaycompensation in active damping of structures[J].Journal of Engineering Mechanics,ASCE,1991,117(11):2 549—2 570.
[10]Soong T T.Active Structural Control Theory andPractice[M].Longman Scientific&Technical.UK,1990.
[11]Chung L L,Lin R C,Soong T T,et al.Experimentalstudy of active control for MDOF seismic structures[J].Journal of Engineering Mechanics,ASCE,1989,115(8):1 609—1 627.
[12]Mohamed Abdel-Mooty,John Roorda.Time-delaycompensation in active damping of structures[J].Journal of Engineering Mechanics,ASCE,1991,117(11):2 549—2 570.
[13]Chung L L,Reinhorn A M,Soong T T.Experimentson active control of seismic structures[J].ASCE,Journal of Engineering Mechanics,1988,114:241—256.
[14]Abdel-Rohman M.Time delay effects on activelydamped structures[J].ASCE,J.Eng.Mech.,1987,113(11):1 709—1719.
[15]Loh C H,Lin P Y.Kalman filter approach for thecontrol of seismic-induced building vibration using active mass damper system[J].The Structural Designof Tall Buildings,1997,6:209—224.
[16]Mcgreevy S,Soong T T,Reinhorn A M.Anexperimental study of time delay compensation inactive structural control[A],Proc SEM 6th Int.Modal Anal.Conf.[C].Orlando,USA,1988:733—739.
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