AMD系统的自适应最小控制合成(MCS)算法
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摘要
结构主动质量阻尼(AMD)系统在地震和强风作用下,能够根据外部荷载的变化,依据某种控制算法实时计算控制力并主动施加到结构上,从而减小结构的振动响应。AMD系统对于结构振动控制效果取决于控制算法,为此将MCS自适应控制算法应用到AMD系统中,由于该算法不需要事先知道受控结构的力学模型和参数,具有很好的鲁棒性能,非常适合应用于结构振动控制中。据此推导参考模型MCS自适应算法的控制方程,提出降低地震能量控制的参考模型,对AMD装置的两层框架结构的仿真分析,并在UCIST II小型振动台上进行控制算法试验,且与传统的极点配置算法进行比较。结果表明:采用MCS自适应算法可以结构受控响应保持与参考模型预期的响应一致,其控制的效果要优于传统极点配置算法的控制效果。
When earthquake or strong wind occurs, the structural active mass damper(AMD) system can calculate the controlling force in real-time and actively exert it onto the structure with a certain control algorithm according to the change of the external load, so that the structural vibration response can be reduced. The effect of the control of the AMD system depends primarily on the control algorithm. The MCS self-adaptive control algorithm can be applied to the AMD system.This algorithm does not need any mechanical model and parameters of the structure in advance, and has an excellent robust performance. It is appropriate for application in structural vibration control. In this paper, a reference model for seismic energy reduction control was proposed. The governing equation for the self-adaptive algorithm of the model was deduced.Simulation analysis of a two-storied frame structure with the AMD device was performed. In order to test the validity of the MCS self-adaptive algorithm, a control algorithm experiment was carried out on the UCIST II small vibration bench and the result was compared with that of the traditional pole allocation algorithm. The result indicates that by using MCS selfadaptive algorithm, the response of the controlled structure can keep consistent with the anticipated response of the reference model, and its control effect is superior to that of the traditional pole allocation algorithm.
When earthquake or strong wind occurs, the structural active mass damper(AMD) system can calculate the controlling force in real-time and actively exert it onto the structure with a certain control algorithm according to the change of the external load, so that the structural vibration response can be reduced. The effect of the control of the AMD system depends primarily on the control algorithm. The MCS self-adaptive control algorithm can be applied to the AMD system.This algorithm does not need any mechanical model and parameters of the structure in advance, and has an excellent robust performance. It is appropriate for application in structural vibration control. In this paper, a reference model for seismic energy reduction control was proposed. The governing equation for the self-adaptive algorithm of the model was deduced.Simulation analysis of a two-storied frame structure with the AMD device was performed. In order to test the validity of the MCS self-adaptive algorithm, a control algorithm experiment was carried out on the UCIST II small vibration bench and the result was compared with that of the traditional pole allocation algorithm. The result indicates that by using MCS selfadaptive algorithm, the response of the controlled structure can keep consistent with the anticipated response of the reference model, and its control effect is superior to that of the traditional pole allocation algorithm.
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.
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[3]张春巍,欧进萍.结构AMD系统的控制力特性[J].振动工程学报,2010,23(1):1-6.
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[6]H.Beanchoubane,D.P.Stoten.The decentralized minimal controller synthesis algorithm[J].Int.J.Control,1992,56:967-983.
[7]D.P.Stoten,E.G.Gomez.Adaptive control of shaking tables using the minimal control synthesis algorithm[J].Phil.Trans R.Soc.,2001(359):1697-1723.
[8]瞿伟廉,查小鹏.基于最小控制综合算法的结构振动控制研究[J].武汉理工大学学报,2007,29(1):145-148.
[9]张凯静.结构振动控制的参考模型自适应控制算法研究[D].武汉理工大学,2010.
[2]张春巍,欧进萍.电磁驱动AMD系统控制结构地震响应的振动台试验[J].地震工程与工程振动,2006,26(2):104-110.
[3]张春巍,欧进萍.结构AMD系统的控制力特性[J].振动工程学报,2010,23(1):1-6.
[4]D.P.Stoten,R.A.Hyde.Adaptive control of dynamically substructured systems[J].Systems and Control Engineering,2006,220:63-79.
[5]D.J.Wagg,D.P.Stoten.Substructuring of dynamical systems via the adaptive minimal control synthesis algorithm[J].Earthquake Engng Struct.Dyn.,2001,30:865-877.
[6]H.Beanchoubane,D.P.Stoten.The decentralized minimal controller synthesis algorithm[J].Int.J.Control,1992,56:967-983.
[7]D.P.Stoten,E.G.Gomez.Adaptive control of shaking tables using the minimal control synthesis algorithm[J].Phil.Trans R.Soc.,2001(359):1697-1723.
[8]瞿伟廉,查小鹏.基于最小控制综合算法的结构振动控制研究[J].武汉理工大学学报,2007,29(1):145-148.
[9]张凯静.结构振动控制的参考模型自适应控制算法研究[D].武汉理工大学,2010.
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