不确定建筑结构的递阶分散鲁棒控制方法及试验研究
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摘要
目的将鲁棒控制理论用于建筑结构控制领域,解决建筑结构在实际控制中存在的不确定性问题.方法基于线性矩阵不等式,给出递阶分散鲁棒控制设计方法.设计了基于MAT-LAB/xPC的实时振动控制系统,并且进行了悬臂梁半物理实时数据采集与控制实验.结果当结构的质量发生变化时,实施递阶分散控制算法能很好地对结构的振动进行控制.从时域分析看,当对试验模型控制后,衰减速度随着与振源距离的增加而显著的加快,说明其振动传递率有所降低.1#~3#位置的控制效果相对较好,由于控制系统固有的噪声存在的影响以及4#位置的振动响应很小,4#位置控制效果不是很明显.结论利用压电智能材料,对悬臂梁实施递阶分散鲁棒控制方案是可行的,实验实现并证明了递阶分散鲁棒控制方法对不确定结构控制的可行性和有效性.
The robust control theory is used in the building structure fields to resolve the uncertainty of the actual building structure.The linear matrix inequality of robust control method based on hierarchical decentralized state feedback is used to control building structure.It constructs cantilever active control experiments by Matlab/xPC control method,and a half physical real-time data acquisition and control of cantilever is realized.The result shows that,while the mass of structure change,the vibration has been in good control.According to the time domain analysis,the vibration attenuation velocity quickens after the cantilever is controlled.The location 1#～3# have a good control effect.Because of the existence of noises and small vibration response of the location th 4#,the location 4# has not good control effect.The conclusion is that it is feasible to make hierarchical decentralized control over cantilever by using piezoelectric material.The experimental results show that controllers can work very well and has strong robustness.
The robust control theory is used in the building structure fields to resolve the uncertainty of the actual building structure.The linear matrix inequality of robust control method based on hierarchical decentralized state feedback is used to control building structure.It constructs cantilever active control experiments by Matlab/xPC control method,and a half physical real-time data acquisition and control of cantilever is realized.The result shows that,while the mass of structure change,the vibration has been in good control.According to the time domain analysis,the vibration attenuation velocity quickens after the cantilever is controlled.The location 1#～3# have a good control effect.Because of the existence of noises and small vibration response of the location th 4#,the location 4# has not good control effect.The conclusion is that it is feasible to make hierarchical decentralized control over cantilever by using piezoelectric material.The experimental results show that controllers can work very well and has strong robustness.
引文
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[2]Wu Jingcheng,Hsinhsienchih,Chen Chernhwa.A ro-bust control method for seismic protection of civilframe building[J].Journal of Sound and Vibration,2006,294(27):314-328.
[3]Stavroulakis G E,Foutsitzi G,Hadjigeorgiou E,et al.Design and robust optimal control of smart beamswith application on vibrations suppression[J].Ad-vances in Engineering Software,2005,36(11):806-813.
[4]Yan Ruhu,Alfred Ng.Active robust vibration controlof flexible structures[J].Journal of Sound and Vi-bration,2005,288(1):43-56.
[5]Stavroulakis G E,Marinova D G,Hadjigeorgiou E,etal.Robust active control against wind-induced struc-tural vibrations[J].Journal of Wind Engineering andIndustrial Aerodynamics,2006,94(11):895-907.
[6]Chae Wook Lim.Active vibration control of the line-ar structure with an active mass damper applying ro-bust saturation controller[J].Mechatronics,2008,18(8):391-399.
[7]Srdjan S Stankovil,Dusan M Stipanovic,DragoslavD Siljak.Decentralized dynamic output feedback forrobust stabilization of a class of nonlinear intercon-nected systems[J].Automatic,2007,43(5):861-867.
[8]张延年,刘剑平,李艺,等.双向耦合地震作用下的混合控制结构研究[J].沈阳建筑大学学报:自然科学版,2006,22(1):1-6.
[9]李宏男,李宏宇,董松员.基于模糊神经网络系统的结构主动控制[J].沈阳建筑大学学报:自然科学版,2005,21(2):99-102.
[10]Siljak D D.Decentralized control and computations:status and prospects[J].A Rev.Control,1996,20:131-141.
[11]李人厚,邵福庆.大系统的递阶与分散控制[M].西安:西安交通大学出版社,1986.
[12]杨涤,李立涛,杨旭,等.系统实时仿真开发环境与应用[M].北京:清华大学出版社,2002.
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