基于部分反馈的LQG模态半主动控制算法
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摘要
针对复杂结构半主动控制造价高、难以实现工程应用的缺点,对传统模态半主动控制算法改进并提出基于部分反馈的LQG模态半主动控制算法。算法中设计的Kalman滤波估计器可直接从结构的部分反馈信息对截断模态响应向量进行估计。通过在一安装有MR阻尼器的平板网架结构振动控制数值仿真表明,该算法对外部激励有很好的适应性,控制效果可以接近传统Clipped-optimal半主动控制算法,同时由于控制方程维数和所需传感器个数的降低,将更适合于复杂结构的工程应用。
Semiactive control systems of complex structures are of high cost and are unfavourable to use in real projects.Based on the traditional semiactive modal control algorithm,a partial feedback based LQG semiactive modal control algorithm is proposed.A Kalman filter estimator in the control algorithm can estimate the truncated modal responses vectors directly through partial acceleration feedback.Numerical simulation is conducted on a lattice structure installed with MR damper.The results show that the proposed control algorithm has good adaptability to external excitations,that the control effectiveness is similar to the traditional clipped-optimal control algorithm.Moreover,the reduction in the number of sensors required in the control system and in the dimension of control equation makes the proposed control algorithm more suitable for complex engineering applications.
Semiactive control systems of complex structures are of high cost and are unfavourable to use in real projects.Based on the traditional semiactive modal control algorithm,a partial feedback based LQG semiactive modal control algorithm is proposed.A Kalman filter estimator in the control algorithm can estimate the truncated modal responses vectors directly through partial acceleration feedback.Numerical simulation is conducted on a lattice structure installed with MR damper.The results show that the proposed control algorithm has good adaptability to external excitations,that the control effectiveness is similar to the traditional clipped-optimal control algorithm.Moreover,the reduction in the number of sensors required in the control system and in the dimension of control equation makes the proposed control algorithm more suitable for complex engineering applications.
引文
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[2]姜南,李忠献.相邻结构地震反应MR阻尼器控制的仿真分析[J].地震工程与工程振动,2008,28(2):131-136.
[3]肖志荣,孙炳楠.斜拉索基于MR阻尼器的神经网络半主动控制[J].工程力学,2010,27(1):183-187.
[4]Johnson E A,Baker G A,Spencer B F Jr,et al.Semiactive damping of stay cables[J].Journal of Engineering Mechanics,2007,133(1):1-11.
[5]Lu K C,Loh C H,Yang J N,et al.Decentralized sliding mode control of a building using MR dampers[J].Smart Mater-ials and Structures,2008,17(5):1055-1066.
[6]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.
[7]Weber F,Feltrin G,Motavalli M,et al.Measured linear-quadratic-Gaussian controlled damping[J].Smart Materials andStructures,2005,14(6):1172-1183.
[8]丁阳,林伟,李忠献.大跨度空间结构多维多点非平稳随机地震反应分析[J].工程力学,2007,24(3):97-103.
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