考虑敏感性和鲁棒性相协调的多维传感器优化布置方法

Optimal multi-dimensional sensor placement in consideration of the coordination of sensitivity and robustness

为了有效地布置多维传感器,将传感器优化布置方法中经典的三维有效独立法(EfI3)推广到了其他维数,分别给出了适用于高层建筑的EfI2和EfI5算法;针对以往算法不能考虑结构自身不适定性的问题,提出了一种能够综合考虑结构反应信息敏感性以及系统鲁棒性相协调的优化方法,该方法通过E测试矩阵使Fisher信息矩阵获得最大值,且能够保证在迭代过程中振型矩阵的条件数最小;以广州新电视塔为例,采用模态保证准则、Fisher信息矩阵行列式,以及振型矩阵条件数3种优化准则,对比分析了仅考虑水平振动,以及同时考虑水平振动和空间扭转的传感器优化布置效果,证明了方法的可行性和优越性。

In order to effectively arrange multi-dimensional sensors,the classical triaxial effective independence （EfI3） are extended to other dimensions,leading to EfI2 and EfI5 algorithms for high-rise buildings.In that the previous algorithms didn＇t consider the ill-posedness of modal matrix,the optimal method is proposed in the coordination of both structural response sensitivity and system robustness.This method result in the maximal value of the Fisher information matrix through the adjustment of the EfI measure matrix,and ensure the minimum condition number of the modal shape matrix during the iteration process.Finally,taking the Guangzhou new TV tower as an example,the sensor placement configurations,which considers merely horizontal vibration,and considers both the horizontal vibration and spatial torsion,respectively,are analyzed by using three evaluation criteria,namely,the modal assurance criterion,the Fisher information matrix determinants,and the condition number.Numerical results indicate that the proposed method is efficient and effective.