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针对具有分布参数特性系统的传感器位置布置问题,设计了一种通过对分布系统响应数据进行分析获得传感器位置配置的方法。先通过计算分布系统响应数据的特征子空间,获得系统的特征基向量:在确定传感器数量的情况下,定义了一个投影算子,将传感器的配置问题,转换为选取投影算子使基于投影算子的矩阵对角线最小元素最大化;本文提出了对特征基向量中具有相等绝对值的坐标位置进行加权处理的方法,设计了相应的实现算法。仿真实例1表明该方法避免传感器位置配置算法给出多种传感器位置布置方案情况的出现,并通过仿真实例2说明了该方法对具有耦合关系的复杂系统的有效性。
In order to solve the problem of the sensor placement in a distributed system, a method to locate the sensor position is proposed by analyzing the response data of the distributed system. Firstly, the characteristic subspace of the response data is calculated to obtain the characteristic vector of the system. In the case of determining the number of sensors, a projection operator is defined, which transforms the configuration of the sensor into a projection operator, The minimum diagonal elements of the sub-matrix are maximized. In this paper, a method of weighted processing of coordinate positions with equal absolute values in the feature basis vector is proposed, and the corresponding algorithm is designed. The simulation example 1 shows that the proposed method avoids the sensor position placement algorithm from giving a variety of sensor position placement scenarios and illustrates the effectiveness of this method for complex systems with coupling relationships through simulation example 2.