分布参数系统传感器位置布置设计  

Design of sensor arrangement of distributed parameter systems

作　　者：关宏伟[1,2] 叶凌箭[2] 宋执环[1] 马修水[2] 

机构地区：[1]浙江大学工业控制技术国家重点实验室,工业控制研究所,浙江杭州310027 [2]浙江大学宁波理工学院,浙江宁波315100

出　　处：《计算机与应用化学》2013年第11期1315-1318,共4页Computers and Applied Chemistry

基　　金：浙江省自然科学基金资助项目(Y1101154);浙江省自然科学基金资助项目(LQ13F030007);宁波市创新团队(2012B82002)

摘　　要：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。The sensor arrangement of the distributed parameter systems were examined in this paper. We introduced a kind of sensor arrangement method, which was based on analyzing the response data of distributed parameter systems. First, feature sub-space and eigenfunctions were obtained by calculating the response data of distributed parameter systems. The problem of sensor arrangement was converted to an optimal problem by defining a projected operator based on the specified number of sensors. The optimal problem was to select a projected operator, which maximized the minimum diagonal element of a matrix. A corresponding weighted method was designed, which could deal with equal absolute coordinates in eigenfunctions. The situations, which the sensors would have several arrangements, could be avoided by this method in the first example. The method was applied to analyze the second example which was a complex coupling system. The effectiveness of this method was proved by these examples.

关 键 词：分布参数系统 系统响应 特征基向量 传感器位置布置 

分 类 号：TQ015.9[化学工程] TP391.9[自动化与计算机技术—计算机应用技术]