分布参数系统传感器位置优化配置中的小波变换应用

Application of Wavelet Transform to Sensor Optimal Location in Distributed Parameter Systems

传感器的测量位置是分布参数系统(DPS)参数辨识的特有问题,对参数辨识精度有着较大影响。将Haar小波作为正交函数基,利用小波变换作为分析工具,研究了DPS传感器测量点的位置优化问题。分析比较了传感器不同位置配置对DPS参数辨识精度的影响。通过辨识示例仿真结果表明,基于小波变换的方法来定位传感器最优位置获得最佳测量值的方法,实现对DPS的参数辨识是可行的、有效的。该方法算法简单,计算量小,辨识精度较高。

Measurement of sensor location is a special problem in distributed parameter sys tems（DPS） for parameter identification. It greatly influences accuracy of parameter identification of DPS. This paper studies the problem of optimal measurement locations of sensors for DPS, using Haar wavelets as the orthogonal basic function. The effect of sensor measurement locations of different sensors on DPS is analyzed and compared. Examples of identification show that the proposed method is feasible and effective in locating sensors for optimal measurement values. The algorithm simplifies calculation with accurate results.