分布参数系统传感器位置优化策略的小波算法

Sensor Location Optimal Strategy of Distributed Parameter Systems Based Wavelet Algorithm

传感器位置配置是分布参数系统实现最优控制的关键问题之一,不仅和边界条件有关,还和输入信号、系统噪声、测量噪声、过程的动态特性等因素有关,各个因素对最佳测量位置的影响各不相同。分布参数系统状态在空间具有无穷维自由度,而测量通常只是在空间离散的有限个点上进行,并且受到噪声的污染,因此,选择分布参数系统测量位置具有重要的意义。本文基于正交函数逼近理论,用小波作为分析工具对分布参数系统的传感器测量点的位置优化问题进行研究。仿真结果表明:该方法对于分布参数系统的传感器位置的优化选择具有重要意义。

Most engineering practical systems are distributed parameter systems. Sensor location optimal strategy is distinctive to distributed parameter systems, which has a significant effect on the precision of parameter identification. The optimal sensor location is one of the pivotal problems to achieve optimal control of distributed parameter systems. Sensor optimal locations not only relate with boundary con ditions, but also relate with many factors such as inputs, system noise, measure noise and process dynamic characteristic. Moreover, these factors have different effect on the optimal sensor location. The states of distributed parameter systems have infinite freedoms in space, but measurements are usually put only on limited points in distributed spaces, and the observed values are polluted by the noise. So it is significant to choose sensor optimal locations for distributed parameter systems. Based on orthogonal function approximation theory, a kind of optimal algorithm was put forward via wavelets transform and their operational matrixes in this paper. The simulation result shows the efficiency of the proposed method , which is significant for the choice of optimal sensor location in the distributed parameter systems.