样条最小二乘拟合在估计水塔水流量中的应用

Study on Estimating Water Flow of Tank with Spline Least Squares

本文采用样条最小二乘法 ,通过对水塔水位的观测数据进行拟合 ,能够估计出任意时刻水塔的水流量及一天内的总用水量 ,同时较好地克服了使用高次多项式时容易导致的正规方程组的病态性问题 .

In this paper, spline least squares is adopted to fit the observing data of the water level of tank, which can not only estimate the water flow of any time and the total water consumption in a day, but also overcome the ill condition of normal equations which are easily caused with the application of higher polynomial.