最小二乘混沌算法在水位流量关系拟合中的应用

The Application of Least Squares Chaos Algorithm for StageDischarge Relation Curve Fitting

针对水位流量关系曲线拟合问题,将最小二乘法(LS)与混沌算法(CA)相结合,提出了一种适应于曲线拟合的最小二乘混沌算法(LSCA),并与最小二乘算法及遗传算法的拟合结果进行比较。结果表明,最小二乘混沌算法具有简便、快速、实用性强等优点,是一种较为优秀的全局优化方法,适应于非线性关系的参数率定。

With an aim at the problem of the stage-discharge relation curve fitting, this paper suggests the least squares chaos algorithm （LSCA） suitable for curve fitting based on the combination of the least squares （LS） with chaos algorithm （CA）, and also the comparison is made of the fitting results by the least squares algorithm and genetic algorithm. The results indicate that the least squares chaos algorithm is characterized by simplicity, quickness and practicality, which is an excellent and global optimization method and also adapts to parameter rating of non-linear relationship.