一种非线性系统多项式逼近的建模方法  

Polynomial Approach for Nonlinear Modeling

作　　者：罗秋滨[1] 李秀英[2] 韩志刚[2] 冯汝鹏[1] 

机构地区：[1]哈尔滨工业大学控制科学与工程系 [2]黑龙江大学电子工程学院,黑龙江哈尔滨150080

出　　处：《系统仿真学报》2008年第4期829-832,共4页Journal of System Simulation

基　　金：黑龙江省教育厅科技项目(10543073)

摘　　要：提出一种简便的非线性多项式逼近建模方法。对非线性系统,首先,利用拓扑同胚变换,将系统的有界输入输出数据变换为[0,1]范围之间的数据,然后选定初始多项式,对初始多项式模型反复利用递推最小二乘法进行参数辨识,通过比较项与参数乘积绝对值的大小,剔除多项式中对模型贡献较小的项,直到得到确定的多项式模型,大量的仿真结果表明了算法的有效性。A simple method of nonlinear modeling was proposed, For a nonlinear system, the input-output data were firstly changed into [0,1] by using topological homeomorphism conversion, then a initial polynomial model was selected, The parameters of polynomial model were estimated by using recursion least squares method, A final polynomial model was obtained by repeatedly estimating parameter and eliminating redundant terms. Several simulation results show the effectiveness of the method.

关 键 词：非线性建模 拓扑同胚变换 辨识 多项式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]