多重共线性诊断及其在飞行器非线性气动模型结构确定和参数估计中的应用  

MULTICOLLINEARITY DIAGNOSIS AND ITS APPLICATION TO THE DETERMINATON AND PARAMETER ESTIMATON OF NONLINEAR AERODYNAMIC MODEL

作　　者：李乃宏 吴瑶华[2] 

机构地区：[1]中国长城工业总公司精密机械部,北京100080 [2]哈尔滨工业大学航天工程系,哈尔滨150001

出　　处：《宇航学报》2000年第3期24-28,共5页Journal of Astronautics

摘　　要：本文基于飞行器气动建模的目的 ,详细地给出了不同情形下非线性气动模型的多项式及样条函数描述方法。指出由于多种因素的影响 ,必然导致候选非线性气动模型结构中存在共线性问题 ,从而使得传统的模型结构确定和参数估计方法不再适用。本文基于共线性诊断 。For the purpose of aerodynamic modelling from flight test data,this paper gives various mathematical description methods for nonlinear aerodynamic model by the polynominal Taylor expansion,polynominal splines and step function.Because of effects of several factors,such as overparameterization,etc.,multicollinearity problem must be existed in pre selected nonlinear aerodynamic models,and hence result in the unusefulness of traditional algorithms such as stepwise regression for the model structure determinaton and parameter estimation.Based on the multicollinearity diagnosis,main components regression and choosing variables using main components analysis,a new model structure determination (MSD) approach is presented,nonlinear MSD and parameter estimaton under the condition of existing multicollinearity is solved.

关 键 词：飞行器 结构确定 多重共线性 非线性气动模型 

分 类 号：V211[航空宇航科学与技术—航空宇航推进理论与工程]