探索将偏最小二乘方法推广应用于带翼轴对称飞行器的气动特性建模这一多变量非线性复杂气动问题,从已有的轴对称飞行器气动力数学模型出发,利用交叉校验法确定模型中的成分数,建立泛化能力较强的偏最小二乘数学模型.此后以某轴对称飞行器滚转舵偏时的法向力建模和三个舵面都偏转时的轴向力建模为算例来对建模方法的有效性进行分析,并与正交最小二乘方法的建模结果进行对比.结果表明:将偏最小二乘法应用于气动特性建模是可行的,且其建模效果整体上优于正交最小二乘法,在工程上有较好的应用前景.
Partial least squares regression (PLS) is a new multivariate data analysis method taking advantage of the Least Squares regression,principal component analysis(PCA),and canonical correlation analysis(CCA).In this paper,it is innovated and utilized for the complex multivariate nonlinear problem of modeling for the aerodynamic data of the axisymmetric flight vehicle with control surfaces.Based on the now-available trigonometric mathematical model of the axisymmetric flight vehicle with control surfaces,the cross-validation method is used to determine the number of the principal components and the PLS model with good generalization capability is constructed.Furthermore,the PLS method is used for two examples of modeling of normal force for an axi-symmetric flight vehicle with aileron deflecting only and modeling of axial force for the axi-symmetric flight vehicle with all the control surfaces deflecting,and the modeling results are compared with the results of another modeling method of orthogonal least squares regression (OLS).The results show that PLS is a feasible and effective method for aerodynamic modeling and the modeling results are generally better than OLS,and the method is of bright prospect in engineering practices.