基于主导能量法和Pade逼近法的多变量系统的模型简化

本文在运用主导能量分布法初步确定多变量系统简化模型的阶的基础上,综合利用主导能量法和Pade逼近法对多变量系统进行联合降阶,从而获得具有较好的暂态和稳态拟合精度的降阶模型。文中的算例表明,本文提出的模型简化方法可得到较为满意的结果。 本文的方法适用于存在主导极点的复杂系统和大系统。

A Model Reduction Method for Multivariable Systems Based on Technique of Dominant Energy and Pade Approximation

In this paper, using the method of analysis of dominant energy, the problem of determining orders of reduced model of multivariable systems has been solved at first step. A unitive reduction of multivariable systems has been done with the technique of dominant energy and Pade approximation.The proposed method of simplification which is suitable for complicated systems or large scale systems in which dominant poles exist has a comprehensive advantage of each of the methods of dominant engenvalue and Pade approximation, and the reduced model has better matching degrees in both the transition and the stable states.The example given in the paper shows that the method of simplification can yield better results.