Model order reduction for hypersonic vehicle based on balanced truncate method

被引：0

作者：

You, Ming ^{[1
]}

Zong, Qun ^{[1
]}

Zeng, Fan-Lin ^{[2
]}

Tao, Yang ^{[1
]}

Xu, Rui ^{[1
]}

机构：

[1] School of Electrical Engineering and Automation, Tianjin University

[2] Tianjin Key Laboratory of Information Sensing and Intelligent Control, School of Automation and Electrical Engineering, Tianjin University of Technology and Education

来源：

Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2014年 / 31卷 / 06期

关键词：

Balanced truncation; Hypersonic vehicle; Model reduction; Model validation; Right coprime decomposition;

D O I：

10.7641/CTA.2014.30777

中图分类号：

学科分类号：

摘要：

This paper presents a model reduction method applicable to the hypersonic vehicle mathematical model. The method uses projection technology based on the singular value decomposition to transform the high-level mathematical model of a hypersonic vehicle to a balance form to obtain a low-order differential equation by truncation, thus achieving the model reduction and facilitating the design of the controller. Compared to the traditional model reduction applied only to stable system, the model reduction method proposed in this paper can be applied to reduce the unstable system by using right coprime decomposition. In order to prove the accuracy of the model reduction method, we give quantitative validation results based on the time domain analysis through the calculation of the average gray relational coefficients. In the simulation part, we apply this method to achieve a reduced-order model of the elastic longitudinal model proposed by the US Air Force Research Laboratory successfully, which proves the effectiveness of this method.

引用

页码：795 / 800

页数：5

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