Model order reduction for hypersonic vehicle based on balanced truncate method
YOU Ming
ZONG Qun
ZENG Fan-lin
TAO Yang
XU Rui
Abstract：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.
Keywords：hypersonic vehiclemodel reductionbalanced truncationright coprime decompositionmodel validation
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 795-800 )