Efficient model reduction of linear periodically time-varying systems via compressed transient system function

被引：14

作者：

Gad, E ^{[1
]}

Nakhla, M

机构：

[1] Univ Ottawa, Sch Informat Technol & Engn, Ottawa, ON, Canada

[2] Carleton Univ, Dept Elect, Ottawa, ON K1N 6N5, Canada

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2005年 / 52卷 / 06期

关键词：

Krylov subspace techniques; linear periodically; time-varying systems; modeling; model-order reduction; simulation;

D O I：

10.1109/TCSI.2005.846661

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper presents a new algorithm to obtain reduced-order model of linear periodically time-varying (LPTV) systems. The proposed algorithm introduces the approach of projection-based reduction algorithms, which have been used for reduction of linear time-invariant (LTI) systems, to the domain of LPTV systems. The key idea in the proposed approach is the utilization of integrated congruence transform to project the original LPTV system matrices onto the Hilbert subspace spanned by the time-dependent derivatives (or moments) of the transfer function. We prove that the transfer function of the resulting reduced-order model has the same derivatives as that of the original system in the Laplce-domain. The new approach presents, a computationally efficient method to generate the orthogonal transformation operator (used in the integrated congruence transform) through expanding the time-varying transfer function in the right-half plane of the Laplace-domain. This enables using numerical time-domain integration for a very short transient period to generate the orthogonal transformation operator.

引用

页码：1188 / 1204

页数：17

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