线性周期时变系统的保结构降阶建模

Ting Mei, H. Thornquist, E. Keiter, S. Hutchinson
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引用次数: 1

摘要

通信系统中的许多子系统都可以建模为线性周期时变系统。本文提出了一种新的LPTV系统保结构降阶建模算法。我们的方法的一个关键的进步是,它保留了周期时变结构在还原过程中,从而导致减少LPTV系统。与先前的LPTV模型降阶(MOR)技术不同,我们的结构保持算法直接在原始LPTV系统上使用时变投影,将LPTV系统重新转换为人工线性时不变(LTI)系统并应用LTI MOR技术进行降阶。我们的方法总是产生比原始系统更小的系统,这对于以前的LPTV MOR技术是无效的。我们用几个电路实例验证了所提出的技术,证明了显着的尺寸减小和出色的准确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Structure preserving reduced-order modeling of linear periodic time-varying systems
Many subsystems encountered in communication systems can be modeled as linear periodic time-varyiing (LPTV) systems. In this paper, we present a novel structure preserving reduced-order modeling algorithm for LPTV systems. A key advance of our approach is that it preserves the periodic time-varying structure during the reduction process, thus resulting in reduced LPTV systems. Unlike prior LPTV model order reduction (MOR) techniques which recast the LPTV systems to artificial linear time-invariant (LTI) systems and apply LTI MOR techniques for reduction, our structure preserving algorithm uses a time-varying projection directly on the original LPTV systems. Our approach always produces a smaller system than the original system, which was not valid for previous LPTV MOR techniques. We validate the proposed technique with several circuit examples, demonstrating significant size reductions and excellent accuracy.
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