标题： 有限频率范围内线性时不变系统的平衡截断 显示英文标题

标题： Balanced Truncation of Linear Time-Invariant Systems over Finite-frequency Ranges

摘要： This paper discusses model order reduction of LTI systems over limited frequency intervals within the framework of balanced truncation. Two new \emph{频率相关的平衡截断} methods were developed, one is \emph{SF型频率依赖的平衡截断} to copy with the cases that only a single dominating point of the operating frequency interval is pre-known, the other is \emph{区间型频率依赖平衡截断} to deal with the cases that both of the upper and lower bound of frequency interval are known \emph{先验地}. SF-type error bound and interval-type error bound are derived for the first time to estimate the desired approximation error over pre-specified frequency interval. We show that the new methods generally lead to good in-band approximation performance, at the same time, provide accurate error bounds under certain conditions. Examples are included for illustration. 显示英文摘要

摘要： This paper discusses model order reduction of LTI systems over limited frequency intervals within the framework of balanced truncation. Two new \emph{frequency-dependent balanced truncation} methods were developed, one is \emph{SF-type frequency-dependent balanced truncation} to copy with the cases that only a single dominating point of the operating frequency interval is pre-known, the other is \emph{interval-type frequency-dependent balanced truncation} to deal with the cases that both of the upper and lower bound of frequency interval are known \emph{a priori}. SF-type error bound and interval-type error bound are derived for the first time to estimate the desired approximation error over pre-specified frequency interval. We show that the new methods generally lead to good in-band approximation performance, at the same time, provide accurate error bounds under certain conditions. Examples are included for illustration.