Balancing reduction of linear systems having multiple delays
作者:
Tong‐Yi Guo,
Chyi Hwang,
Jenq‐Shiaw Lin,
期刊:
Journal of the Chinese Institute of Engineers
(Taylor Available online 1995)
卷期:
Volume 18,
issue 5
页码: 673-682
ISSN:0253-3839
年代: 1995
DOI:10.1080/02533839.1995.9677732
出版商: Taylor & Francis Group
关键词: model reduction;balance realization;delay systems
数据来源: Taylor
摘要:
In this paper we apply the balancing reduction method to derive reduced‐order models for linear systems having multiple delays. The time‐domain balanced realization is achieved through computing the controllability and observability gramians in the frequency domain. With the variable transformations=itan(θ/2), the gramians of linear multi‐delay systems can be accurately evaluated by solving first‐order differential equations over a finite domain. The proposed approach is computationally superior to that of using the two‐dimensional realization of delay differential systems.
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