On gramians and balanced truncation of discrete-time bilinear systems

被引：49
|
作者：
Zhang, LQ
Lam, J
Huang, B [1 ]
Yang, GH
机构：
[1] Univ Alberta, Dept Chem & Mat Engn, Edmonton, AB T6G 2G6, Canada
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[3] Natl Univ Singapore, Temasek Labs, Singapore 119260, Singapore
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2003年 / 76卷 / 04期
关键词：
D O I：
10.1080/0020717031000082540
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper obtains a balanced truncation model reduction method for discrete-time bilinear systems. After deriving the sufficient conditions for the discrete-time bilinear systems to lead to bounded outputs for some bounded inputs, we study the properties of the reachability and observability gramians. The gramians can be computed by solving two generalized Lyapunov equations. By balancing the reachability and observability gramians, a model reduction method is obtained. Some propositions of the reduced order models are given. A numerical example is given to illustrate the effectiveness of the proposed method.
引用
收藏
页码：414 / 427
页数：14
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