Frequency interval balanced truncation of discrete-time bilinear systems

被引：7
|
作者：
Jazlan, Ahmad [1 ,2 ]
Sreeram, Victor [1 ]
Shaker, Hamid Reza [3 ]
Togneri, Roberto [1 ]
机构：
[1] Univ Western Australia, Sch Elect Elect & Comp Engn, 35 Stirling Highway, Perth, WA 6009, Australia
[2] Int Islamic Univ Malaysia, Dept Mechatron Engn, Fac Engn, Jalan Gombak, Kuala Lumpur 53100, Malaysia
[3] Univ Southern Denmark, Ctr Energy Informat, Campusvej 55, DK-5230 Odense M, Denmark
来源：
COGENT ENGINEERING | 2016年 / 3卷 / 01期
关键词：
model reduction; bilinear systems; balanced truncation; frequency interval gramians; finite frequency interval;
D O I：
10.1080/23311916.2016.1203082
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper presents the development of a new model reduction method for discrete-time bilinear systems based on the balanced truncation framework. In many model reduction applications, it is advantageous to analyze the characteristics of the system with emphasis on particular frequency intervals of interest. In order to analyze the degree of controllability and observability of discrete-time bilinear systems with emphasis on particular frequency intervals of interest, new generalized frequency interval controllability and observability gramians are introduced in this paper. These gramians are the solution to a pair of new generalized Lyapunov equations. The conditions for solvability of these new generalized Lyapunov equations are derived and a numerical solution method for solving these generalized Lyapunov equations is presented. Numerical examples which illustrate the usage of the new generalized frequency interval controllability and observability gramians as part of the balanced truncation framework are provided to demonstrate the performance of the proposed method.
引用
收藏
页数：15
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