Generalized Gramian Based Frequency Interval Model Reduction for Unstable Systems

被引：0

作者：

Jazlan, Ahmad ^{[1
,2
]}

Sreeram, Victor ^{[1
]}

Togneri, Roberto ^{[1
]}

Ha Binh Minh ^{[3
]}

机构：

[1] Univ Western Australia, Sch Elect & Elect Engn, Nedlands, WA, Australia

[2] IIUM, Fac Engn, Dept Mechatron Engn, Kuala Lumpur, Malaysia

[3] Banking Univ Ho Chi Minh City, Fac Management Informat Syst, 39 Ham Nghi St,Dist 1, Ho Chi Minh City, Vietnam

来源：

2016 AUSTRALIAN CONTROL CONFERENCE (AUCC) | 2016年

关键词：

Model Order Reduction; Controllability and Observability Gramians; Linear Systems; Unstable Systems; Lyapunov Equations; BALANCED TRUNCATION; ORDER REDUCTION; TIME;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Frequency interval controllability and observability gramian matrices are important in order to understand the characteristics of systems which are inherently frequency dependent. Obtaining these frequency interval controllability and observability gramian matrices requires solving a pair of Lyapunov equations. However for certain systems these Lyapunov equations are not solvable. In addition the eigenvalues of the product of the frequency interval controllability and observability gramians may also be complex numbers and therefore these gramians are not applicable to used in the context of model reduction. To overcome these issues, generalized frequency interval controllability and observability gramians are introduced in this paper and the applicability of these generalized gramians to be used in model reduction is demonstrated.

引用

页码：43 / 47

页数：5

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