Noniterative H∞-Based Model Order Reduction of LTI Systems Using LMIs

被引：5

作者：

Nobakhti, Amin ^{[1
]}

Wang, Hong ^{[1
]}

机构：

[1] Univ Manchester, Control Syst Ctr, Manchester M60 1QD, Lancs, England

来源：

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY | 2009年 / 17卷 / 02期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

H-infinity norm; linear matrix inequalities (LMIs); model order reduction; multivariable systems; rank reduction; LINEAR MATRIX INEQUALITIES; BALANCED SYSTEMS; REALIZATIONS; TIME;

D O I：

10.1109/TCST.2008.2001052

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 brief addresses the model order reduction problem for linear time invariant (LTI) systems. The problem is to minimize the H. norm of the error between the original system and the reduced system, which is known to be a nonconvex optimization problem. Based on this, the brief proposes a convex suboptimal solution which is expressed in terms of linear matrix inequalities (LMIs). The performance of the proposed method is assessed through application to several large order systems and compared with the well-known Hankel Norm model order reduction method.

引用

页码：494 / 501

页数：8

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