H2 and Mixed H2/H∞ Model Reduction for Negative Imaginary Systems

被引：0
|
作者：
Yu, Lanlin [1 ]
Xiong, Junlin [1 ]
机构：
[1] Univ Sci & Technol China, Dept Automat, Hefei 230026, Anhui, Peoples R China
来源：
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2017年
基金：
中国国家自然科学基金;
关键词：
STABILITY; PASSIVITY; DESIGN; LEMMA; NORM;
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：
This paper addresses two open problems in the area of model reduction for negative imaginary systems. The first one is the H-2 model reduction problem for stable negative imaginary systems, and the second one is the mixed H-2/H-infinity model reduction problem. Sufficient conditions in terms of matrix inequalities are derived for the existence and construction of H-2 and mixed H-2/H-infinity reduced-order negative imaginary systems. Iterative algorithms are provided to solve the matrix inequalities and to minimize the H-2 approximation error. Finally, numerical examples are used to demonstrate the effectiveness of the proposed model reduction methods.
引用
收藏
页数：6
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