Model reduction of discrete-time switched linear systems over finite-frequency ranges

被引：11
|
作者：
Shi, Xuefei [1 ]
Ding, Da-Wei [1 ]
Li, Xiaoli [1 ]
Shi, Zhiguo [2 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
[2] Univ Sci & Technol Beijing, Sch Comp & Commun Engn, Beijing 100083, Peoples R China
来源：
NONLINEAR DYNAMICS | 2013年 / 71卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Model reduction; Switched linear systems; Finite frequency; BALANCED TRUNCATION; STABILITY; DESIGN;
D O I：
10.1007/s11071-012-0666-x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper is concerned with the model reduction problem of a class of discrete-time switched linear systems over finite-frequency ranges. By the aid of generalized Kalman-Yakubovich-Popov (GKYP) lemma and switched quadratic Lyapunov function, sufficient conditions for model reduction of switched linear systems over low-frequency, middle-frequency, and high-frequency ranges are derived, respectively. The proposed method can reach a better approximation accuracy than the existing full-frequency ones over the finite-frequency interval. An example is given to illustrate its effectiveness.
引用
收藏
页码：361 / 370
页数：10
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