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

被引:1
作者
Xuefei Shi
Da-Wei Ding
Xiaoli Li
Zhiguo Shi
机构
[1] University of Science and Technology Beijing,School of Automation and Electrical Engineering
[2] University of Science and Technology Beijing,School of Computer and Communication Engineering
来源
Nonlinear Dynamics | 2013年 / 71卷
关键词
Model reduction; Switched linear systems; Finite frequency;
D O I
暂无
中图分类号
学科分类号
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.
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页码:361 / 370
页数:9
相关论文
共 53 条
[1]  
Liberzon D.(1999)Basic problems in stability and design of switched systems IEEE Control Syst. Mag. 19 59-70
[2]  
Morse A.S.(2005)Analysis and synthesis of switched linear control systems Automatica 41 181-195
[3]  
Sun Z.(2009)Stability and stabilizability of switched linear systems: a short survey of recent results IEEE Trans. Autom. Control 54 308-322
[4]  
Ge S.S.(1998)Multiple Lyapunov functions and other analysis tools for switched and hybrid systems IEEE Trans. Autom. Control 43 475-482
[5]  
Lin H.(2008)On stability, Automatica 44 1220-1232
[6]  
Antsaklis P.J.(2002)-gain and IEEE Trans. Autom. Control 47 1883-1887
[7]  
Branicky M.S.(2010) control for switched systems IET Control Theory Appl. 4 381-390
[8]  
Zhao J.(2004)Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach Int. J. Control 77 748-766
[9]  
David J.H.(1981) Static Output Feedback Control for Discrete-Time Switched Linear Systems with Average Dwell Time IEEE Trans. Autom. Control 26 17-32
[10]  
Daafouz J.(1984)A survey of model reduction by balanced truncation and some new results Int. J. Control 39 1115-1195