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.

引用

页码：361 / 370

页数：9

共 53 条

[21]

Lam J.(2005)A new frequency weighted balanced truncation method and an error bound IEEE Trans. Autom. Control 50 41-59

[22]

Wang C.(2009)Model reduction in limited time and frequency intervals Prog. Nat. Sci. 19 1625-1633

[23]

Zhang L.(2012)Model reduction of discrete linear systems via frequency-domain balanced structure Nonlinear Dyn. 70 409-420

[24]

Shi P.(1994) model reduction of linear continuous-time systems over finite frequency interval Int. J. Robust Nonlinear Control 4 421-448

[25]

Boukas E.(2010)Generalized KYP lemma: unified frequency domain inequailities with design applications IEEE Trans. Fuzzy Syst. 18 935-945

[26]

Wang C.(undefined)Finite frequency undefined undefined undefined-undefined

[27]

Zhang L.(undefined) filtering for uncertain discrete-time switched linear systems undefined undefined undefined-undefined

[28]

Boukas E.(undefined)Fault detection for switched systems with finite-frequency specifications undefined undefined undefined-undefined

[29]

Shi P.(undefined)A linear matrix inequality approach to undefined undefined undefined-undefined

[30]

Wu L.(undefined) control undefined undefined undefined-undefined

← 1 2 3 4 5 6 →