Robust H-infinity state feedback control for switched linear systems with linear fractional uncertainties based on LMI

被引：0

作者：

Long Fei ^{[1
]}

Fei Shumin ^{[1
]}

Fu Zhumu ^{[1
]}

Zheng Shiyou ^{[1
]}

机构：

[1] SE Univ, Dept Automat Control, Nanjing 210096, Peoples R China

来源：

PROCEEDINGS OF THE 24TH CHINESE CONTROL CONFERENCE, VOLS 1 AND 2 | 2005年

关键词：

switched systems; robust H-infinity control; linear fractional uncertainty; LMI;

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：

In this paper, we address robust H-infinity state-feedback control for switched linear systems with linear fractional time-varying uncertainties using LMI (linear matrix inequality) approach. First, for a class of unforced switched linear systems, a sufficient condition is derived for asymptotic stabilization with a prescribed disturbance attenuation level only by employing a state-depended switching strategy based on LMI method. Then the robust H-infinity control synthesis via switched state feedback is studied for switched linear system with linear fractional time-varying uncertainties. It is shown that a switched state-feedback controller can be designed to stabilize asymptotically the uncertain switched linear systems with an H-infinity norm bound if a linear matrix inequality condition is feasible under the associated parameters are selected in advance. All the results presented in this paper can be regarded as an extension of some existing results for switched and non-switched linear systems.

引用

页码：930 / 934

页数：5

共 50 条

[1] Robust H∞ Control for Switched Singular Systems with Linear Fractional Uncertainties: a Strict LMI Approach
Lin, Jinxing
Gao, Zhifeng
Gai, Shaoyan
PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 1704 - 1709
[2] Robust H-infinity state feedback control for linear systems with state delay and parameter uncertainty
Ge, JH
Frank, PM
Lin, CF
AUTOMATICA, 1996, 32 (08) : 1183 - 1185
[3] H-infinity output feedback robust repetitive control for uncertain linear systems
Su, Bao-Ku
Zhao, Fu
Liu, Yu
Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology, 2010, 42 (11): : 1696 - 1701
[4] STATE FEEDBACK SINGULAR H infinity CONTROL FOR SWITCHED LINEAR SYSTEMS
Long, F.
Fei, S.
Zheng, S.
CONTROL AND INTELLIGENT SYSTEMS, 2008, 36 (01)
[5] H-infinity control for a class of switched linear singular systems
Electronic and Information Engineering College, Henan University of Science and Technology, Luoyang 471003, China
不详
Kong Zhi Li Lun Yu Ying Yong, 2008, 4 (693-698):
[6] State feedback control of switched linear systems: An LMI approach
Montagner, V. F.
Leite, V. J. S.
Oliveira, R. C. L. F.
Peres, P. L. D.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 194 (02) : 192 - 206
[7] Robust Control for a Class of Markov Switched Linear Systems with Linear Fractional Uncertainties
Huang Hongmei
Long Fei
Fu Pengwei
2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1300 - 1305
[8] H∞ control and quadratic stabilization of switched linear systems with linear fractional uncertainties via output feedback
Long, Fei
Fei, Shumin
Fu, Zhumu
Zheng, Shiyou
Wei, Wei
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (01) : 18 - 27
[9] Robust state feedback stabilization of a class of switched linear systems with uncertainties
Ji Xingmin
PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 2, 2007, : 690 - 692
[10] Observer-based robust H-infinity switched control for uncertain linear singular system
Liu Yifan
Yang Jianying
Zhao Yangyang
2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 4216 - 4221

← 1 2 3 4 5 →