Stabilization of quasi-one-sided Lipschitz nonlinear systems

被引:36
作者
Fu, Fengyu [1 ]
Hou, Mingzhe [1 ]
Duan, Guangren [1 ]
机构
[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
基金
中国国家自然科学基金;
关键词
feedback control; quasi-one-sided Lipschitz condition; nonlinear systems; linear matrix inequality; OBSERVER DESIGN;
D O I
10.1093/imamci/dns023
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 is concerned with the problems of state feedback and output feedback control for a class of nonlinear systems. The nonlinearity of this class of nonlinear systems is assumed to satisfy a global quasi-one-sided Lipschitz condition. Sufficient conditions for the existence of state feedback controller and output feedback controller are presented. Methods of calculating the controller gain matrices are derived in terms of linear matrix inequalities. The effectiveness of our results is tested in a series of numerical experiments.
引用
收藏
页码:169 / 184
页数:16
相关论文
共 21 条
[1]   Observers for Lipschitz non-linear systems [J].
Aboky, C ;
Sallet, G .
INTERNATIONAL JOURNAL OF CONTROL, 2002, 75 (03) :204-212
[2]   A unifying point of view on output feedback designs for global asymptotic stabilization [J].
Andrieu, V. ;
Praly, L. .
AUTOMATICA, 2009, 45 (08) :1789-1798
[3]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[4]   Output feedback stabilization for a class of Lipschitz nonlinear systems [J].
Choi, HL ;
Lim, JT .
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2005, E88A (02) :602-605
[5]  
Dekker K., 1984, Stability of Runge-Kutta methods for stiff nonlinear differential equations, CWI Monographs
[6]  
Fu Q, 2010, CHIN CONTR CONF, P309
[7]   A note on observer for one-sided Lipschitz non-linear systems [J].
Hu, Guang-Da .
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2008, 25 (03) :297-303
[8]   Observers for one-sided Lipschitz non-linear systems [J].
Hu, Guang-Da .
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2006, 23 (04) :395-401
[9]   Nonlinear observers for autonomous Lipschitz continuous systems [J].
Kreisselmeier, G ;
Engel, R .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (03) :451-464
[10]   Full-order and reduced-order observers for Lipschitz descriptor systems: The unified LMI approach [J].
Lu, Guoping ;
Ho, Daniel W. C. .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (07) :563-567