Finite-Time Stabilization for a Class of Nonlinear Singular Systems

被引:3
作者
Wang, Jianxin [1 ]
Wu, Hecheng [1 ]
Ji, Xiaofu [2 ]
Liu, Xuehua [2 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Coll Econ & Management, Nanjing 211106, Jiangsu, Peoples R China
[2] Jiangnan Univ, Sch Internet Things Engn, Wuxi 214122, Jiangsu, Peoples R China
关键词
Linear matrix inequalities; State feedback; Power system dynamics; Vehicle dynamics; Time-varying systems; Closed loop systems; Nonlinear singular systems; finite-time stability; finite-time stabilization; matrix inequality; H-INFINITY CONTROL; DESCRIPTOR SYSTEMS; DELAY; STABILITY; SUBJECT;
D O I
10.1109/ACCESS.2020.3012168
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The finite-time stabilization problem for a class of nonlinear singular systems is studied. Under the assumption that the considered system is impulse controllable, a sufficient condition is provided for the design of a state feedback control law guaranteeing the finite-time stability of the closed-loop system, and an explicit expression of the state feedback gain is also given. The proposed criterion is expressed in terms of strict matrix inequalities which is easy to be verified numerically. A numerical example is given to illustrate the effectiveness of the proposed method.
引用
收藏
页码:138563 / 138568
页数:6
相关论文
共 26 条
[1]   Finite-time control of linear systems subject to parametric uncertainties and disturbances [J].
Amato, F ;
Ariola, M ;
Dorato, P .
AUTOMATICA, 2001, 37 (09) :1459-1463
[2]  
Amato F, 2014, LECT NOTES CONTROL I
[3]   New necessary and sufficient conditions for finite-time stability of impulsive switched linear time-varying systems [J].
Chen, Guopei ;
Yang, Ying .
IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (01) :140-148
[4]  
DAI L, 1989, LECT NOTES CONTR INF, V118, P1
[5]  
Feng Jun-E, 2005, Acta Automatica Sinica, V31, P634
[6]   Robust state feedback H∞ control for uncertain linear discrete singular systems [J].
Ji, X. ;
Su, H. ;
Chu, J. .
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (01) :195-200
[7]   Finite-time stabilisation for a class of nonlinear descriptor systems [J].
Li, Meiqing ;
Sun, Liying .
IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (17) :2399-2406
[8]   Finite-time H∞ control for a class of discrete-time nonlinear singular systems [J].
Li, Meiqing ;
Sun, Liying ;
Yang, Renming .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (13) :5384-5393
[9]   Stabilization for a class of rectangular descriptor systems via time delayed dynamic compensator [J].
Lin, Chong ;
Chen, Jian ;
Chen, Bing ;
Guo, Lei ;
Wang, Qing-Guo ;
Zhang, Ziye .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (04) :1944-1954
[10]   Finite-time H∞ control for a class of nonlinear system with time-varying delay [J].
Liu, Hao ;
Lin, Xiangze .
NEUROCOMPUTING, 2015, 149 :1481-1489