Input-output Finite-time Stability of Switched Singular Continuous-time Systems

被引:11
作者
Feng, Tian [1 ]
Wu, Baowei [1 ]
Wang, Yue-E [1 ]
Chen, YangQuan [2 ]
机构
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Peoples R China
[2] Univ Calif, Mechatron Embedded Syst & Automat MESA Lab, Merced, CA 95348 USA
关键词
Average dwell time switching; input-output finite-time stability; Lyapunov function; switched singular system; LINEAR-SYSTEMS; DESCRIPTOR SYSTEMS; STABILIZATION;
D O I
10.1007/s12555-020-0203-5
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 problem of input-output finite-time stability (IO-FTS) for a class of switched singular continuous-time systems. First, the concept of IO-FTS is extended to switched singular systems. Then, by using the average dwell time switching approach and constructing multiple Lyapunov functions, a sufficient condition of IO-FTS for the considered system is presented in the form of linear matrix inequalities (LMIs). Furthermore, based on the derived conditions, a suitable state feedback controller is designed to stabilize the switched singular systems. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed technique.
引用
收藏
页码:1828 / 1835
页数:8
相关论文
共 27 条
[1]   Input-output finite time stabilization of linear systems [J].
Amato, F. ;
Ambrosino, R. ;
Cosentino, C. ;
De Tommasi, G. .
AUTOMATICA, 2010, 46 (09) :1558-1562
[2]   Input-output finite-time stability of linear systems [J].
Amato, F. ;
Ambrosino, R. ;
Cosentino, C. ;
De Tommasi, G. ;
Montefusco, F. .
MED: 2009 17TH MEDITERRANEAN CONFERENCE ON CONTROL & AUTOMATION, VOLS 1-3, 2009, :342-346
[3]   Finite-time stability of switched positive linear systems [J].
Chen, Guopei ;
Yang, Ying .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (01) :179-190
[4]   Input-output finite-time stabilization of linear systems with finite-time boundedness [J].
Guo, Yang ;
Yao, Yu ;
Wang, Shicheng ;
Ma, Kemao ;
Liu, Kai ;
Guo, Jian .
ISA TRANSACTIONS, 2014, 53 (04) :977-982
[5]   Hybrid mode-switched control of DC-DC boost converter circuits [J].
Gupta, P ;
Patra, A .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (11) :734-738
[6]   Input-Output Finite-Time Stability of Discrete-Time Impulsive Switched Linear Systems with State Delays [J].
Huang, Shipei ;
Xiang, Zhengrong ;
Karimi, Hamid Reza .
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (01) :141-158
[7]  
Kamenkov G., 1953, J. Appl. Math. Mech, V17, P529
[8]  
Lei M., 2019, INT J CONTROL AUTOM, V17, P2473, DOI [10.1007/s12555-018-0661-1, DOI 10.1007/S12555-018-0661-1]
[9]  
Liu LP, 2017, J CONTROL SCI ENG, V2017, DOI 10.1155/2017/4896764
[10]   ON INITIAL INSTANTANEOUS JUMPS OF SINGULAR SYSTEMS [J].
LIU, WQ ;
YAN, WY ;
TEO, KL .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (09) :1650-1655