On stability for discrete-time non-linear singular systems with switching actuators via average dwell time approach

被引:12
作者
Liu, Yunlong [1 ]
Wang, Juan [1 ,2 ]
Gao, Cunchen [3 ]
Gao, Zairui [1 ]
Wu, Xiaojin [1 ]
机构
[1] Weifang Univ, Coll Informat & Control Engn, Weifang 261061, Peoples R China
[2] Zoucheng Ind Pk Adm Commiss, Bur Econ Operat, Jining, Peoples R China
[3] Ocean Univ China, Sch Math Sci, Qingdao, Peoples R China
基金
中国国家自然科学基金;
关键词
Discrete-time; non-linear; singular system; stability; switching actuator; FEEDBACK CONTROLLER-DESIGN; MARKOVIAN JUMP SYSTEMS; DELAY SYSTEMS; STABILIZATION;
D O I
10.1177/0142331216646822
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 aims to study stability for discrete-time non-linear singular systems with switching actuators. A sufficient condition is addressed to ensure that non-linear closed-loop singular systems are input-to-state stable via average dwell time approach and the iterative relationship of discrete-time systems. In the stability criterion, we neither construct a certain Lyapunov function, nor design the specific structure of the control inputs. It is much easier to design each sub-controller of switching actuators via the proposed condition. Finally, a numerical example is provided to demonstrate the feasibility and effectiveness of the results obtained.
引用
收藏
页码:1771 / 1776
页数:6
相关论文
共 40 条
[1]  
[Anonymous], 2012, COMPLEXITY ANAL CONT
[2]  
[Anonymous], 2014, Analysis and Design of Singular Markovian Jump Systems
[3]   On stability and stabilization of singular uncertain Takagi-Sugeno fuzzy systems [J].
Chadli, M. ;
Karimi, H. R. ;
Shi, P. .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (03) :1453-1463
[4]  
Dassios Ioannis K, 2013, BOUND VALUE PROBL, V2013, P1
[5]  
DASSIOSIOANNIS K, 2015, CIRCUITS SYSTEMS AND, V34, P1769, DOI DOI 10.1007/S00034-014-9930-2
[6]   Output regulation for linear singular systems using dual-observer based compensators [J].
Deutscher, Joachim .
INTERNATIONAL JOURNAL OF CONTROL, 2013, 86 (05) :934-941
[7]   H2 output feedback controller design for discrete-time 2D switched systems [J].
Duan, Zhaoxia ;
Xiang, Zhengrong .
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2014, 36 (01) :68-77
[8]   Output feedback controller design of discrete-time linear switching systems [J].
Fan, Guowei ;
Liu, Zhiyuan ;
Chen, Hong ;
Jin, Guang .
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2014, 36 (01) :47-57
[9]   Input-to-state stability analysis for nonlinear switched descriptor systems [J].
Gao, Zai-Rui ;
Shen, Yan-Xia ;
Ji, Zhi-Cheng .
Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2013, 30 (03) :385-391
[10]   Input-to-state stability analysis for a class of nonlinear switched descriptor systems [J].
Gao, Zairui ;
Yang, Kun ;
Shen, Yanxia ;
Ji, Zhicheng .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (16) :2973-2981