Exponential stability of discrete-time switched systems based on a switched time-varying Lyapunov function

被引:0
作者
Jiang, Na [1 ]
Sun, Yuangong [1 ]
机构
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China
来源
2022 22ND INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS 2022) | 2022年
基金
中国国家自然科学基金;
关键词
discrete-time switched system; switched time-varying Lyapunov function; exponential stability; disturbance; impulse; H-INFINITY CONTROL; DEPENDENT ROBUST STABILITY; NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; DELAY; STABILIZATION; DESIGN;
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
This article investigates some new exponential stability criteria of discrete-time switched systems with both disturbance and impulse. By introducing a novel multiple switched time-varying matrix function, sufficient conditions are presented to ensure the discrete-time switched system to be exponentially stable and achieve H1 performance under the mode-dependent interval dwell-time switching. Eventually, two numerical examples with unstable subsystems are presented which verify the validity of our conclusions.
引用
收藏
页码:93 / 98
页数:6
相关论文
共 23 条
[1]   Stabilization of switched linear systems [J].
Cheng, DZ ;
Guo, L ;
Lin, YD ;
Wang, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) :661-666
[2]   Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].
Daafouz, J ;
Riedinger, P ;
Iung, C .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887
[3]   Discrete-time impulsive and switched systems with delayed impulses: Delay-based criteria on input-to-state stability [J].
Gao, Lijun ;
Liu, Huiying ;
Park, Ju H. ;
Liu, Zihan .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (18) :9109-9126
[4]  
Hou LL, 2010, CHIN CONT DECIS CONF, P4048, DOI 10.1109/CCDC.2010.5498442
[5]   Observer design of discrete-time impulsive switched nonlinear systems with time-varying delays [J].
Li, Xia ;
Xiang, Zhengrong .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 229 :327-339
[6]   Basic problems in stability and design of switched systems [J].
Liberzon, D ;
Morse, AS .
IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05) :59-70
[7]   H∞ performance for uncertain discrete switched systems with interval time-varying delay via switching signal design [J].
Lien, Chang-Hua ;
Yu, Ker-Wei ;
Chung, Long-Yeu ;
Chen, Jenq-Der .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (04) :2484-2494
[8]   Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results [J].
Lin, Hai ;
Antsaklis, Panos J. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (02) :308-322
[9]   Stability analysis of discrete-time switched systems via Multi-step multiple Lyapunov-like functions [J].
Lu, Junjie ;
She, Zhikun ;
Ge, Shuzhi Sam ;
Jiang, Xin .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2018, 27 :44-61
[10]   Exponential stability and robust H∞ control of a class of discrete-time switched non-linear systems with time-varying delays via T-S fuzzy model [J].
Mao, Yanbing ;
Zhang, Hongbin .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2014, 45 (05) :1112-1127