Stabilization for nonlinear fractional-order time-varying switched systems

被引：7
|
作者：
Peng, Xiao [1 ]
Wang, Yijing [1 ]
Zuo, Zhiqiang [1 ]
机构：
[1] Tianjin Univ, Sch Elect & Informat Engn, Tianjin Key Lab Proc Measurement & Control, Tianjin 300072, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2023年 / 25卷 / 02期
基金：
中国国家自然科学基金;
关键词：
fractional-order systems; nonlinear time-varying systems; periodic switching law; indefinite Lyapunov functions; differential inclusion; STABILITY; STATE;
D O I：
10.1002/asjc.2939
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 deals with the global asymptotic stabilization problem for discontinuous nonlinear time-varying switched systems in the sense of fractional-order. Via the designed periodic switching law, some criteria are firstly developed. It is shown that the derivatives of the constructed Lyapunov functions are allowed to be indefinite. Several corollaries are further derived, and some existing results can be regarded as special cases of our obtained results. Finally, our findings are verified by three numerical examples and one experiment.
引用
收藏
页码：1432 / 1447
页数：16
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