Finite-time stability and asynchronously switching control for a class of time-varying switched nonlinear systems

被引：5
|
作者：
Wang, Ronghao [1 ]
Xing, Jianchun [1 ]
Xiang, Zhengrong [2 ]
Yang, Qiliang [1 ]
机构：
[1] Army Engn Univ PLA, Natl Def Engn Coll, Nanjing 210007, Jiangsu, Peoples R China
[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing, Jiangsu, Peoples R China
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2020年 / 42卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Finite-time stability; time-varying switched nonlinear systems; control Lyapunov function; small control property; asynchronously switching control; ADAPTIVE TRACKING CONTROL; PRESCRIBED PERFORMANCE; GLOBAL STABILIZATION; DESIGN; STABILIZABILITY; FORM; ODD;
D O I：
10.1177/0142331219887862
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Finite-time stability and stabilization for switched nonlinear systems has been investigated in the paper. Based on existing works, we find that related results on autonomous switched nonlinear systems cannot be simply extended to non-autonomous systems. A sufficient condition has been proposed for this class of systems using the average dwell time method. Specifically, a control Lyapunov function approach is employed to stabilize the system and the finite-time controller is designed using a small control property. In contrast to autonomous switched systems, a finite-time stabilizer is constructed for time-varying switched nonlinear systems, even under the situation in which the switching mode is different between the system and the controller. Furthermore, the relation between the settling time and the average dwell time has been revealed. Finally, an example case is presented for the obtained result.
引用
收藏
页码：1215 / 1224
页数：10
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