Smooth Control Steering Global Predefined-Time Synchronization for a Class of Nonlinear Systems

被引：6
|
作者：
Wu, Jie [1 ]
Wang, Xiaofeng [1 ]
Liu, Wei [2 ]
机构：
[1] Jiangnan Univ, Sch Artificial Intelligence & Comp Sci, Wuxi 214122, Peoples R China
[2] Suzhou Univ Sci & Technol, Sch Mech Engn, Suzhou 215009, Peoples R China
来源：
IEEE CONTROL SYSTEMS LETTERS | 2023年 / 7卷
基金：
中国国家自然科学基金;
关键词：
Synchronization; Nonlinear systems; Lyapunov methods; Protocols; Control systems; Numerical simulation; Neural networks; Nonlinear system; synchronization; predefined-time; FINITE-TIME; STABILIZATION; CHAOS;
D O I：
10.1109/LCSYS.2022.3226107
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 letter addresses the problem of robust global predefined-time synchronization for a class of nonlinear systems, in which the settling-time is explicit compared with the conventional fixed-time synchronization. Specially, the designed control scheme is smooth, namely differentiable, which is distinguished from the traditional fast control methods containing the signum function. By the Lyapunov stability analysis, the sufficient criterion is derived for achieving the global predefined-time synchronization. More importantly, the obtained results have been directly applied into synchronizing two chaotic systems. Finally, the numerical simulation on predefined-time synchronization of chaotic systems is arranged for verifying the correction and effectiveness of theoretical results.
引用
收藏
页码：1255 / 1260
页数：6
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