Fixed-time stabilization for a class of nonlinear time-delay systems

被引:3
作者
Wang, Xuhuan [1 ]
Peng, Youhua [1 ]
Xie, Yuande [1 ]
机构
[1] Pingxiang Univ, Lab complex Syst intelligent control, Pingxiang 337055, Jiangxi, Peoples R China
基金
中国国家自然科学基金;
关键词
fixed-time stabilization; Lyapunov-Krasovskii functional; nonlinear system; time-delay; FINITE-TIME; STABILITY; CONSENSUS; DESIGN;
D O I
10.1002/mma.9090
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the problem of fixed-time stabilization (FTS) for a class of second-order nonlinear time-delay systems. Using the fixed-time stability theory and Lyapunov-Krasovskii functional, a design scheme of fixed-time stability for time-delay systems is proposed. This scheme effectively solves the adverse impact of time-delay on the system, and and ensure that the corresponding closed-loop system is stable for a fixed time. The main benefit of the proposed control methods is that the influences of time-delay state and nonlinear uncertainties can be effectively attenuated with the help of feedback method. Finally, the simulation is given to show the effectiveness of the design scheme.
引用
收藏
页码:9876 / 9886
页数:11
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