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
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 09期
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
相关论文
共 50 条
  • [1] Fixed-Time Stabilization of a Class of Stochastic Nonlinear Systems
    Long, Zhenzhen
    Zhou, Wen
    Fang, Liandi
    Zhu, Daohong
    [J]. ACTUATORS, 2024, 13 (01)
  • [2] Robust stabilization of a class of time-delay nonlinear systems
    Nguang, SK
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (04) : 756 - 762
  • [3] Global stabilization of a class of time-delay nonlinear systems
    Zhang, X
    Cheng, Z
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2005, 36 (08) : 461 - 468
  • [4] Robust stabilization of a class of nonlinear time-delay systems
    Hua, CC
    Guan, XP
    Shi, P
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 155 (03) : 737 - 752
  • [5] Adaptive Fixed-Time Stabilization for a Class of Uncertain Nonlinear Systems
    Meng, Qingtan
    Ma, Qian
    Shi, Yang
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (11) : 6929 - 6936
  • [6] Adaptive fixed-time stabilization for a class of nonlinear uncertain systems
    Zhao, Yan
    Yao, Jianli
    Tian, Jie
    Yu, Jiangbo
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (05) : 8241 - 8260
  • [7] Comments on "Robust stabilization of a class of time-delay nonlinear systems"
    Guan, XP
    Hua, CC
    Duan, GR
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (05) : 907 - 908
  • [8] ROBUST STABILIZATION FOR A CLASS OF TIME-DELAY NONLINEAR-SYSTEMS
    NGUANG, SK
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1994, 141 (05): : 285 - 288
  • [9] Adaptive stabilization of a class of time-delay nonlinear uncertain systems
    Bi, Weiping
    Zhang, Yanbang
    Zhang, Fen
    [J]. 2006 CHINESE CONTROL CONFERENCE, VOLS 1-5, 2006, : 2171 - +
  • [10] Notes to robust stabilization of a class of time-delay nonlinear systems
    Li, Junmin
    Chen, Weisheng
    Li, Jing
    Ho, D. W. C.
    [J]. WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 1017 - +
12345