A novel adaptive predefined-time sliding mode control scheme for synchronizing fractional order chaotic systems

被引：0
|
作者：
Sun, Yunkang [1 ]
Chen, Yuquan [1 ]
Wang, Bing [1 ]
Ma, Cheng [1 ]
机构：
[1] School of Artificial Intelligence and Automation, Hohai University, Nanjing,211100, China
来源：
Chaos, Solitons and Fractals | 2024年 / 189卷
基金：
中国国家自然科学基金;
关键词：
Adaptive control systems - Chaotic systems - Synchronization;
D O I：
10.1016/j.chaos.2024.115610
中图分类号：
学科分类号：
摘要：
In this paper, a novel adaptive predefined-time sliding model control scheme is presented for synchronizing fractional order chaotic systems subject to model uncertainties and external disturbances. A new sufficient criterion for predefined-time stability is proposed and proven to be valid by using the zero distribution property of sine functions. Based on the proposed criterion, a novel adaptive fractional order predefined-time sliding mode surface is designed and it is rigorously proven that the error states could converge to zero within a predefined time. Finally, a novel adaptive fractional order controller is proposed to ensure that the designed sliding mode surface can be reached within a predefined time. Numerous simulation results demonstrate that compared with the existing fixed-time control scheme, the proposed control scheme has the advantage of a simpler structure, fewer parameters and stronger robustness to the variation of initial values. © 2024 Elsevier Ltd
引用
收藏
相关论文
共 50 条
  • [41] Predefined-time fractional-order time-varying sliding mode control and its application in hypersonic vehicle guidance law
    Sheng, Yongzhi
    Gan, Jiahao
    Xia, Lei
    NONLINEAR DYNAMICS, 2023, 111 (15) : 14177 - 14198
  • [42] Predefined-time fractional-order time-varying sliding mode control and its application in hypersonic vehicle guidance law
    Yongzhi Sheng
    Jiahao Gan
    Lei Xia
    Nonlinear Dynamics, 2023, 111 : 14177 - 14198
  • [43] Two-Stage Predefined-Time Exact Sliding Mode Control Based on Predefined-Time Exact Disturbance Observer
    Liu, Bojun
    Ma, Wenle
    Zhang, Zhanpeng
    Yi, Yingmin
    ACTUATORS, 2024, 13 (04)
  • [44] A New Adaptive Predefined Time Sliding Mode Control for Nonlinear Systems
    Jia, Chao
    Liu, Xiaohua
    Li, Xinyu
    Xu, Jingyu
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2024, 71 (04) : 2094 - 2098
  • [45] A novel fractional order adaptive sliding mode controller design for chaotic Arneodo systems synchronization
    Rabah, Karima
    Ladaci, Samir
    2017 6TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC' 17), 2017, : 465 - 469
  • [46] Predefined-time sliding mode attitude control for a quadrotor aerial vehicle
    Trentin, Joao F. S.
    Santos, Davi A.
    2022 16TH INTERNATIONAL WORKSHOP ON VARIABLE STRUCTURE SYSTEMS (VSS), 2022, : 59 - 64
  • [47] Finite-time fractional-order adaptive intelligent backstepping sliding mode control of uncertain fractional-order chaotic systems
    Bigdeli, Nooshin
    Ziazi, Hossein Alinia
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (01): : 160 - 183
  • [48] The synchronization of fractional order chaotic systems with different orders based on adaptive sliding mode control
    Huang Li-Lian
    Qi Xue
    ACTA PHYSICA SINICA, 2013, 62 (08)
  • [49] Synchronization of a Class of Fractional-order Chaotic Systems via Adaptive Sliding Mode Control
    Jiang, Weibo
    Ma, Tiedong
    2013 IEEE INTERNATIONAL CONFERENCE ON VEHICULAR ELECTRONICS AND SAFETY (ICVES), 2013, : 229 - 233
  • [50] Adaptive Sliding Mode Control of a Class of Fractional-order Chaotic Systems with Nonlinear Input
    Tian, Xiaomin
    Fei, Shumin
    2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA), 2014,
12345