The Synchronization of a Class Fractional-Order Chaotic System by Using the Recovered State Variables and Backstepping Control

被引：0
作者：
Su, Haipeng [1 ]
Luo, Runzi [2 ]
机构：
[1] Jiangxi Agr Univ, Sch Comp & Informat Engn, Nanchang 330045, Peoples R China
[2] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2023年 / 18卷 / 09期
关键词：
chaos synchronization; fractional-order system; output variables; backstepping control;
D O I：
10.1115/1.4062568
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper investigates the synchronization problem of a class of fractional-order chaotic systems with output variables. Based on the measured output variables, the estimations of state variables are obtained by designing proper state observers. By using the recovered state variables and backstepping control, some new controllers are devised and some sufficient conditions for obtaining chaos synchronization are derived. Numerical simulation is used to verify the practicability and effectiveness of the proposed scheme.
引用
收藏
页数：8
相关论文
共 34 条
[1]   Lyapunov functions for fractional order systems [J].
Aguila-Camacho, Norelys ;
Duarte-Mermoud, Manuel A. ;
Gallegos, Javier A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (09) :2951-2957
[2]   Optimal parameter design of fractional order control based INC-MPPT for PV system [J].
Al-Dhaifallah, Mujahed ;
Nassef, Ahmed M. ;
Rezk, Hegazy ;
Nisar, Kottakkaran Sooppy .
SOLAR ENERGY, 2018, 159 :650-664
[3]   Nonsingular Integral-Type Dynamic Finite-Time Synchronization for Hyper-Chaotic Systems [J].
Alattas, Khalid A. ;
Mostafaee, Javad ;
Sambas, Aceng ;
Alanazi, Abdullah K. ;
Mobayen, Saleh ;
Vu, Mai The ;
Zhilenkov, Anton .
MATHEMATICS, 2022, 10 (01)
[4]  
Besancon G., 2007, LECT NOTES CONTROL I
[5]   Novel nonsingular fast terminal sliding mode control for a PMSM chaotic system with extended state observer and tracking differentiator [J].
Chang, Xuejian ;
Liu, Ling ;
Ding, Wen ;
Liang, Deliang ;
Liu, Chongxin ;
Wang, Hanxiao ;
Zhao, Xi .
JOURNAL OF VIBRATION AND CONTROL, 2017, 23 (15) :2478-2493
[6]   Complex dynamics in Chen's system [J].
Chang, Y ;
Chen, GR .
CHAOS SOLITONS & FRACTALS, 2006, 27 (01) :75-86
[7]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[8]   An Adaptive neuro-fuzzy backstepping sliding mode controller for finite time stabilization of fractional-order uncertain chaotic systems with time-varying delays [J].
Dalir, Mehdi ;
Bigdeli, Nooshin .
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2021, 12 (07) :1949-1971
[9]   Difference-Difference Synchronizations of Chaotic and Hyperchaotic Systems [J].
Dongmo, Eric Donald ;
Ojo, Kayode Stephen ;
Woafo, Paul ;
Njah, Abdulahi Ndzi .
JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2022, 11 (02) :487-497
[10]   Adaptive state observer for Lipschitz nonlinear systems [J].
Ekramian, M. ;
Sheikholeslam, F. ;
Hosseinnia, S. ;
Yazdanpanah, M. J. .
SYSTEMS & CONTROL LETTERS, 2013, 62 (04) :319-323
1234