In this paper, we study the synchronization of a class of uncertain chaotic systems. Based on the sliding mode control and stability theory in fractional calculus, a new controller is designed to achieve synchronization. Examples are presented to illustrate the effectiveness of the proposed controller, like the synchronization between an integer-order system and a fraction-order system, the synchronization between two fractional-order hyperchaotic systems (FOHS) with nonidentical fractional orders, the antisynchronization between an integer-order system and a fraction-order system, the synchronization between two new nonautonomous systems. The simulation results are in good agreement with the theory analysis and it is noted that the proposed control method is of vital importance for practical system parameters are uncertain and imprecise.
Skip Nav Destination
Article navigation
January 2015
Research-Article
Synchronization and Antisynchronization of a Class of Chaotic Systems With Nonidentical Orders and Uncertain Parameters
Diyi Chen,
Diyi Chen
Department of Electrical Engineering,
Northwest A&F University
,Shaanxi, Yangling 712100
, China
Search for other works by this author on:
Weili Zhao,
Weili Zhao
School of Electrical Engineering,
Xi'an Jiaotong University
,Xi'an, Shaanxi 710049
, China
Search for other works by this author on:
Xinzhi Liu,
Xinzhi Liu
Department of Applied Mathematics,
University of Waterloo
,Waterloo, ON N2L 3G1
, Canada
Search for other works by this author on:
Xiaoyi Ma
Xiaoyi Ma
1
Department of Electrical Engineering,
e-mail: ieee307@163.com
Northwest A&F University
,Shaanxi, Yangling 712100
, China
e-mail: ieee307@163.com
1Corresponding author.
Search for other works by this author on:
Diyi Chen
Department of Electrical Engineering,
Northwest A&F University
,Shaanxi, Yangling 712100
, China
Weili Zhao
School of Electrical Engineering,
Xi'an Jiaotong University
,Xi'an, Shaanxi 710049
, China
Xinzhi Liu
Department of Applied Mathematics,
University of Waterloo
,Waterloo, ON N2L 3G1
, Canada
Xiaoyi Ma
Department of Electrical Engineering,
e-mail: ieee307@163.com
Northwest A&F University
,Shaanxi, Yangling 712100
, China
e-mail: ieee307@163.com
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 21, 2012; final manuscript received May 22, 2013; published online September 12, 2014. Assoc. Editor: Claude-Henri Lamarque.
J. Comput. Nonlinear Dynam. Jan 2015, 10(1): 011003 (8 pages)
Published Online: September 12, 2014
Article history
Received:
June 21, 2012
Revision Received:
May 22, 2013
Citation
Chen, D., Zhao, W., Liu, X., and Ma, X. (September 12, 2014). "Synchronization and Antisynchronization of a Class of Chaotic Systems With Nonidentical Orders and Uncertain Parameters." ASME. J. Comput. Nonlinear Dynam. January 2015; 10(1): 011003. https://doi.org/10.1115/1.4027715
Download citation file:
Get Email Alerts
A Comparative Analysis Among Dynamics Modeling Approaches for Space Manipulator Systems
J. Comput. Nonlinear Dynam (January 2025)
A Finite Difference-Based Adams-Type Approach for Numerical Solution of Nonlinear Fractional Differential Equations: A Fractional Lotka–Volterra Model as a Case Study
J. Comput. Nonlinear Dynam (January 2025)
Nonlinear Dynamic Analysis of Riemann–Liouville Fractional-Order Damping Giant Magnetostrictive Actuator
J. Comput. Nonlinear Dynam (January 2025)
Related Articles
Position Domain Synchronization Control of Multi-Degrees of Freedom Robotic Manipulator
J. Dyn. Sys., Meas., Control (March,2014)
Fixed Time Control and Synchronization for Perturbed Chaotic System Via Nonsingular Terminal Sliding Mode Method
J. Comput. Nonlinear Dynam (March,2021)
A Novel Input–Output Linearization Minimum Sliding Mode Error Feedback Control for Synchronization of FitzHugh–Nagumo Neurons
J. Comput. Nonlinear Dynam (July,2016)
Novel Single Bounded Input Control Synchronization Criterion for a Category of Hyperchaotic and Chaotic Systems in Presence of Uncertainties
J. Comput. Nonlinear Dynam (December,2023)
Related Proceedings Papers
Related Chapters
Fuzzy Sliding Mode Control and Synchronization for a Class of Uncertain Chaotic Systems
International Conference on Information Technology and Computer Science, 3rd (ITCS 2011)
Sliding-Mode Synchronization Control for Fractional-Order Chaotic Systems with Disturbance
Robust Adaptive Control for Fractional-Order Systems with Disturbance and Saturation
Anti-Synchronization Control for Fractional-Order Nonlinear Systems Using Disturbance Observer and Neural Networks
Robust Adaptive Control for Fractional-Order Systems with Disturbance and Saturation