Paper Info
Title
Backstepping-Based Adaptive Fuzzy Synchronization Control for a Class of Fractional-Order Chaotic Systems with Input Saturation
Abstract
In existing backstepping control schemes of fractional-order systems, either using the optional control method or ignoring the fractional-order derivatives of command functions as the analytic calculation of virtual controllers makes the operation becoming prohibitive. This paper proposes an adaptive fuzzy backstepping synchronization control method for a class of factional-order chaotic systems with input saturation and unknown external disturbance, where the fractional-order derivative of the virtual control function is treated as a part of an unknown function. During the backstepping design, the unknown function is approximated by a fuzzy logic system in each step. Then, by using the fractional Lyapunov stability criterion, asymptomatic convergence of the synchronization error can be guaranteed by the proposed control method. Three numerical simulation results confirm the effectiveness of the proposed method.
Year
DOI
Venue
2019
10.1007/s40815-019-00663-5
International Journal of Fuzzy Systems
Keywords
Field
DocType
Adaptive fuzzy control, Fractional-order chaotic system, Backstepping control, Input saturation
Convergence (routing),Synchronization,Backstepping,Saturation (chemistry),Computer simulation,Control theory,Fuzzy logic,Lyapunov stability,Chaotic systems,Mathematics
Journal
Volume
Issue
ISSN
21
5
1562-2479
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Shumin Ha100.34
Heng Liu215327.10
Sheng-Gang Li321329.14
Aijing Liu400.68