Paper Info
Title
Chaos Synchronization of Uncertain Fractional-Order Chaotic Systems With Time Delay Based on Adaptive Fuzzy Sliding Mode Control
Abstract
This paper proposes an adaptive fuzzy sliding mode control (AFSMC) to synchronize two different uncertain fractional-order time-delay chaotic systems, which are infinite dimensional in nature, and time delay is a source of instability. Because modeling the behavior of dynamical systems by fractional-order differential equations has more advantages than integer-order modeling, the adaptive time-delay fuzzy-logic system is constructed to approximate the unknown fractional-order time-delay-system functions. By using Lyapunov stability criterion, the free parameters of the adaptive fuzzy controller can be tuned online by output-feedback-control law and adaptive law. The sliding mode design procedure not only guarantees the stability and robustness of the proposed AFSMC, but it also guarantees that the external disturbance on the synchronization error can be attenuated. The simulation example is included to confirm validity and synchronization performance of the advocated design methodology.
Year
DOI
Venue
2011
10.1109/TFUZZ.2011.2127482
IEEE T. Fuzzy Systems
Keywords
Field
DocType
adaptive law,time delay,adaptive fuzzy sliding mode,uncertain fractional-order chaotic systems,adaptive time-delay fuzzy-logic system,fractional-order differential equation,lyapunov stability criterion,design methodology,chaos synchronization,adaptive fuzzy controller,mode control,unknown fractional-order time-delay-system function,integer-order modeling,fractional-order time-delay chaotic system,adaptive systems,differential equations,fuzzy control,mathematical model,sliding mode control,dynamic system,feedback,control system,control systems,adaptive system,synchronization,differential equation,adaptive control,synchronisation,indexing terms
Synchronization,Control theory,Control theory,Fuzzy logic,Lyapunov stability,Dynamical systems theory,Adaptive control,Fuzzy control system,Mathematics,Synchronization of chaos
Journal
Volume
Issue
ISSN
19
4
1063-6706
Citations 
PageRank 
References 
43
1.75
12
Authors
2
Name
Order
Citations
PageRank
Tsung-Chih Lin136126.73
Tun-Yuan Lee2532.63