Title
Synchronization of uncertain chaotic systems based on adaptive type-2 fuzzy sliding mode control
Abstract
A novel direct adaptive interval type-2 fuzzy neural network (FNN) controller in which linguistic fuzzy control rules can be directly incorporated into the controller is developed to synchronize chaotic systems with training data corrupted by noise or rule uncertainties involving external disturbances, in this paper. By incorporating direct adaptive interval type-2 FNN control scheme and sliding mode approach, two non-identical chaotic systems can be synchronized based on Lyapunov stability criterion. Moreover, the chattering phenomena of the control efforts can be reduced and the external disturbance on the synchronization error can be attenuated. The stability of the proposed overall adaptive control scheme will be guaranteed in the sense that all the states and signals are uniformly bounded. From the simulation example, to synchronize two non-identical Chua's chaotic circuits, it has been shown that type-2 FNN controllers have the potential to overcome the limitations of tpe-1 FNN controllers when training data is corrupted by high levels of uncertainty.
Year
DOI
Venue
2011
10.1016/j.engappai.2010.10.002
Eng. Appl. of AI
Keywords
Field
DocType
control effort,tpe-1 fnn controller,chaotic system,direct adaptive control,chaos synchronization,fuzzy control rule,proposed overall adaptive control,interval type-2 fuzzy fnn,mode control,training data,type-2 fnn control scheme,external disturbance,chaotic circuit,type-2 fnn controller,uncertain chaotic system,fuzzy control,adaptive control,sliding mode control,fuzzy neural network
Mathematical optimization,Synchronization,Control theory,Control theory,Computer science,Lyapunov stability,Uniform boundedness,Real-time computing,Adaptive control,Fuzzy control system,Chaotic,Artificial neural network
Journal
Volume
Issue
ISSN
24
1
Engineering Applications of Artificial Intelligence
Citations 
PageRank 
References 
18
1.01
30
Authors
3
Name
Order
Citations
PageRank
Tsung-Chih Lin136126.73
Ming-Che Chen2424.90
Mehdi Roopaei3667.69