Title
Synchronization of uncertain fractional order chaotic systems via adaptive interval type-2 fuzzy sliding mode control
Abstract
In this paper, a novel adaptive interval type-2 fuzzy sliding mode control (AITFSMC) is proposed to handle high level uncertainties facing the fuzzy logic controller (FLC) in dynamic fractional order chaotic systems such as uncertainties in inputs to the FLC, uncertainties in control outputs, linguistic uncertainties and uncertainties associated with the noisy training data. Based on the learning algorithm combining Lyapunov approach and sliding mode control, free parameters of the AITSMC can be tuned on line by output feedback control law and adaptive law to synchronize two different uncertain fractional order chaotic systems. Meanwhile, the chattering phenomena in the control efforts can be reduced. During the design procedure, not only the stability and robustness can be guaranteed but also the external disturbance on the synchronization error can be attenuated. The numerical simulation is performed to illustrate the effectiveness of the proposed control strategy.
Year
DOI
Venue
2011
10.1109/FUZZY.2011.6007354
FUZZ-IEEE
Keywords
Field
DocType
fractional order,flc,aitfsmc,uncertain systems,lyapunov approach,output feedback control law,chaos,learning (artificial intelligence),numerical analysis,chaotic synchronization,high level uncertainties,noisy training data,feedback,chattering phenomena,synchronization,sliding mode control,lyapuinov synthesis,fuzzy logic controller,numerical simulation,linguistic uncertainties,fuzzy control,adaptive fuzzy,adaptive systems,uncertain fractional order chaotic systems,adaptive interval type-2 fuzzy sliding mode control,dynamic fractional order chaotic systems,lyapunov methods,variable structure systems,learning algorithm,synchronisation,uncertainty,fuzzy neural network,fuzzy logic,adaptive system,learning artificial intelligence
Synchronization,Computer simulation,Computer science,Control theory,Adaptive system,Fuzzy logic,Robustness (computer science),Fuzzy control system,Adaptive control,Sliding mode control
Conference
ISSN
ISBN
Citations 
1098-7584 E-ISBN : 978-1-4244-7316-8
978-1-4244-7316-8
6
PageRank 
References 
Authors
0.46
7
3
Name
Order
Citations
PageRank
Tsung-Chih Lin136126.73
Valentina Emilia Balas219537.08
Tun-Yuan Lee3532.63