Optimal synchronization of fractional-order chaotic systems subject to unknown fractional order, input nonlinearities and uncertain dynamic using type-2 fuzzy CMAC

In this paper, a new robust optimal control strategy is presented to synchronize a class of fractional-order chaotic systems with unknown fractional orders, uncertain dynamics and input nonlinearities. The dynamics of the system are estimated by an integer-order model, using proposed non-singleton t...

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Bibliographic Details
Published inNonlinear dynamics Vol. 88; no. 4; pp. 2993 - 3002
Main Authors Mohammadzadeh, Ardashir, Ghaemi, Sehraneh
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2017
Springer Nature B.V
Subjects
Automotive Engineering
Cerebellar model articulation controller
Chaos theory
Classical Mechanics
Computer simulation
Control
Dynamical Systems
Engineering
Fuzzy control
Fuzzy systems
Mechanical Engineering
Optimal control
Original Paper
Robust control
Stability analysis
Synchronism
Vibration
Fractional-order chaotic systems
Uncertain dynamics
Optimal synchronization
Type-2 fuzzy neural network
Non-singleton fuzzification
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Summary:In this paper, a new robust optimal control strategy is presented to synchronize a class of fractional-order chaotic systems with unknown fractional orders, uncertain dynamics and input nonlinearities. The dynamics of the system are estimated by an integer-order model, using proposed non-singleton type-2 fuzzy cerebellar model articulation controller (NST2-CMAC). The free parameters of NST2-CMAC are adjusted based on the adaptation laws which are derived from Lyapunov stability analysis. To show the effectiveness of the proposed method, two simulation examples are provided and the results are compared with other methods.
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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-017-3427-z