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Nonlinear Dynamics

, Volume 93, Issue 4, pp 1809–1821 | Cite as

Robust synchronization of uncertain fractional-order chaotic systems with time-varying delay

  • Ardashir Mohammadzadeh
  • Sehraneh Ghaemi
Original Paper
  • 275 Downloads

Abstract

This paper presents a new technique using a recurrent non-singleton type-2 sequential fuzzy neural network (RNT2SFNN) for synchronization of the fractional-order chaotic systems with time-varying delay and uncertain dynamics. The consequent parameters of the proposed RNT2SFNN are learned based on the Lyapunov–Krasovskii stability analysis. The proposed control method is used to synchronize two non-identical and identical fractional-order chaotic systems, with time-varying delay. Also, to demonstrate the performance of the proposed control method, in the other practical applications, the proposed controller is applied to synchronize the master–slave bilateral teleoperation problem with time-varying delay. Simulation results show that the proposed control scenario results in good performance in the presence of external disturbance, unknown functions in the dynamics of the system and also time-varying delay in the control signal and the dynamics of system. Finally, the effectiveness of proposed RNT2SFNN is verified by a nonlinear identification problem and its performance is compared with other well-known neural networks.

Keywords

Time-varying delay Fractional-order chaotic systems Robust stability analysis Lyapunov–Krasovskii 

Notes

Compliance with ethical standards

Conflicts of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

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© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Control Engineering Department, Faculty of Electrical and Computer EngineeringUniversity of TabrizTabrizIran

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