Robust synchronization of uncertain fractional-order chaotic systems with time-varying delay
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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.
KeywordsTime-varying delay Fractional-order chaotic systems Robust stability analysis Lyapunov–Krasovskii
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Conflicts of interest
The authors declare that they have no conflict of interest.
This article does not contain any studies with human participants or animals performed by any of the authors.
- 3.Balas, M.J., Frost, S.A.: Normal form for linear infinite-dimensional systems in Hilbert space and its role in direct adaptive control of distributed parameter systems. In: AIAA Guidance, Navigation, and Control Conference, p. 1501 (2017)Google Scholar
- 15.Song, X., Song, S., Li, B., Tejado Balsera, I.: Adaptive projective synchronization for time-delayed fractional-order neural networks with uncertain parameters and its application in secure communications. Trans. Inst. Meas. Control 0142331217714523 (2017)Google Scholar
- 18.Fei-Fei, L., Zhe-Zhao, Z.: Synchronization of uncertain fractional-order chaotic systems with time delay based on adaptive neural network control. Acta Phys. Sin. 66(9) (2017). https://doi.org/10.7498/aps.66.090504
- 19.Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. North-Holland Mathematics Studies, vol. 204. Elsevier, Amsterdam (2006)Google Scholar