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On synchronisation of a class of complex chaotic systems with complex unknown parameters via integral sliding mode control

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Abstract

Chaotic systems demonstrate complex behaviour in their state variables and their parameters, which generate some challenges and consequences. This paper presents a new synchronisation scheme based on integral sliding mode control (ISMC) method on a class of complex chaotic systems with complex unknown parameters. Synchronisation between corresponding states of a class of complex chaotic systems and also convergence of the errors of the system parameters to zero point are studied. The designed feedback control vector and complex unknown parameter vector are analytically achieved based on the Lyapunov stability theory. Moreover, the effectiveness of the proposed methodology is verified by synchronisation of the Chen complex system and the Lorenz complex systems as the leader and the follower chaotic systems, respectively. In conclusion, some numerical simulations related to the synchronisation methodology is given to illustrate the effectiveness of the theoretical discussions.

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Authors and Affiliations

  1. Electrical and Computer Engineering Faculty, Hakim Sabzevari University, Sabzevar, Iran

    Hamed Tirandaz & Ali Karami-Mollaee

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  1. Hamed Tirandaz
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  2. Ali Karami-Mollaee
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Correspondence to Hamed Tirandaz.

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Tirandaz, H., Karami-Mollaee, A. On synchronisation of a class of complex chaotic systems with complex unknown parameters via integral sliding mode control. Pramana - J Phys 90, 76 (2018). https://doi.org/10.1007/s12043-018-1565-6

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  • DOI: https://doi.org/10.1007/s12043-018-1565-6

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