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Secure communication for non-ideal channel via robust TS fuzzy observer-based hyperchaotic synchronization

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  • Vafamand, Navid
  • Khorshidi, Shapour
  • Khayatian, Alireza

Abstract

This paper proposes a novel hyperchaotic secure communication scheme for non-ideal communication channels. The proposed approach employs Takagi–Sugeno (TS) fuzzy model and linear matrix inequality (LMI) technique to design a controller which synchronizes the hyperchaotic transmitter and receiver systems. In the presented method, only few numbers of states are needed to be transformed which is consistent with the practical limitations of a non-ideal channel and highly secure communication. Therefore, a robust fuzzy observer is proposed to estimate the other states of the transmitter at the receiver side. Furthermore, since the channel is non-ideal, H∞ performance criterion is employed to derive robust observer and controller against the external disturbance and noise. In order to make the proposed approach more applicable, the sufficient controller and observer design conditions are formulated in terms of linear matrix inequalities (LMIs) which can be solved by convex optimization techniques. In addition, to further remove the effect of the noise on the information recovery, a moving average filter is utilized. Finally, to show the effectiveness and advantages of the proposed approach, the hyperchaotic Lorenz system is considered and the signal is analyzed at the transmitter and receiver sides. Then, the results obtained show the superiority and effectiveness of the proposed method compared with those of the existing approaches.

Suggested Citation

  • Vafamand, Navid & Khorshidi, Shapour & Khayatian, Alireza, 2018. "Secure communication for non-ideal channel via robust TS fuzzy observer-based hyperchaotic synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 116-124.
  • Handle: RePEc:eee:chsofr:v:112:y:2018:i:c:p:116-124
    DOI: 10.1016/j.chaos.2018.04.035
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    References listed on IDEAS

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    1. Asemani, Mohammad Hassan & Majd, Vahid Johari, 2009. "Stability of output-feedback DPDC-based fuzzy synchronization of chaotic systems via LMI," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1126-1135.
    2. Kajbaf, Amin & Akhaee, Mohammad Ali & Sheikhan, Mansour, 2016. "Fast synchronization of non-identical chaotic modulation-based secure systems using a modified sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 84(C), pages 49-57.
    3. Senouci, Abdelkader & Boukabou, Abdelkrim, 2014. "Predictive control and synchronization of chaotic and hyperchaotic systems based on a T–S fuzzy model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 105(C), pages 62-78.
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    Cited by:

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    2. J. Humberto Pérez-Cruz, 2018. "Stabilization and Synchronization of Uncertain Zhang System by Means of Robust Adaptive Control," Complexity, Hindawi, vol. 2018, pages 1-19, December.
    3. Mahmoud, Emad E. & AL-Harthi, Bushra H., 2020. "A hyperchaotic detuned laser model with an infinite number of equilibria existing on a plane and its modified complex phase synchronization with time lag," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    4. Fei Yu & Li Liu & Binyong He & Yuanyuan Huang & Changqiong Shi & Shuo Cai & Yun Song & Sichun Du & Qiuzhen Wan, 2019. "Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application," Complexity, Hindawi, vol. 2019, pages 1-18, November.
    5. Hamid, Syeda Rabiya & Nazir, Muhammad Shahid & Rehan, Muhammad & ur Rashid, Haroon, 2019. "New results on regional observer-based stabilization for locally Lipchitz nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 173-184.

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