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Robust Adaptive Multi-Switching Synchronization of Multiple Different Orders Unknown Chaotic Systems

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Abstract

Multi-switching synchronization (MSS) of multiple different orders unknown chaotic (UC) systems confines hacking in the digital transmission process. Similarly, the suppression of undesirable chattering increases synchronization performance. This paper proposes a new robust synchronization control (RASC) technique and discusses the MSS of multiple different orders UC systems. This controller accomplishes (i) quick convergence, (ii) reduces the transient oscillations, and (iii) the rate of convergence decreases in the vicinity of the origin that causes the suppression of chattering. Analysis based on the Lyapunov direct method assures this convergence behavior with any positive values of the feedback gains. This work also provides parameters updated law that estimates the true values of unknown parameters. Numerical examples of five UC systems different orders are simulated. The computer based graphical results validate the efficiency and performance of the proposed RASC technique and the synchronization strategy when compare to peer works. In the simulation, the proposed synchronization strategy successfully recovers an encrypted received image on a communication channel. The article suggests some future research problems to extend the use of the proposed work.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Sultan Qaboos University, Qaboos, Oman

    Shafiq Muhammad

  2. Department of General Requirements, College of Applied Sciences Nizwa, Nizwa, Oman

    Ahmad Israr & Mohammed Ambusaidi

  3. Department of Mathematics, Payame Noor University, Noor, Iran

    Naderi Bashir

Authors
  1. Shafiq Muhammad
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  2. Ahmad Israr
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  3. Mohammed Ambusaidi
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  4. Naderi Bashir
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Corresponding authors

Correspondence to Ahmad Israr or Mohammed Ambusaidi.

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This paper was recommended for publication by Editor LIU Guoping.

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Muhammad, S., Israr, A., Ambusaidi, M. et al. Robust Adaptive Multi-Switching Synchronization of Multiple Different Orders Unknown Chaotic Systems. J Syst Sci Complex 33, 1330–1359 (2020). https://doi.org/10.1007/s11424-020-8239-4

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  • DOI: https://doi.org/10.1007/s11424-020-8239-4

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