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

Shafiq Muhammad, Ahmad Israr*, Mohammed Ambusaidi*, Naderi Bashir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1330-1359
Number of pages30
JournalJournal of Systems Science and Complexity
Issue number5
Publication statusPublished - Oct 1 2020


  • Chaos synchronization
  • Lyapunov stability theory
  • robust adaptive controller
  • unknown chaotic systems

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Information Systems


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