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Event-based predefined-time anti-synchronization for unified chaotic systems and the application to Chua’s circuit

Author

Listed:
  • Ma, Jiawei
  • Zhang, Huaguang
  • Zhang, Juan
  • Wang, Le

Abstract

This paper studies the predefined-time anti-synchronization control problem of unified chaotic systems via event-triggered mechanism. The purpose of this research is to design an anti-synchronization control strategy that enables unified chaotic systems to achieve predefined-time control while saving communication resources. In the process of designing control strategy, the event-triggered mechanism is employed to design controller to minimize the communication burden. The adaptive backstepping control method is applied to approximate the uncertain parameter of the considered systems and the piecewise function is introduced to avoid the singularity problem. With the help of predefined-time control theoretics, two event-based adaptive predefined-time controllers are designed that can achieve anti-synchronization of unified chaotic systems. Unlike existing researches on unified chaotic systems, this paper can achieve precise control of convergence time by utilizing predefined-time control theory. Ultimately, simulation results can verify the validity of the suggested control method.

Suggested Citation

  • Ma, Jiawei & Zhang, Huaguang & Zhang, Juan & Wang, Le, 2024. "Event-based predefined-time anti-synchronization for unified chaotic systems and the application to Chua’s circuit," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    • Handle: RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924010865
    DOI: 10.1016/j.chaos.2024.115534
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