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A new pre-defined smooth mode control for chaotic synchronization with exponential function

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  • Tan, Xiaojian
  • Feng, Yuming

Abstract

In this paper, we investigate the synchronization problem of a hyperhybrid system that includes a memristor. An exponential function, which outpaces other functions in terms of growth rate, is incorporated into the design of the sliding mode surface. A novel predefined-time sliding mode control strategy is proposed and numerically validated using Lyapunov stability theory. Through rigorous numerical simulations, the effectiveness of the proposed approach is compared against traditional predefined-time sliding mode control and other predefined sliding mode control methods reported in recent literature. The results reveal that the proposed scheme not only reaches the sliding mode surface in a shorter time but also achieves system synchronization significantly faster.

Suggested Citation

  • Tan, Xiaojian & Feng, Yuming, 2025. "A new pre-defined smooth mode control for chaotic synchronization with exponential function," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925011713
    DOI: 10.1016/j.chaos.2025.117158
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    References listed on IDEAS

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