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

Xiaojian Tan and Yuming Feng

Chaos, Solitons & Fractals, 2025, vol. 201, issue P1

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.

Keywords: Predefined-time control scheme; Chaotic system synchronization; Sliding mode control; Uncertain parameter (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925011713

DOI: 10.1016/j.chaos.2025.117158

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