A novel adaptive predefined-time sliding mode control scheme for synchronizing fractional order chaotic systems

Yunkang Sun, Yuquan Chen, Bing Wang and Cheng Ma

Chaos, Solitons & Fractals, 2024, vol. 189, issue P1

Abstract: In this paper, a novel adaptive predefined-time sliding model control scheme is presented for synchronizing fractional order chaotic systems subject to model uncertainties and external disturbances. A new sufficient criterion for predefined-time stability is proposed and proven to be valid by using the zero distribution property of sine functions. Based on the proposed criterion, a novel adaptive fractional order predefined-time sliding mode surface is designed and it is rigorously proven that the error states could converge to zero within a predefined time. Finally, a novel adaptive fractional order controller is proposed to ensure that the designed sliding mode surface can be reached within a predefined time. Numerous simulation results demonstrate that compared with the existing fixed-time control scheme, the proposed control scheme has the advantage of a simpler structure, fewer parameters and stronger robustness to the variation of initial values.

Keywords: Fractional order chaotic system; Predefined-time convergence; Sliding mode control; Chaotic system synchronization (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924011627

DOI: 10.1016/j.chaos.2024.115610

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