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

Author

Listed:
  • Sun, Yunkang
  • Chen, Yuquan
  • Wang, Bing
  • Ma, Cheng

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.

Suggested Citation

  • Sun, Yunkang & Chen, Yuquan & Wang, Bing & Ma, Cheng, 2024. "A novel adaptive predefined-time sliding mode control scheme for synchronizing fractional order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924011627
    DOI: 10.1016/j.chaos.2024.115610
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