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Predefined-time adaptive fault tolerant anti-synchronization control for unified chaotic system with unknown actuator faults

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  • Zhai, Junchang
  • Qin, Yuping

Abstract

The issue of predefined-time chaos anti-synchronization of unified chaotic systems with unknown actuator faults and unknown parameter is investigated in this paper. Adaptive technique is employed to approximate the unknown parameter and a new piecewise function method is presented to cope with the singularity issue in the derivation of virtual controller. By exploiting adaptive auxiliary signals to handle unknown actuator faults such that the actual controller can be properly constructed without using the prior knowledge of time-varying fault parameters. Based on Lyapunov stability theory and adaptive backstepping technique, an adaptive fault tolerant anti-synchronization control scheme is given, such that the error signals can converge to the stability region in predefined time. The simulations show the validity of the presented method.

Suggested Citation

  • Zhai, Junchang & Qin, Yuping, 2026. "Predefined-time adaptive fault tolerant anti-synchronization control for unified chaotic system with unknown actuator faults," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    • Handle: RePEc:eee:chsofr:v:203:y:2026:i:c:s0960077925017187
    DOI: 10.1016/j.chaos.2025.117705
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