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Actuator and sensor fault detection for a nonlinear fractional-order system with time-varying delay

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Listed:
  • Zhao, Zhemin
  • Zhu, Lingyu
  • Li, Jiafu
  • Du, Dongsheng

Abstract

In this paper, the problem of actuator and sensor fault detection for a nonlinear fractional-order system with time-varying delay is investigated. An observer-based multi-objective fault detection method is proposed for nonlinear fractional-order systems. This method integrates a quadratic function with a Caputo derivative estimation lemma to effectively address nonlinearities, external disturbances, and simultaneous actuator/sensor faults. In order to detect the faults, a memoryless full-order observer is employed as the residual generator. Subsequently, by employing the Razumikhin theorem concerning Caputo derivative estimation of quadratic functions in conjunction with the model-related Lyapunov function technique, sufficient conditions are derived to ensure the asymptotic stability of the error system with an pre-described H∞/H− performance, thereby simultaneously ensuring robustness against disturbances and sensitivity to faults. Finally, an illustrative example is presented to demonstrate the effectiveness of the proposed results.

Suggested Citation

  • Zhao, Zhemin & Zhu, Lingyu & Li, Jiafu & Du, Dongsheng, 2025. "Actuator and sensor fault detection for a nonlinear fractional-order system with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006605
    DOI: 10.1016/j.chaos.2025.116647
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    References listed on IDEAS

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    1. D. Baleanu & S. J. Sadati & R. Ghaderi & A. Ranjbar & T. Abdeljawad (Maraaba) & F. Jarad, 2010. "Razumikhin Stability Theorem for Fractional Systems with Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    2. D. Baleanu & S. J. Sadati & R. Ghaderi & A. Ranjbar & T. Abdeljawad (Maraaba) & F. Jarad, 2010. "Razumikhin Stability Theorem for Fractional Systems with Delay," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-9, June.
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