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

Zhemin Zhao, Lingyu Zhu, Jiafu Li and Dongsheng Du

Chaos, Solitons & Fractals, 2025, vol. 199, issue P1

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.

Keywords: Fractional-order system; Fault detection; Razumikhin theorem; Memoryless full-order observer; Time-varying delay (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006605

DOI: 10.1016/j.chaos.2025.116647

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