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Robust sensor fault estimation for fractional-order systems with monotone nonlinearities

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Abstract

This paper investigates the problem of sensor fault estimation for systems with monotone nonlinearities and unknown inputs. To the best of our knowledge, such a particular problem is treated for the first time, as only actuator faults have been estimated for this class of nonlinear systems in the literature. The design method is based on an unknown input observer and is particularly effective for integer-order systems and fractional-order systems. This can be regarded as a second contribution in the paper. Indeed, to the best of our knowledge, no papers dealing with the observer design problem for fractional-order systems with monotone nonlinearities exist in the literature. In order to validate the theoretical results, two simulation examples are given, including fractional-order examples and the “integer-order” flexible joint electric drive system.

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Authors and Affiliations

  1. Control and energy management laboratory, National School of Engineering, Sfax University, BP 1173, 3038, Sfax, Tunisia

    Assaad Jmal, Omar Naifar & Nabil Derbel

  2. Department of Mathematics, Faculty of Sciences of Sfax, Sfax University, BP 1171, 3000, Sfax, Tunisia

    Abdellatif Ben Makhlouf & Mohamed Ali Hammami

  3. Department of Mathematics, College of Sciences, Al Jouf University, Sakaka, Saudi Arabia

    Abdellatif Ben Makhlouf

Authors
  1. Assaad Jmal
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  2. Omar Naifar
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  3. Abdellatif Ben Makhlouf
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  4. Nabil Derbel
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  5. Mohamed Ali Hammami
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Correspondence to Assaad Jmal.

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Jmal, A., Naifar, O., Ben Makhlouf, A. et al. Robust sensor fault estimation for fractional-order systems with monotone nonlinearities. Nonlinear Dyn 90, 2673–2685 (2017). https://doi.org/10.1007/s11071-017-3830-5

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  • DOI: https://doi.org/10.1007/s11071-017-3830-5

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