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Sensor fault estimation for fractional-order descriptor one-sided Lipschitz systems

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Abstract

Up to now, the problem of sensor fault estimation for integer-order descriptor systems has been tackled by several researchers. However, no attempt has been done to estimate sensor faults for fractional-order descriptor systems. In this context, this paper presents a complete methodology to solve this problem. On the other hand, to the best of our knowledge, among all the existing works dealing with the observer design task for fractional-order descriptor systems, no paper has treated the special class of one-sided Lipschitz systems. In this paper, the designed observer is capable of estimating sensor faults for one-sided Lipschitz systems, thanks to a linear matrix inequality technique. In order to validate the theoretical results, a second-order numerical example as well as a third-order one are studied in the simulation section. The simulation results show that the sensor fault estimates are satisfactory.

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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, College of Science, Aljouf University, Aljouf, 2014, Saudi Arabia

    Abdellatif Ben Makhlouf

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

    Abdellatif Ben Makhlouf & Mohamed Ali Hammami

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. Sensor fault estimation for fractional-order descriptor one-sided Lipschitz systems. Nonlinear Dyn 91, 1713–1722 (2018). https://doi.org/10.1007/s11071-017-3976-1

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