Unknown Input Observer Design for Linear Fractional-Order Time-Delay Systems

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Authors

  • Y. Boukal Université de Lorraine, Centre de Recherche en Automatique de Nancy (CRAN UMR-7039, CNRS), IUT de Longwy, 186 rue de Lorraine 54400, Cosnes et Romain, France; Université Hassan II, Faculté des Sciences Ain-Chock, Laboratoire Physique et Matériaux Micro électronique Automatique et Thermique BP: 5366 Maarif, Casablanca 20100, Morocco Author
  • M. Darouach Université de Lorraine, Centre de Recherche en Automatique de Nancy (CRAN UMR-7039, CNRS), IUT de Longwy, 186 rue de Lorraine 54400, Cosnes et Romain, France Author
  • M. Zasadzinski Université de Lorraine, Centre de Recherche en Automatique de Nancy (CRAN UMR-7039, CNRS), IUT de Longwy, 186 rue de Lorraine 54400, Cosnes et Romain, France Author
  • N.E. Radhy Université Hassan II, Faculté des Sciences Ain-Chock, Laboratoire Physique et Matériaux Micro électronique Automatique et Thermique BP: 5366 Maarif, Casablanca 20100, Morocco Author

DOI:

https://doi.org/10.5890/JAND.2015.06.002

Abstract

This paper considers unknown input functional fractional order observer design for fractional-order linear time-invariant (LTI) systems with a constant time delay. After given the existence conditions of such observer, based on the fractional order Lyapunov stability approach, a sufficient condition for the asymptotic stability of the estimation error is given in a linear matrix inequality (LMI) formulation. The obtained results are illustrated by a numerical example.

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PublishedJune 2015

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How to Cite

Boukal, Y., Darouach, M., Zasadzinski, M., & Radhy, N. (2026). Unknown Input Observer Design for Linear Fractional-Order Time-Delay Systems. Journal of Applied Nonlinear Dynamics, 4(2), 117-130. https://doi.org/10.5890/JAND.2015.06.002