Correction to “Unknown input observer design for linear fractional-order time-delay systems” and a new enhanced LMI condition - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Applied Nonlinear Dynamics Année : 2018

Correction to “Unknown input observer design for linear fractional-order time-delay systems” and a new enhanced LMI condition

Résumé

This note considers the work entitled “Unknown Input Observer Design for Linear Fractional-Order Time-Delay Systems”. In the above paper [1], the authors gave the existence conditions of such observer, then based on the fractional order Lyapunov stability approach, a sufficient condition for the asymptotic stability of the estimation error have given in a linear matrix inequality (LMI) formulation which is incorrect. In this note, we give the correction of Theorem 7. The new proposed Theorem can be applied to a large kind of delayed fractional-order-system when the delay is time varying or constant, while the above mentioned paper consider only a constant time delay. The proof is based on the diffusive representation of the fractional order derivative and the indirect Lyapunov approach proposed in [2].
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Dates et versions

hal-01961343 , version 1 (19-12-2018)

Identifiants

Citer

Yassine Boukal, Mohamed Darouach, Michel Zasadzinski, Nour-Edine Radhy. Correction to “Unknown input observer design for linear fractional-order time-delay systems” and a new enhanced LMI condition. Journal of Applied Nonlinear Dynamics, 2018, 7 (1), pp.73-79. ⟨10.5890/JAND.2018.03.006⟩. ⟨hal-01961343⟩
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