Stabilization of fractional neutral systems with one delay and a chain of poles asymptotic to the imaginary axis

Le Ha Vy Nguyen 1, 2 Catherine Bonnet 1, 2
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
2 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : In this paper we consider the stabilizability of fractional single delay systems of the neutral type which have a chain of poles clustering the imaginary axis. These systems are H∞-stabilizable, however we prove here that the subclass of H∞-stabilizing controllers which are given in terms of polynomials in the Laplace variable s, sv and e-ST (where v is a rational, v ϵ (0,1) and τ real positive is the value of the delay) cannot move the chain of poles far away from the imaginary axis in the left half-plane as they necessarily introduce stable chains of poles clustering the imaginary axis in the closed-loop. Some examples and simulations are given.
Type de document :
Communication dans un congrès
ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014, Jun 2014, Catania, Italy. 〈10.1109/icfda.2014.6967393 〉
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https://hal.inria.fr/hal-01095878
Contributeur : Le Ha Vy Nguyen <>
Soumis le : mardi 16 décembre 2014 - 14:04:01
Dernière modification le : jeudi 5 avril 2018 - 12:30:23

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Le Ha Vy Nguyen, Catherine Bonnet. Stabilization of fractional neutral systems with one delay and a chain of poles asymptotic to the imaginary axis. ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014, Jun 2014, Catania, Italy. 〈10.1109/icfda.2014.6967393 〉. 〈hal-01095878〉

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