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Stabilization of some fractional neutral delay systems which possibly possess an infinite number of unstable poles

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
2 L2S - Laboratoire des signaux et systèmes
Abstract : We consider fractional delay systems of neutral type and prove that many systems with infinitely many unstable poles cannot be stabilized by the class of rational fractional controllers of commensurate order. For a class of fractional neutral delay systems with an infinite number of poles asymptotic to the imaginary axis from the right or left hand side, we are able to derive a parametrization of all stabilizing controllers from fractional PI controllers obtained from previous work.
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https://hal.inria.fr/hal-00930192
Contributor : Le Ha Vy Nguyen <>
Submitted on : Tuesday, January 14, 2014 - 2:21:53 PM
Last modification on : Tuesday, April 13, 2021 - 12:20:10 PM

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CNRS | INRIA | L2S | SUP_LSS | SUPELEC | SUP_SYSTEMES | DISCO-L2S

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Le Ha Vy Nguyen, Catherine Bonnet. Stabilization of some fractional neutral delay systems which possibly possess an infinite number of unstable poles. C. Bonnet and H. Mounier and H. Ozbay and A. Seuret. Low complexity controllers for time-delay systems, Springer, pp.47-60, 2014, ⟨10.1007/978-3-319-05576-3_4⟩. ⟨hal-00930192⟩

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