Stabilization of MISO fractional systems with delays

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
Abstract : We consider multi-input single-output (MISO) fractional systems of commensurate fractional orders with different input or output delays. We derive explicit expressions of left and right coprime factorizations over H∞ and of the associated Bézout factors of the transfer matrix of the systems. These factors allow the construction of the Youla-Kučera parametrization of the set of stabilizing controllers which guarantee the internal stability of the closed-loop systems.
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Le Ha Vy Nguyen, Catherine Bonnet. Stabilization of MISO fractional systems with delays. Automatica, Elsevier, 2017, 83, pp.337 - 344. ⟨10.1016/j.automatica.2017.06.032⟩. ⟨hal-01627128⟩

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