Asymptotic Stabilization for Feedforward Systems with Delayed Feedback

Frederic Mazenc 1, 2 M. Malisoff 3
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 : A problem of state feedback stabilization of time-varying feedforward systems with a pointwise delay in the input is solved. The approach relies on a time-varying change of coordinates and Lyapunov-Krasovskii functionals. The result applies for any given constant delay, and provides uniformly globally asymptotically stabilizing controllers of arbitrarily small amplitude. The closed-loop systems enjoy input-to-state stability properties with respect to additive uncertainty on the controllers. The work is illustrated through a tracking problem for a model for high level formation flight of unmanned air vehicles.
Type de document :
Article dans une revue
Automatica, Elsevier, 2013, 49 (3), pp.780-787. 〈10.1016/j.automatica.2012.11.049 〉
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https://hal.inria.fr/hal-00761317
Contributeur : Frederic Mazenc <>
Soumis le : mercredi 5 décembre 2012 - 11:47:43
Dernière modification le : vendredi 27 avril 2018 - 14:42:02

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Frederic Mazenc, M. Malisoff. Asymptotic Stabilization for Feedforward Systems with Delayed Feedback. Automatica, Elsevier, 2013, 49 (3), pp.780-787. 〈10.1016/j.automatica.2012.11.049 〉. 〈hal-00761317〉

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