Stabilization for Feedforward Systems with Delay in the Input

Frederic Mazenc 1, 2 M. Malisoff 3
2 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 solve a family of uniform global asymptotic stabilization problems for time varying feedforward systems with a delayed input. Our solution relies on a time-varying change of coordinates and Lyapunov-Krasovskii functionals. It applies under any given constant delay, and provides controllers of arbitrarily small amplitude. We also prove input-to-state stability with respect to additive disturbances on the controllers under certain bounds on the disturbances. We demonstrate our work using a tracking problem for a model that is suitable for high level formation flight of unmanned air vehicles.
Type de document :
Communication dans un congrès
51th IEEE Conference on Decision and Control (CDC'12), Dec 2012, Maui, Hawaii, United States. IEEE, pp.3892-3897, 2012, Proceedings of the 51th IEEE Conference on Decision and Control. 〈http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6426770&tag=1〉
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Contributeur : Frederic Mazenc <>
Soumis le : mardi 4 décembre 2012 - 11:18:12
Dernière modification le : jeudi 5 avril 2018 - 12:30:13

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  • HAL Id : hal-00760656, version 1

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Frederic Mazenc, M. Malisoff. Stabilization for Feedforward Systems with Delay in the Input. 51th IEEE Conference on Decision and Control (CDC'12), Dec 2012, Maui, Hawaii, United States. IEEE, pp.3892-3897, 2012, Proceedings of the 51th IEEE Conference on Decision and Control. 〈http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6426770&tag=1〉. 〈hal-00760656〉

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