Stabilization of Linear Input Delayed Dynamics Under Sampling

Frederic Mazenc 1, 2 Dorothée Normand-Cyrot 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
3 Division Systèmes
L2S - Laboratoire des signaux et systèmes
Abstract : For continuous-time linear time-invariant systems with an arbitrarily large constant pointwise delay in the inputs, we propose a new construction of exponentially stabilizing sampled control laws. Stability is achieved under an assumption on the size of the largest sampling interval. The proposed design is based on an adaptation of the two main results of the reduction model approach. The stability of the closed loop systems is proved through a Lyapunov functional of a new type.
Type de document :
Communication dans un congrès
51th IEEE Conference on Decision and Control, Dec 2012, Mauii, Hawaii, United States. pp.7523-7528, 2012
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https://hal.inria.fr/hal-00760089
Contributeur : Frederic Mazenc <>
Soumis le : lundi 3 décembre 2012 - 14:23:05
Dernière modification le : jeudi 11 janvier 2018 - 06:26:31

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  • HAL Id : hal-00760089, version 1

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Frederic Mazenc, Dorothée Normand-Cyrot. Stabilization of Linear Input Delayed Dynamics Under Sampling. 51th IEEE Conference on Decision and Control, Dec 2012, Mauii, Hawaii, United States. pp.7523-7528, 2012. 〈hal-00760089〉

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