Reduction Model Approach for Linear Systems With Sampled Delayed Inputs.

Frederic Mazenc 1, 2 Dorothée Normand-Cyrot 3
1 L2S - Laboratoire des signaux et systèmes
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
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : We propose a new construction of exponentially stabilizing sampled feedbacks for continuous-time linear time-invariant systems with an arbitrarily large constant pointwise delay in the inputs. Stability is guaranteed under an assumption on the size of the largest sampling interval. The proposed design is based on an adaptation of the reduction model approach. The stability of the closed loop systems is proved through a Lyapunov functional of a new type, from which is derived a robustness result.
Type de document :
Article dans une revue
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2013, 58 (5), pp.1263-1268. 〈10.1109/tac.2013.2254193 〉
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https://hal.inria.fr/hal-00761296
Contributeur : Frederic Mazenc <>
Soumis le : mercredi 5 décembre 2012 - 11:31:50
Dernière modification le : jeudi 5 avril 2018 - 12:30:23

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Frederic Mazenc, Dorothée Normand-Cyrot. Reduction Model Approach for Linear Systems With Sampled Delayed Inputs.. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2013, 58 (5), pp.1263-1268. 〈10.1109/tac.2013.2254193 〉. 〈hal-00761296〉

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