Reduction model method for local stabilization of time-varying nonlinear systems with input delays, structured nonlinearities, and uncertainties

Frédéric Mazenc 1 M. Malisoff 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 : The reduction model approach is useful for stabilizing linear systems with arbitrarily long input delays. Here we adapt the approach to time varying nonlinear systems whose nonlinear parts satisfy certain structural conditions. We use Lyapunov-Krasovskii functionals to prove local stability of the closed loop systems. We provide estimates of the basins of attraction, and cover uncertainties acting on the model.
Type de document :
Communication dans un congrès
IEEE American Control Conference 2014, Jun 2014, Portland, United States. 〈10.1109/acc.2014.6858591 〉
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https://hal.inria.fr/hal-01088226
Contributeur : Frederic Mazenc <>
Soumis le : jeudi 27 novembre 2014 - 16:47:46
Dernière modification le : vendredi 27 avril 2018 - 14:42:02

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Frédéric Mazenc, M. Malisoff. Reduction model method for local stabilization of time-varying nonlinear systems with input delays, structured nonlinearities, and uncertainties. IEEE American Control Conference 2014, Jun 2014, Portland, United States. 〈10.1109/acc.2014.6858591 〉. 〈hal-01088226〉

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