Computing Reachable Sets for Nonlinear Systems in Presence of Bounded Uncertainties

Abstract : In this paper, a method for computing reachable sets of uncertain nonlinear continuous-time systems is proposed. The approach, based on Linear Parameter-Varying (LPV) inclusions of nonlinear systems, relies on a time-varying change of coordinates which ensures some monotony properties in the new base. A sufficient condition ensuring the non divergence of the enclosures is given. The efficiency of the roposed technique is illustrated through computer simulations and it is compared with simulations resulting from a method proposed in previous works relying on comparison theorems for differential inequalities using MÜller's existence theorem.
Type de document :
Communication dans un congrès
European control conference, Jun 2014, Strasbourg, France. pp.7, 2014
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https://hal.archives-ouvertes.fr/hal-00996642
Contributeur : Rihab El Houda Thabet <>
Soumis le : lundi 26 mai 2014 - 16:36:33
Dernière modification le : samedi 9 février 2019 - 01:23:25

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  • HAL Id : hal-00996642, version 1

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Rihab El Houda Thabet, Christophe Combastel, Tarek Raissi, Nacim Ramdani, Ali Zolghadri. Computing Reachable Sets for Nonlinear Systems in Presence of Bounded Uncertainties. European control conference, Jun 2014, Strasbourg, France. pp.7, 2014. 〈hal-00996642〉

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