Ultimate Bounds and Robust Invariant Sets for Linear Systems with State-Dependent Disturbances

Sorin Olaru 1, 2, 3 Vasso Reppa 1, 2
3 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 objective of this chapter is to present a methodology for computing robust positively invariant sets for linear, discrete time-invariant systems that are affected by additive disturbances, with the particularity that these disturbances are subject to state-dependent bounds. The proposed methodology requires less restrictive assumptions compared to similar established techniques, while it provides the framework for determining the state-dependent (parameterized) ultimate bounds for several classes of disturbances. The added value of the proposed approach is illustrated by an optimization-based problem for detecting the mode of functioning of a switching system.
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Chapitre d'ouvrage
Developments in Model-Based Optimization and Control, 464, pp.339-359, 2015
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01260190
Contributeur : Pascale Lepeltier <>
Soumis le : jeudi 21 janvier 2016 - 16:20:38
Dernière modification le : jeudi 11 janvier 2018 - 06:23:15

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  • HAL Id : hal-01260190, version 1

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Sorin Olaru, Vasso Reppa. Ultimate Bounds and Robust Invariant Sets for Linear Systems with State-Dependent Disturbances. Developments in Model-Based Optimization and Control, 464, pp.339-359, 2015. 〈hal-01260190〉

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