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Construction of ISS Interval Observers for Triangular Systems

Frédéric Mazenc 1, 2 Olivier Bernard 3
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
3 BIOCORE - Biological control of artificial ecosystems
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique
Abstract : We consider classes of nonlinear block triangular systems, for which we design interval observers. They possess the well known robustness property of Input to State Stability with respect to the bounds of the time varying disturbances. The systems under study are in general not cooperative and not globally Lipschitz. We illustrate the constructions by two bioreactors models, the first one dealing with competition of two bacterial species and the second one representing a cascade of anaerobic bioreactions.
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Contributor : Frederic Mazenc <>
Submitted on : Saturday, December 1, 2012 - 8:15:44 AM
Last modification on : Monday, January 4, 2021 - 2:46:03 PM


  • HAL Id : hal-00759566, version 1


Frédéric Mazenc, Olivier Bernard. Construction of ISS Interval Observers for Triangular Systems. 51th IEEE Conference on Decision and Control, 2012, Maui, Hawaii, United States. pp.6780-6785. ⟨hal-00759566⟩



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