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ISS Interval Observers for Nonlinear Systems Transformed Into Triangular Systems

Frédéric Mazenc 1 Olivier Bernard 2
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
2 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 : Designing an interval observer with stability properties for nonlinear systems, which are not cooperative and not globally Lipschitz, is an open problem. This paper studies a general canonical structure for which interval observers with input to state stability (ISS) properties can be derived. This canonical block triangular nonlinear structure is rather general and may result from a change of coordinates or an output injection. We provide a general method for explicitly constructing framers for systems for which can be given such a structure. We also construct ISS interval observers when additional properties are satisfied. The systems we consider are in general not cooperative and not globally Lipschitz. We illustrate the constructions by designing a framer and an ISS interval observer for two models of bioreactors. Copyright © 2012 John Wiley & Sons, Ltd.
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https://hal.inria.fr/hal-01088143
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Submitted on : Thursday, November 27, 2014 - 2:41:07 PM
Last modification on : Thursday, July 9, 2020 - 4:08:02 PM

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Frédéric Mazenc, Olivier Bernard. ISS Interval Observers for Nonlinear Systems Transformed Into Triangular Systems. International Journal of Robust and Nonlinear Control, Wiley, 2014, 24 (7), pp.1241-1261. ⟨10.1002/rnc.2937⟩. ⟨hal-01088143⟩

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