International Journal of Robust and Nonlinear Control

Research Article

ISS interval observers for nonlinear systems transformed into triangular systems

Corresponding Author

Frédéric Mazenc

EPI DISCO, Laboratory of Signals and Systems (L2S), UMR CNRS 8506, CNRS-Supélec, 3 rue Joliot Curie, 91192, Gif-sur-Yvette, France

Correspondence to: Frédéric Mazenc, EPI INRIA DISCO, L2S, CNRS-Supélec, 3 rue Joliot Curie, 91192, Gif-sur-Yvette, France.

E-mail: [email protected]

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Olivier Bernard,

Olivier Bernard

EPI BIOCORE, INRIA Sophia-Antipolis, 2004 route des Lucioles, BP 93, 06902 Sophia-Antipolis, France

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Frédéric Mazenc,

Corresponding Author

Frédéric Mazenc

EPI DISCO, Laboratory of Signals and Systems (L2S), UMR CNRS 8506, CNRS-Supélec, 3 rue Joliot Curie, 91192, Gif-sur-Yvette, France

Correspondence to: Frédéric Mazenc, EPI INRIA DISCO, L2S, CNRS-Supélec, 3 rue Joliot Curie, 91192, Gif-sur-Yvette, France.

E-mail: [email protected]

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Olivier Bernard,

Olivier Bernard

EPI BIOCORE, INRIA Sophia-Antipolis, 2004 route des Lucioles, BP 93, 06902 Sophia-Antipolis, France

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First published: 10 December 2012

https://doi.org/10.1002/rnc.2937

Citations: 20

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SUMMARY

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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Volume24, Issue7

10 May 2014

Pages 1241-1261

ISS interval observers for nonlinear systems transformed into triangular systems

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ISS interval observers for nonlinear systems transformed into triangular systems

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