Constructions of Interval Observers for Discrete-time Systems of Luenberger type

Frederic Mazenc 1, 2 Thach Ngoc Dinh 2 Silviu-Iulian Niculescu 1, 2
1 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 : For a class of discrete-time systems with input, output and uncertain terms, a new interval observer is constructed. Its key feature is that it is composed of two copies of classical observers, whose corresponding error equations are in general not nonnegative. It is shown how this interval observer can be modified to cope with the presence of nonlinear terms and disturbances and how asymptotic stability of the resulting interval observer can be achieved through an appropriate choice of output feedback.
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Conference papers
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https://hal.archives-ouvertes.fr/hal-02194678
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Submitted on : Thursday, July 25, 2019 - 5:36:00 PM
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Frederic Mazenc, Thach Ngoc Dinh, Silviu-Iulian Niculescu. Constructions of Interval Observers for Discrete-time Systems of Luenberger type. American Control Conference (ACC), Jun 2013, Washington, DC, United States. ⟨hal-02194678⟩

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