Brief paper: Interval observers for linear time-invariant systems with disturbances

Authors:
Frédéric Mazenc;Olivier Bernard
Affiliations:
INRIA DISCO, CNRS-Supélec, 3 rue Joliot Curie, 91192, Gif-sur-Yvette, France;INRIA COMORE, INRIA Sophia-Antipolis, 2004 route des Lucioles, BP 93, 06902 Sophia-Antipolis, France
Venue:
Automatica (Journal of IFAC)
Year:
2011

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Abstract

It is shown that, for any time-invariant exponentially stable linear system with additive disturbances, time-varying exponentially stable interval observers can be constructed. The technique of construction relies on the Jordan canonical form that any real matrix admits and on time-varying changes of coordinates for elementary Jordan blocks which lead to cooperative linear systems. The approach is applied to detectable linear systems.