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Journal Articles Automatica Year : 2011

Interval observers for linear time-invariant systems with disturbances

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.
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Dates and versions

hal-00555464 , version 1 (25-01-2011)

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Frédéric Mazenc, Olivier Bernard. Interval observers for linear time-invariant systems with disturbances. Automatica, 2011, 47 (1), pp.140-147. ⟨10.1016/j.automatica.2010.10.019⟩. ⟨hal-00555464⟩
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