Interval Observers for Discrete-time Systems

Frédéric Mazenc 1 Thach Dinh 2 Silviu-Iulian Niculescu 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 : Interval observers are constructed for discrete-time systems. First, time-invariant interval observers are proposed for a family of nonlinear systems. Second, it is shown that, for any time-invariant exponentially stable discrete-time linear system with additive disturbances, time-varying exponentially stable discrete-time interval observers can be constructed. The latter result relies on the design of time-varying changes of coordinates, which transform a linear system into a nonnegative one. Copyright © 2013 John Wiley & Sons, Ltd.
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Submitted on : Thursday, November 27, 2014 - 2:44:05 PM
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Frédéric Mazenc, Thach Dinh, Silviu-Iulian Niculescu. Interval Observers for Discrete-time Systems. International Journal of Robust and Nonlinear Control, Wiley, 2014, 24 (17), pp.2867-2890. ⟨10.1002/rnc.3030 ⟩. ⟨hal-01088147⟩



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