Interval Observers For Discrete-time Systems

Frederic Mazenc 1, 2 Thach Dinh 3 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
2 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : For the first time, 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 result relies on the design of time-varying changes of coordinates which transform a linear system into a nonnegative linear system.
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Frederic Mazenc, Thach Dinh, Silviu-Iulian Niculescu. Interval Observers For Discrete-time Systems. 51th IEEE Conference on Decision and Control, Dec 2012, Maui, Hawaii, United States. ⟨hal-00761600⟩

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