On Interval Observer Design for Time-Invariant Discrete-Time Systems

Denis Efimov 1, 2 Wilfrid Perruquetti 1, 2, 3 Tarek Raissi 4 Ali Zolghadri 5
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The problem of interval state observer design is addressed for time-invariant discrete-time systems. Two solutions are proposed: the first one is based on a similarity transformation synthesis, which connects a constant matrix with its nonnegative representation ensuring the observation error positivity. The second contribution shows that in discrete-time case the estima-tion error dynamics always can be epresented in a cooperative form without a transformation of coordinates. The corresponding observer gain can be found as a solution of the formulated LMIs. The performances of the proposed observers are demonstrated through computer simulations.
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Denis Efimov, Wilfrid Perruquetti, Tarek Raissi, Ali Zolghadri. On Interval Observer Design for Time-Invariant Discrete-Time Systems. European Control Conference 2013, Jul 2013, Zurich, Switzerland. ⟨hal-00801806⟩

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