Interval Observers for Time-Varying 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 : This paper deals with interval state observer design for time-varying discrete-time systems. The problem of a similarity transformation computation which connects a (time-varying) matrix and its nonnegative representation is studied. Three solutions are proposed: for a generic time-varying system, a system with positive state, and for a particular class of periodical systems. Numerical simulations are provided to demonstrate advantages of the developed techniques.
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Denis Efimov, Wilfrid Perruquetti, Tarek Raissi, Ali Zolghadri. Interval Observers for Time-Varying Discrete-Time Systems. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2013. ⟨hal-01126241v2⟩

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