Interval Observers for Time-Varying Discrete-Time Systems

This techical note 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 s...

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Veröffentlicht in:	IEEE transactions on automatic control 2013-12, Vol.58 (12), p.3218-3224
Hauptverfasser:	Efimov, Denis, Perruquetti, Wilfrid, Raissi, Tarek, Zolghadri, Ali
Format:	Artikel
Sprache:	eng
Schlagworte:	Automatic Control Engineering Computer Science Discrete-time systems Eigenvalues and eigenfunctions Estimation error Observers state estimation Symmetric matrices Time-varying systems Vectors
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Beschreibung
Zusammenfassung:	This techical note 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.
ISSN:	0018-9286 1558-2523
DOI:	10.1109/TAC.2013.2263936