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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Bibliographic Details
Published in:IEEE transactions on automatic control 2013-12, Vol.58 (12), p.3218-3224
Main Authors: Efimov, Denis, Perruquetti, Wilfrid, Raissi, Tarek, Zolghadri, Ali
Format: Article
Language:English
Subjects:
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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Description
Summary: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