CUED Publications database

Contraction-based design of positive observers

Dinh, TN and Bonnabel, S and Sepulchre, R (2013) Contraction-based design of positive observers. Proceedings of the IEEE Conference on Decision and Control. pp. 6574-6579. ISSN 0191-2216

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We consider the problem of positive observer design for positive systems. We propose the design of a nonlinear positive observer based on the use of generalized polar coordinates in the positive orthant. The contraction properties of the estimation error are studied thanks to the Hilbert projective metric. The optimization problem of finding the observer gains that maximize the contraction rate is addressed, and the simple two-dimensional case is discussed in detail. Index Terms-Positive systems, non-linear Luenberger-type positive observers, contraction properties, Hilbert metric. © 2013 IEEE.

Item Type: Article
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:06
Last Modified: 26 Aug 2021 07:08
DOI: 10.1109/CDC.2013.6760929