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A New Approach to Design Interval Observers for Linear Systems

Interval observers are dynamic systems that provide upper and lower bounds of the true state trajectories of systems. In this work we introduce a technique to design interval observers for linear systems affected by state and measurement disturbances, based on the Internal Positive Representations (...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2015-06, Vol.60 (6), p.1665-1670
Main Authors: Cacace, Filippo, Germani, Alfredo, Manes, Costanzo
Format: Article
Language:English
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Summary:Interval observers are dynamic systems that provide upper and lower bounds of the true state trajectories of systems. In this work we introduce a technique to design interval observers for linear systems affected by state and measurement disturbances, based on the Internal Positive Representations (IPRs) of systems, that exploits the order preserving property of positive systems. The method can be applied to both continuous and discrete time systems.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2014.2359714