Title
Estimation of linear positive systems with unknown time-varying delays
Abstract
This paper considers the estimation problem for linear positive systems with time-varying unknown delays. Similar to set-valued estimation approaches, we provide a confident region within which the trajectory of the observed positive system always evolves. Guaranteed upper and lower estimates for the instantaneous states are characterized by means of a special kind of extended Luenberger-type interval observer. We provide constructive conditions for its existence and establish the asymptotic convergence of its associated interval error. In addition, we give an LP-based method which allows one to construct the proposed interval observer solely from the data of the system.
Year
DOI
Venue
2013
10.1016/j.ejcon.2013.05.001
European Journal of Control
Keywords
Field
DocType
Delayed systems,Time-varying delays,Interval observer,Positive systems
Convergence (routing),Control theory,Constructive,Control engineering,Observer (quantum physics),Mathematics,Trajectory,Positive systems
Journal
Volume
Issue
ISSN
19
3
0947-3580
Citations 
PageRank 
References 
12
0.69
7
Authors
3
Name
Order
Citations
PageRank
Mustapha Ait Rami114310.15
Michael Schönlein2192.25
Jordan, J.3141.85