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 Rami | 1 | 143 | 10.15 |
Michael Schönlein | 2 | 19 | 2.25 |
Jordan, J. | 3 | 14 | 1.85 |