Title
On Observability and Pseudo State Estimation of Fractional Order Systems.
Abstract
In this paper, fractional order system observability is discussed. A representation of these systems that involves a classical linear integer system and a system described by a parabolic equation is used to define the system real state and to conclude that the system state is approximately observable. However, it is also shown that the pseudo state space representation, usually encountered in the literature for fractional systems, can be used to design Luenberger like observers that permits an estimation of important variables in the system. Such an observer is finally used in order to estimate the temperature in a thermal system from a temperature measure at a different abscissa.
Year
DOI
Venue
2012
10.3166/ejc.18.260-271
European Journal of Control
Keywords
Field
DocType
Commensurate fractional order systems,observability
Integer,Observability,Observable,Abscissa,Control theory,Mathematical analysis,State-space representation,Fractional-order system,Observer (quantum physics),Mathematics,Parabola
Journal
Volume
Issue
ISSN
18
3
0947-3580
Citations 
PageRank 
References 
26
1.54
2
Authors
4
Name
Order
Citations
PageRank
Jocelyn Sabatier120724.72
Mathieu Merveillaut2282.52
Ludovic Feneteau3261.54
Christophe Farges414612.98