Title
Interval analysis and dioid: application to robust controller design for timed event graphs
Abstract
This paper deals with feedback controller synthesis for timed event graphs, where the number of initial tokens and time delays are only known to belong to intervals. We discuss here the existence and the computation of a robust controller set for uncertain systems that can be described by parametric models, the unknown parameters of which are assumed to vary between known bounds. Each controller is computed in order to guarantee that the closed-loop system behavior is greater than the lower bound of a reference model set and is lower than the upper bound of this set. The synthesis presented here is mainly based on dioid, interval analysis and residuation theory.
Year
DOI
Venue
2004
10.1016/j.automatica.2004.05.013
Automatica
Keywords
Field
DocType
Discrete-event systems,Timed event graphs,Dioid,Interval analysis,Residuation theory,Feedback synthesis
Graph,Control theory,Parametric model,Reference model,Controller design,Upper and lower bounds,Control theory,Interval arithmetic,Mathematics,Computation
Journal
Volume
Issue
ISSN
40
11
Automatica
Citations 
PageRank 
References 
23
1.67
10
Authors
4
Name
Order
Citations
PageRank
Mehdi Lhommeau1518.34
Laurent Hardouin217128.97
Bertrand Cottenceau312015.81
Luc Jaulin453369.59