Title
Max-Plus Control Design for Temporal Constraints Meeting in Timed Event Graphs
Abstract
The aim of the presented work is the control of Timed Event Graph to meet tight temporal constraints. The problem of temporal constraints is formulated in terms of control of linear Max-Plus models. First, the synthesis of a control law that ensures the satisfaction of a single constraint for a single input system is presented. Then, the single input multi-constraints problem is tackled and finally, the method is extended to the multi-inputs, multi-constraints problem. The proposed method is illustrated on the example of a simple production process.
Year
DOI
Venue
2012
10.1109/TAC.2011.2164735
Automatic Control, IEEE Transactions
Keywords
Field
DocType
MIMO systems,constraint theory,control system synthesis,graph theory,linear algebra,manufacturing processes,manufacturing systems,production control,control law synthesis,linear max-plus model,manufacturing systems,max-plus control design,multiinputs multiconstraints problem,production process,single input multiconstraints problem,single input system,temporal constraint,timed event graph,Discrete event systems (DES),feedback control,max-plus algebra,temporal constraints,timed event graph (TEG)
Graph theory,Event graph,Linear algebra,Graph,Mathematical optimization,Production control,Control theory,Scheduling (production processes),Constraint satisfaction dual problem,Max-plus algebra,Mathematics
Journal
Volume
Issue
ISSN
57
2
0018-9286
Citations 
PageRank 
References 
22
1.20
11
Authors
4
Name
Order
Citations
PageRank
Said Amari1617.27
Demongodin Isabel26110.10
Jean Jacques Loiseau310619.60
Claude Martinez4364.63