Title
Towards geometric control of max-plus linear systems with applications to manufacturing systems
Abstract
The max-plus linear systems have been studied for almost three decades, however, a well-established system theory on such specific systems is still an on-going research. The geometric control theory in particular was proposed as the future direction for max-plus linear systems by Cohen et al. This paper reports upon recent investigations on the disturbance decoupling problem for max-plus linear systems, which is the standard geometric control problem originated by W. M. Wonham. Different concepts of the disturbance decoupling problem are introduced, as well as the corresponding solvability conditions and controller synthesis procedures. The main results can be used in manufacturing systems, queueing networks, and power system networks for fault detection and system breakdown prevention.
Year
DOI
Venue
2011
10.1109/CDC.2011.6160489
Decision and Control and European Control Conference
Keywords
Field
DocType
control system synthesis,fault diagnosis,linear systems,manufacturing systems,preventive maintenance,controller synthesis procedure,disturbance decoupling problem,fault detection,geometric control problem,manufacturing system,max-plus linear system,power system network,queueing network,solvability condition,system breakdown prevention
Kernel (linear algebra),Control theory,Mathematical optimization,Linear system,Control theory,Computer science,Fault detection and isolation,Decoupling (cosmology),Electric power system,Queueing theory,Trajectory
Conference
ISSN
ISBN
Citations 
0743-1546 E-ISBN : 978-1-61284-799-3
978-1-61284-799-3
4
PageRank 
References 
Authors
0.48
6
3
Name
Order
Citations
PageRank
Laurent Hardouin117128.97
Mehdi Lhommeau2518.34
Ying Shang3164.92