Authors:
Danjing Li
1
;
Eckart Mayer
1
and
Jörg Raisch
2
Affiliations:
1
Systems and Control Theory Group, Max-Planck Institute, Germany
;
2
Systems and Control Theory Group, Max-Planck Institute; Lehrstuhl für Systemtheorie technischer Prozesse, Otto-von-Guericke Universität Magdeburg, Germany
Keyword(s):
Cyclic systems, discrete-event systems, max-plus algebra, min-plus algebra, rail traffic.
Related
Ontology
Subjects/Areas/Topics:
Discrete Event Systems
;
Informatics in Control, Automation and Robotics
;
Signal Processing, Sensors, Systems Modeling and Control
Abstract:
We extend the hierarchical control method in (Li et al., 2004) to a more generic setting which involves cyclically repeated processes. A hierarchical architecture is presented to facilitate control synthesis. Specifically, a conservative max-plus model for cyclically repeated processes is introduced on the upper level which provides an optimal online plan list. An enhanced min-plus algebra based scheme on the lower level not only handles unexpected events but, more importantly, addresses cooperation issues between sub-plants and different cycles. A rail traffic example is given to demonstrate the effectiveness of the proposed approach.