Control Design for Trajectory Tracking With Untimed Petri Nets

Author

Lefebvre, Dimitri ; Leclercq, Edouard

Author_Institution

GREAH, Univ. Le Havre, Le Havre, France

Volume

60

Issue

7

fYear

2015

fDate

Jul-15

Firstpage

1921

Lastpage

1926

Abstract

This technical note is about trajectory tracking for discrete event systems. The main contribution is to compute incrementally control sequences with minimal or near-minimal length based on a partial exploration of the Petri net (PN) reachability graph and inspired by the model predictive control approach. The method is suitable for bounded and unbounded PNs, for PNs with weighted arcs and with some uncontrollable transitions. Finally forbidden markings or regions of markings are easily avoided with the proposed approach that can be used for supervisory control issues.

Keywords

Petri nets; discrete event systems; predictive control; reachability analysis; trajectory control; PN reachability graph; Petri net reachability graph; discrete event systems; model predictive control approach; near-minimal length; trajectory tracking; unbounded PN; untimed Petri net; Control design; Convergence; Firing; Petri nets; Prediction algorithms; System recovery; Trajectory; Discrete event systems; Petri nets; model predictive control; trajectory tracking;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2363311

Filename

6926768