Title :
Geometric characterization of invariant regions for timed continuous Petri nets with control actions
Author :
Leclercq, Edouard ; Lefebvre, Dimitri
Author_Institution :
GREAH, Univ. Le Havre, Le Havre, France
Abstract :
Stability analysis and advanced control design require the characterization of positive invariant regions. In this contribution, this characterization is developed for contPNs with piecewise constant control actions according to a geometric approach. Upper and lower bounds of the maximal positive regions are proposed.
Keywords :
Petri nets; control system synthesis; geometry; linear programming; piecewise constant techniques; stability; contPN; control design; geometric characterization; invariant region; linear programming; piecewise constant control action; stability analysis; timed continuous Petri net; Approximation methods; Control theory; Equations; Firing; Linear matrix inequalities; Petri nets; Trajectory; Petri nets; control design; linear programming problems; timed continuous Petri nets;
Conference_Titel :
Dependable Control of Discrete Systems (DCDS), 2011 3rd International Workshop on
Conference_Location :
Saarbrucken
Print_ISBN :
978-1-4244-8969-5
DOI :
10.1109/DCDS.2011.5970335
