Title :
Attractive regions with finite attraction time for contPNs
Author :
Lefebvre, D. ; Leclercq, E.
Author_Institution :
GREAH, Univ. Le Havre, Le Havre, France
Abstract :
Stability analysis and advanced control design require the characterization of attractive regions in state space. In particular, attraction with finite time is important for practical issues. In this contribution, attractive regions are worked out for discrete time approximations of contPNs with piecewise constant control actions according to a geometric approach. Upper and lower bounds of attractive regions are proposed.
Keywords :
Petri nets; approximation theory; control system synthesis; discrete time systems; piecewise constant techniques; stability; state-space methods; advanced control design; attractive region lower bounds; attractive region upper bound; contPN finite attraction time; discrete time approximations; geometric approach; piecewise constant control actions; stability analysis; Aerospace electronics; Approximation methods; Control theory; Equations; Firing; Linear matrix inequalities; Trajectory;
Conference_Titel :
Control & Automation (MED), 2011 19th Mediterranean Conference on
Conference_Location :
Corfu
Print_ISBN :
978-1-4577-0124-5
DOI :
10.1109/MED.2011.5983032
