Title :
Optimal Control Synthesis of Timed Event Graphs With Interval Model Specifications
Author :
Declerck, Philippe ; Alaoui, Mohamed Khalid Didi
Author_Institution :
LISA EA4014, Univ. of Angers, Angers, France
Abstract :
The purpose of this technical note is the optimal control synthesis of a timed event graph when the state and control trajectories should follow the specifications defined by an interval model. The problem is reformulated in the fixed point form and the spectral theory gives the conditions of existence of a solution.
Keywords :
Petri nets; control system synthesis; graph theory; optimal control; Petri nets; fixed point form; interval model specifications; optimal control synthesis; spectral theory; timed event graphs; Algebra; Automatic control; Communication system control; Control systems; Delay effects; Delay estimation; Delay systems; Filtering; Linear systems; Nonlinear control systems; Optimal control; Petri nets; Predictive control; Predictive models; Real time systems; State-space methods; Stochastic systems; Upper bound; (min, max, +) functions; Cycle-time vector; P-time Petri nets; fixed point; time stream Petri nets; timed event graphs;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2037471
