15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
MULTIVARIABLE CONTROL OF DISCRETE EVENT SYSTEMS IN DIOIDS
Ricardo Lüders* Rafael Santos-Mendes**
* Federal Center of Technological Education of Paraná, CEFET-PR
CPGEI, Av. Sete de Setembro 3165, 80230-901 Curitiba-PR, Brazil
** State University of Campinas, UNICAMP
DCA/FEEC, P.O. Box 6101, 13081-970 Campinas-SP, Brazil
e-mail: luders@dainf.cefetpr.br, rafael@dca.fee.unicamp.br

Timed event graphs are described in dioids by a linear state-space or transfer function model. This paper proposes a state feedback control under complete control and observation of the states. By using a model reference control approach, the closed-loop transfer function matches the control specification expressed as a given transfer function. It is shown that under certain conditions an optimal controller exists, although two sub-optimal controllers can always be obtained.
Keywords: discrete-event dynamic systems, timed Petri-nets, synchronization, control
Session slot T-We-M21: Posters of Modelling, Identification and Discrete Systems/Area code 3c : Discrete Event Dynamic Systems