On The Model Reference Control For Max-plus Linear Systems

This paper deals with the model-reference control of max-plus linear systems. The main contribution of this work is a general control structure that encompasses the previous one found in the literature. It is based on the RST-structure for conventional differentiable system. In addition it provides a comparison among some sub-structures and simulation results are presented. © 2005 IEEE.200577997803Astrom, K.J., Wittenmark, B., (1990) Computer Controlled Systems, , Prentice Hall, Englewood CliffsBaccelli, F., Cohen, G., Olsder, G., Quadrat, J., (1992) Synchronisation and Linearity: An Algebra for Discrete Event Systems, , John Wiley and Sons, New YorkBlyth, T., Janowitz, M., (1972) Residuation Theory, , Pergamon Press, OxfordCommault, C., Feedback stabilization of some event graph models (1998) IEEE Trans. Automat. Contr, 43 (10), pp. 1419-1423. , OctoberCottenceau, B., (1999) Contribution à la commande de systèmes à événements discrets : Synthèse de correcteurs pour les graphes d'événements temporisés dans les dioïdes, , Thèse de doctorat, Université d'Angers, Angers, FranceCottenceau, B., Hardouin, L., Boimond, J., Ferner, J., Synthesis of greatest linear feedback for timed event graphs in dioid (1999) IEEE Trans. Automat. Contr, 44 (6), pp. 1258-1262. , JuneCottenceau, B., Hardouin, L., Boimond, J., Ferrier, J., Model Reference Control for Timed Event Graphs in Dioid (2001) Automatica, 37, pp. 1451-1458Gaubert, S., (1992) Théorie des systèmes linéaires dans les dioïdes, , Thèse de doctorat, Ecole des Mines de Paris, ParisHardouin, L., (2004) Sur la Commande linéaire de Systèmes à Evenements Discrets dans l'algèbre (max,+), , Habilitation à diriger des recherches, Université d'Angers, Angers, FranceLahaye, S., Boimond, J., Hardouin, L., Linear periodic systems over dioids (2004) Discrete Event Dynamic Systems. Theory and Applications, 14, pp. 133-152Lhommeau, M., Hardouin, L., Cottenceau, B., Jaulin, L., Interval analysis in dioid : Application to obust controller design for timed event graphs (2004) Automatica, 40 (11), pp. 1923-1930. , vo, NovLhommeau, M., Hardouin, L., Maia, C.A., Santos-Mendes, R., Control and robustness analysis for (max,+) linear systems (2004) Workshop On Discrete Event Systems (WODES'2004), , Reims, France, SeptLüders, R., Santos-Mendes, R., Generalized Multivariable Control of Discrete Event Systems in Dioid (2002) 6th International Workshop on Discrete Event Systems (WODES'02), , Zaragoza, SpainMaia, C.A., Hardouin, L., Santos-Mendes, R., Cottenceau, B., Optimal Closed-loop of Timed Event Graphs in Dioids (2003) IEEE Trans. Automat. Contr, 48 (12), pp. 2284-2287. , DecMenguy, E., Boimond, J., Hardouin, L., Ferrier, J., Just-in-time Control of Timed Event Graphs: Update of Reference Input, Presence of Uncontrollable Input (2000) IEEE Trans. Automat. Contr, 45 (11), pp. 2155-2158Murata, T., Petri nets : Properties, analysis and applications (1989) Proceedings of the IEEE, 77 (4), pp. 541-580SW, (2005) Software Tools for Manipulating Periodic Series, , http://www.istia-angers.fr/~hardouin/outils.html, Ja