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.

[1]  Laurent Hardouin,et al.  Just-in-time control of timed event graphs: update of reference input, presence of uncontrollable input , 2000, IEEE Trans. Autom. Control..

[2]  R. Santos-Mendes,et al.  Generalized multivariable control of discrete event systems in dioids , 2002, Sixth International Workshop on Discrete Event Systems, 2002. Proceedings..

[3]  S. Gaubert.  Theorie des systemes lineaires dans les dioides , 1992 .

[4]  Bertrand Cottenceau,et al.  Synthesis of greatest linear feedback for timed-event graphs in dioid , 1999, IEEE Trans. Autom. Control..

[5]  Bertrand Cottenceau,et al.  Optimal closed-loop control of timed EventGraphs in dioids , 2003, IEEE Trans. Autom. Control..

[6]  Bertrand Cottenceau,et al.  Interval analysis and dioid: application to robust controller design for timed event graphs , 2004, Autom..

[7]  Bertrand Cottenceau,et al.  Model reference control for timed event graphs in dioids , 2001, Autom..

[8]  Control and robustness analysis for (max,+)-linear systems , 2004 .

[9]  George A. Perdikaris.  Computer Controlled Systems , 1991 .

[10]  C. Commault.  Feedback stabilization of some event graph models , 1998, IEEE Trans. Autom. Control..

[11]  Bertrand Cottenceau.  Contribution a la commande de systemes a evenements discrets : synthese de correcteurs pour les graphes d'evenements temporises dans les dioides , 1999 .

[12]  Tadao Murata,et al.  Petri nets: Properties, analysis and applications , 1989, Proc. IEEE.

[13]  Laurent Hardouin,et al.  Linear Periodic Systems Over Dioids , 2004, Discret. Event Dyn. Syst..