Optimal Closed-Loop Control of Timed Event Graphs in Dioids

IEEE Transactions on Automatic Control

Volumn 48, Issue 12, 2003, Pages 2284-2287

  Maia, C A ^a,b   Hardouin, L ^b   Santos Mendes, R ^c   Cottenceau, B ^b  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^b UNIVERSITÉ D'ANGERS   (France)

^c UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

(Max, +) algebra; Control; Dioid; Discrete event dynamic systems; Just in time; Timed Petri Nets

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; GRAPH THEORY; LINEAR EQUATIONS; PETRI NETS; SET THEORY; SYNCHRONIZATION;

DIOIDS; TIMED EVENT GRAPHS (TEG);

CLOSED LOOP CONTROL SYSTEMS;

EID: 0346055369     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.820666     Document Type: Article

References (13)

1. F. Baccelli, G. Cohen, G. J. Olsder, and J. P. Quadrat, Synchronization and Linearity: An Algebra for Discrete Event Systems. New York: Wiley, 1992.
2. T. S. Blyth and M. F. Janowitz, Residuation Theory. New York: Pergamon, 1972.
3. J.-L. Boimond and J.-L. Ferrier, "Internal model control and Max-Algebra: Controller design," IEEE Trans. Automat. Contr., vol. 41, pp. 457-461, Mar. 1996.
4. G. Cohen, P. Moller, J. P. Quadrat, and M. Viot, "Algebraic tools for the performance evaluation of discrete event systems," Proc. IEEE: Special Issue Discrete Event Syst., vol. 77, pp. 39-58, Jan. 1989.
5. C. Commault, "Feedback stabilization of some event graph models," IEEE Trans. Automat. Contr., vol. 43, pp. 1419-1423, Oct. 1998.
6. B. Cottenceau, L. Hardouin, J.-L. Boimond, and J.-L. Ferrier, "Synthesis of greatest linear feedback for TEG in dioid," IEEE Trans. Automat. Contr., vol. 44, pp. 1258-1262, June 1999.
7. _, "Model reference control for timed event graphs in dioid," Automatica, vol. 37, pp. 1451-1458, 2001.
8. S. Gaubert, "Théorie des systèmes linéaires dans les dioïdes,", École des Mines de Paris, Paris, France, 1992.
9. L. Holloway, B. Krogh, and A. Giua, "A survey of Petri Net methods for controlled discrete event systems," Discrete Event Dyna. Syst.: Theory Applicat., vol. 7, no. 2, pp. 151-190, 1997.
10. M. Lhommeau, L. Hardouin, B. Cottenceau, and J.-L. Boimond, "Sur les correcteurs en boucle fermée dans les dioïdes," in Modél, des Syst. Réact. (MSR'2001), Toulouse, France, 2001, pp. 463-478.
11. R. Lüders and R. Santos-Mendes, "Generalized multivariable control of discrete event systems in dioid," in 6th Int. Workshop Discrete Event Systems, Zaragoza, Spain, Oct. 2002.
12. E. Menguy, J.-L. Boimond, L. Hardouin, and J.-L. Ferrier, "Just-in-time control of timed event graphs update of reference input, presence of uncontrollable input," IEEE Trans. Automat. Contr., vol. 45, pp. 2155-2158, Nov. 2000.
13. SW2001. Software Tools for Manipulating Periodic Series (2001). [Online], Available: http://www.istia-angers.fr/̃ hardouin/outils.html; http://amadeus.inria.fr/gaubert/papers/max.html; http://www-rocq. inria.fr/scilab/quadrat/quadrat.html