Interval analysis and dioid: Application to robust controller design for timed event graphs

Automatica

Volumn 40, Issue 11, 2004, Pages 1923-1930

  Lhommeau, Mehdi ^a   Hardouin, Laurent ^a   Cottenceau, Bertrand ^a   Jaulin, Luc ^a  

^a Lab d'Ingenierie Syst Automatises   (France)

Author keywords

Dioid; Discrete event systems; Feedback synthesis; Interval analysis; Residuation theory; Timed event graphs

Indexed keywords

COMMUNICATION SYSTEMS; COMPUTERS; CONTROL EQUIPMENT; FEEDBACK CONTROL; GRAPH THEORY; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; SYNCHRONIZATION; THEOREM PROVING;

DIOIDS; DISCRETE-EVENT SYSTEMS; FEEDBACK SYNTHESIS; INTERVAL ANALYSIS; RESIDUATION THEORY; TIMED EVENT GRAPHS;

CONTROL SYSTEMS;

EID: 4444304434     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2004.05.013     Document Type: Article

References (16)

1. Ayhan, A., & Wortman, M. A. (1999). Job flow control in assembly operations. IEEE Transactions on Automatic Control, 44(4), 864-868.
2. Baccelli, F., Cohen, G., Olsder, G. J., & Quadrat, J. P. (1992). Synchronization and linearity: An algebra for discrete event systems. New York: Wiley.
3. Blyth, T. S., & Janowitz, M. F. (1972). Residuation theory. Oxford: Pergamon Press.
4. Cohen, G., Moller, P., Quadrat, J. P., & Viot, M. (1989). Algebraic tools for the performance evaluation of discrete event systems. IEEE proceedings: Special issue on Discrete Event Systems, 77(1), 39-58.
5. Cottenceau, B., Hardouin, L., Boimond, J.-L., & Ferrier, J.-L. (2001). Model reference control for timed event graphs in dioids. Automatica, 37, 1451-1458.
6. Cottenceau, B., Lhommeau, M., Hardouin, L., & Boimond, J.-L. (2003). On timed event graph stabilization by output feedback in dioid. Kybernetika, 39(2), 165-176.
7. Jaulin, L., Boimond, J.-L., & Hardouin, L. (1999). Estimation of discrete event systems using interval computation. Reliable Computing, 5(2), 165-173.
8. Jaulin, L., Kieffer, M., Dirit, O., & Walter, E. (2001). Applied interval analysis with examples in parameter and state estimation, robust control and robotic. London: Springer.
9. LeBoudec, J.-Y., & Thiran, P. (2002). Network calculus. Berlin: Springer.
10. Litvinov, G. L., & Sobolevski, A. N. (2001). Idempotent interval analysis and optimization problems. Kluwer, Reliable Computing, 7(5), 353-377.
11. Lüders, R., & Santos-Mendes, R. (2002). Generalized multivariable control of discrete event systems in dioid. Workshop on Discrete Event Systems, WODES'02, Zaragoza.
12. Maia, C. A., Hardouin, L., Santos-Mendes, R., & Cottenceau, B. (2003). Optimal closed-loop control of timed event graphs in dioid. IEEE Transactions on Automatic Control, 48(2), 2284-2287.
13. MaxPlus, (1991). Second order theory of min-linear systems and its application to discrete event systems. In Proceedings of the 30th CDC, Brighton, England, December 1991.
14. Menguy, E., Boimond, J.-L., Hardouin, L., & Ferrier, J.-L. (2000). Just in time control of timed event graphs: Update of reference input, presence of uncontrollable input IEEE Transactions on Automatic Control, 45(11), 2155-2159.
15. SW2001 (2001). Software tools for manipulating periodic series. http://www.istia-angers.fr/~hardouin/outils.html, http://amadeus.inria.fr/gaubert/PAPERS/MAX.html.
16. Wonham, W. (1985). Linear multivariable control: A geometric approach (3rd ed.). Berlin: Springer.