162
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Feedback control for a class of discrete event systems with critical time

Pages 1974-1983 | Received 26 Nov 2014, Accepted 01 Mar 2015, Published online: 14 Apr 2015

References

  • Amari, S., Demongodin, I., & Loiseau, J.-J. (2005). Sizing, cycle time and plant control using dioid algebra. In A. Dolgui, J. Soldek, & O. Zaikin (Eds.), Supply chain optimization (pp. 71–85). New York: Springer.
  • Amari, S., Demongodin, I., Loiseau, J.-J., & Martinez, C. (2012). Max-plus control design for temporal constraints meeting in timed event graphs. IEEE Transactions on Automatic Control, 57(2), 462–467.
  • Baccelli, F., Cohen, G., Olsder, G., & Quadrat, J.-P. (1992). Synchronization and linearity: An algebra for discrete event systems. New York: Wiley.
  • Berthomieu, B., & Diaz, M. (1991). Modelling and verification of time dependant systems using time Petri nets. IEEE Transactions on Software Engineering, 17(3), 259–273.
  • Bonhomme, P. (2011). Constraints graph based approach for the analysis and the control of time critical systems. International Journal of Advanced Manufacturing Technology, 57(1–4), 353–365.
  • Bonhomme, P. (2013). Scheduling and control of real-time systems based on a token player approach. Discrete Event Dynamic Systems, 23(2), 197–209.
  • Cofer, D.D., & Garg, V. (1995). Control of event separation times in discrete event systems. In 34th IEEE Conference on Decision and Control (pp. 2005–2010). New Orleans, LA.
  • Cottenceau, B., Hardouin, L., Boimond, J., & Ferrier, J. (1999). Synthesis of greatest linear feedback for timed event graphs in dioid. IEEE Transactions on Automatic Control, 44(6), 1258–1262.
  • Dasarathy, B. (1985). Timing constraints of real-time systems: Constructs for expressing them, methods for validating them. IEEE Transactions on Software Engineering, 11(1), 80–86.
  • Dideban, A., Zareiee, M., & Hassane, A. (2013). Controller synthesis with highly simplified linear constraints. Asian Journal of Control, 15(1), 80–94.
  • Diouri, I., Georges, J.-P., & Rondeau, E. (2007). Accommodation of delays for networked control systems using classification of service. In IEEE International Conference on Networking, Sensing and Control (pp. 410–415). London: IEEE.
  • Ghezzi, C., Mandrioli, D., Morasca, S., & Pezze, M. (1991). A unified high-level Petri net formalism for time critical systems. IEEE Transactions on Software Engineering, 17(2), 160–172.
  • Holloway, L., Krogh, B., & Giua, A. (1997). A survey of Petri net methods for controlled discrete event systems. Discrete Event Dynamic Systems, 7(2), 151–190.
  • Houssin, L., Lahaye, S., & Boimond, J.-L. (2007). Just in time control of constrained (max, +)-linear systems. Discrete Event Dynamic Systems, 17(2), 159–178.
  • Houssin, L., Lahaye, S., & Boimond, J.-L. (2013). Control of (max,+)-linear systems minimizing delays. Discrete Event Dynamic Systems, 23(3), 261–276.
  • Kim, J., & Lee, T. (2003). Schedule stabilization and robust timing control for time-constrained cluster tools. In IEEE International Conference on Robotics and Automation. ICRA.
  • Lahaye, S., Cottenceau, B., & Correïa, A. (2004). Commande des graphes d'événements temporisés avec contraintes de temps critique. In Conférence Internationale francophone en Auto- matique, CIFA'04.
  • Maia, C., Andrade, C., & Hardouin, L. (2011). On the control of max-plus linear system subject to state restriction. Automa- tica, 47(5), 988–992.
  • Maia, C., Hardouin, L., & Cury, J.E.R. (2013). Some results on the feedback control of max-plus linear systems under state constrains. In 52nd IEEE Conference on Decision and Control (CDC).
  • Maia, C., Hardouin, L., Santos-Mendes, R., & Loiseau, J.-J. (2011). A super-eigenvector approach to control constrained max-plus linear systems (pp. 1136–1141). CDC-ECE.
  • Mao, J., & Cassandras, C G. (2009). Optimal control of multi-stage discrete event systems with real-time constraints. IEEE Transactions on Automatic Control, 54(1), 108–123.
  • Mao, J., & Cassandras, C G. (2010). On-line optimal control of a class of discrete event systems with real-time constraints. Discrete Event Dynamic Systems, 20(2), 187–213
  • Moody, J., Yamalidou, K., Lemmon, M., & Antsaklis, P. (1996). Feedback control of Petri nets based on place invariants. Automatica, 32, 15–28.
  • Murata, T. (1989). Petri nets: Properties and applications. IEEE Proceeding, 77(4), 541–580
  • Wang, Y., De Schutter, B., van den Boom, T., & Ning, B. (2013). Optimal trajectory planning for trains – a pseudospectral method and a mixed integer linear programming approach. Transportation Research Part C, 29, 97–114.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.