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Model predictive control of P-time event graphs

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  • H. Hamri
  • R. Kara
  • S. Amari

Abstract

This paper deals with model predictive control of discrete event systems modelled by P-time event graphs. First, the model is obtained by using the dater evolution model written in the standard algebra. Then, for the control law, we used the finite-horizon model predictive control. For the closed-loop control, we used the infinite-horizon model predictive control (IH-MPC). The latter is an approach that calculates static feedback gains which allows the stability of the closed-loop system while respecting the constraints on the control vector. The problem of IH-MPC is formulated as a linear convex programming subject to a linear matrix inequality problem. Finally, the proposed methodology is applied to a transportation system.

Suggested Citation

  • H. Hamri & R. Kara & S. Amari, 2016. "Model predictive control of P-time event graphs," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3792-3802, December.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3792-3802
    DOI: 10.1080/00207721.2015.1124150
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    References listed on IDEAS

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    1. Jose Reinaldo Silva & Pedro M. G. Del Foyo, 2012. "Timed Petri Nets," Chapters, in: Pawel Pawlewski (ed.), Petri Nets - Manufacturing and Computer Science, IntechOpen.
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