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Model predictive control of P-time event graphs

H. Hamri, R. Kara and S. Amari

International Journal of Systems Science, 2016, vol. 47, issue 16, 3792-3802

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.

Date: 2016
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DOI: 10.1080/00207721.2015.1124150

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