Net transformation and theory of regions for optimal control of Petri nets - Inria - Institut national de recherche en sciences et technologies du numérique
Communication Dans Un Congrès Année : 2002

Net transformation and theory of regions for optimal control of Petri nets

Résumé

In a previous work, we applied the theory of regions to design optimal Petri net controller by adding so-called control places to the plant Petri net model with uncontrolable transitions and forbidden states. Unfortunately, such a simple control-place-based solution does not always exist. In the present paper, we propose a new approach for designing optimal controller for ordinary bounded Petri nets using control places. The key idea consists in transforming the plant Petri net model, for which a control-place-based solution was not found, into a safe Petri net. Then, exploiting the result stating that forbidden state problems of safe Petri nets always have control-place-based solutions, the control problem of the transformed model is optimally solved using our previous result. Besides, by assigning a priority to transitions of the transformed model, the complexity is considerably reduced.
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Dates et versions

inria-00100960 , version 1 (26-09-2006)

Identifiants

  • HAL Id : inria-00100960 , version 1

Citer

Asma Ghaffari, Nidhal Rezg, Xiaolan Xie. Net transformation and theory of regions for optimal control of Petri nets. IFAC World Congress on Automatic Control, Jul 2002, Barcelone, Espagne, 6 p. ⟨inria-00100960⟩
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