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Event-Driven Control for Reaching a Steady State in Controlled Generalized Batches Petri Nets

Authors :
Leonardo Brenner
Rabah Ammour
Ruotian Liu
Isabel Demongodin
Modèles et Formalismes à Evénements Discrets (MOFED)
Laboratoire d'Informatique et Systèmes (LIS)
Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)
Demongodin, Isabel
Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Source :
15th IFAC Workshop on Discrete Event Systems, WODES 2020, 15th IFAC Workshop on Discrete Event Systems, WODES 2020, Nov 2020, Rio de Janeiro, Brazil, HAL
Publication Year :
2020
Publisher :
HAL CCSD, 2020.

Abstract

This paper addresses the control problem of controlled generalized batches Petri nets. The considered problem is to reach a given steady state from an initial one by controlling the firing flow of transitions. The proposed strategy is event-driven and the control actions are updated only when specific events occur. It is based on an algorithm with a linear programming problem that computes a new control firing flow vector when the considered events occur. The convergence of the marking to its steady state marking by the proposed strategy is proved and an example is provided to illustrate the computation steps.

Details

Language :
English
Database :
OpenAIRE
Journal :
15th IFAC Workshop on Discrete Event Systems, WODES 2020, 15th IFAC Workshop on Discrete Event Systems, WODES 2020, Nov 2020, Rio de Janeiro, Brazil, HAL
Accession number :
edsair.doi.dedup.....66007704e4918801d6f81c6601bfe877