Control Design of Elementary Hybrid Petri Nets via Model Predictive Control

Taleb, Marwa; Leclercq, Edouard; Lefebvre, Dimitri

doi:10.1016/j.ifacol.2015.11.150

Cited by 1 publication

(1 citation statement)

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“…Several approaches exist in literature to represent the behaviour of such systems; for example in Alla (2008, 2012) and Taleb et al (2015) but Boolean firing transitions condition in the discrete part can only block or allow the firing of the entire quantity of flow of a continuous transition, i.e., the discrete part cannot influence the instantaneous rate of the amount of flow even if the continuous part influences marking of the discrete places. In the case of D-enabling degree (particularly useful when duplicating sources or servers): at the level of each continuous transition, if U is the flow rate, the D-enabling degree can only ensure the instantaneous firing speeds: U, 2U, 3U … nU with n integer min ( , )…”

Section: Introductionmentioning

confidence: 99%

On extending transitions logic in hybrid dynamic systems based on bond graph and Petri nets combination

Bouhalouane

Sekhri

Haffaf

2020

IJSSE

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In order to better take into account complexity of the heterogeneous dynamics in hybrid dynamic systems (HDS); we propose an unified and integrated fuzzy logic hybrid approach extending the concept of a classical switch bond graph modelling to a logical transition that takes into account a gradation instead of abrupt behavioural changes. It allows extension of the reachable states space where we propose real physical intermediate states (fluidification) that can be maintained with a sense. We also modify the mathematical structure of ideal primitive switching element (PSTS) by proposing a formula based on predictive and effective notions that fully comply with standard bond graph syntax and semantics as well as the Petri Nets, grants a freedom of the sampling instants according to the solver. We demonstrate the effectiveness of our approach on a flow control bi-tank and its usefulness both in academia and industrial field. Finally, we discuss some ideas about discrepancy between the level of mathematical abstraction and that of the physical level.

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Section: Introductionmentioning

confidence: 99%