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

Authors: Mokhtar Bouhalouane; Larbi Sekhri; Hafid Haffaf

Addresses: Industrial Computing and Networking Laboratory, Computer Science Department, University of Oran1, B.P. 1524, El-M'Naouer-31000 Oran, Algeria ' Industrial Computing and Networking Laboratory, Computer Science Department, University of Oran1, B.P. 1524, El-M'Naouer-31000 Oran, Algeria ' Industrial Computing and Networking Laboratory, Computer Science Department, University of Oran1, B.P. 1524, El-M'Naouer-31000 Oran, Algeria

Abstract: 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.

Keywords: hybrid dynamic systems; HDS; STS; primitive switch transition system; PSTS; differential-algebraic equation; DAE; time Petri nets; TPN; bond graph; Petri nets.

DOI: 10.1504/IJSSE.2020.105421

International Journal of System of Systems Engineering, 2020 Vol.10 No.1, pp.1 - 23

Received: 15 Dec 2018
Accepted: 28 Jun 2019

Published online: 20 Feb 2020 *

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