Title: Modelling and structural observability of switching linear hybrid singular systems

Authors: H. Hihi; M. Bendaoud; A. Rahmani

Addresses: Department of Electrical Engineering, Cadi Ayad University, Marrakech, Moroccco ' LGECOS Laboratory, National School of Applied Sciences, Marrakech, Moroccco ' CRISTAL Laboratory, Centrale Lille, Villeneuve d'Ascq, France

Abstract: This paper deals with the graphical modelling approach, and the structural observability of switching linear hybrid singular systems (SLHSS). First, this approach is based on switching bond graph representation of physical systems. Switching systems which are a particular case of hybrid systems are considered. Using energy considerations, hybrid automaton is built from switching bond graph (SBG) model. Second, we express different conditions for the structural observability of the continuous and discrete states, and structural observability of the switching times of SLHSS system. Our approach can be implemented in software such as Symbol2000 or 20sim, in order to observe and to control the SLHSS systems in real time.

Keywords: modelling; hybrid automaton: structural observability; singular system; discrete and continuous state; switching times.

DOI: 10.1504/IJMIC.2017.084717

International Journal of Modelling, Identification and Control, 2017 Vol.27 No.4, pp.279 - 292

Received: 13 Jan 2016
Accepted: 19 May 2016

Published online: 09 Jun 2017 *

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