Event detection occurrence for planar piece-wise affine hybrid systems |
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Authors: | Fatima El Guezar Hassane Bouzahir Danièle Fournier-Prunaret |
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Institution: | 1. ERMAGIM, ESSI & LabSIV, Ibn Zohr University, EST, PO Box 32/S, Agadir, Morocco;2. Faculty of Engineering, AlHosn University, PO Box 38772, Abu Dhabi, United Arab Emirates;3. LATTIS-INSA & LAAS, University of Toulouse, 135 Av. de Rangueil, F-31077 Toulouse, Cedex 4, France |
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Abstract: | Many switched circuits are made of linear components switched by a simple logic unit. In this paper, we use a generic planar Piece-wise Affine Hybrid System (PWAHS) to model this kind of circuit. Usually, simulations are run by analytical methods (adapted to a specific simple model) or by numerical simulations that can miss some events’ occurrences. We propose a generic planar method to simulate PWAHSs with periodic and state dependent events. Using analytical expressions, our approach can reach arbitrary accuracy in event detections without any loss. As a result, we have implemented our method in Scilab and Matlab toolboxes. |
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