Summary

International Symposium on Nonlinear Theory and its Applications

2008

Session Number:B3L-C

Session:

Number:B3L-C3

Accurate and Fast Event Detection Occurrence in Planar Piecewise Affine Hybrid Systems

Fatima El Guezar,  Pascal Acco,  Hassane Bouzahir,  Daniele Fournier?Prunaret,  

pp.-

Publication Date:2008/9/7

Online ISSN:2188-5079

DOI:10.34385/proc.42.B3L-C3

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Summary:
Many switched circuits are made of linear components switched by a simple logic unit. In this paper, we use a generic planar Piecewise Affine Hybrid System (PWAHS) to model this kind of circuits. 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 expression, our approach can reach arbitrate accuracy in event detections without any loss. As a result, we have implemented our method in a Scilab toolbox.