Chaotic Behavior in a Switched Dynamical System

We present a numerical study of an example of piecewise linear systems that constitute a class of hybrid systems. Precisely, we study the chaotic dynamics of the voltage-mode controlled buck converter circuit in an open loop. By considering the voltage input as a bifurcation parameter, we observe th...

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Main Authors: Fatima El Guezar, Hassane Bouzahir
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Modelling and Simulation in Engineering
Online Access:http://dx.doi.org/10.1155/2008/798395
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author Fatima El Guezar
Hassane Bouzahir
author_facet Fatima El Guezar
Hassane Bouzahir
author_sort Fatima El Guezar
collection DOAJ
description We present a numerical study of an example of piecewise linear systems that constitute a class of hybrid systems. Precisely, we study the chaotic dynamics of the voltage-mode controlled buck converter circuit in an open loop. By considering the voltage input as a bifurcation parameter, we observe that the obtained simulations show that the buck converter is prone to have subharmonic behavior and chaos. We also present the corresponding bifurcation diagram. Our modeling techniques are based on the new French native modeler and simulator for hybrid systems called Scicos (Scilab connected object simulator) which is a Scilab (scientific laboratory) package. The followed approach takes into account the hybrid nature of the circuit.
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institution Kabale University
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series Modelling and Simulation in Engineering
spelling doaj-art-db481d1d63124d46b1d98540361f1a862025-02-03T05:58:36ZengWileyModelling and Simulation in Engineering1687-55911687-56052008-01-01200810.1155/2008/798395798395Chaotic Behavior in a Switched Dynamical SystemFatima El Guezar0Hassane Bouzahir1Laboratoire Toulousain des Technologies et Ingénierie des Systèmes (LATTIS), INSA, 135 Avenue de Rangueil, 31077 Toulouse Cedex 4, FranceESSI, ENSA, University Ibn Zohr, P. O. Box 1136, Agadir 80000, MoroccoWe present a numerical study of an example of piecewise linear systems that constitute a class of hybrid systems. Precisely, we study the chaotic dynamics of the voltage-mode controlled buck converter circuit in an open loop. By considering the voltage input as a bifurcation parameter, we observe that the obtained simulations show that the buck converter is prone to have subharmonic behavior and chaos. We also present the corresponding bifurcation diagram. Our modeling techniques are based on the new French native modeler and simulator for hybrid systems called Scicos (Scilab connected object simulator) which is a Scilab (scientific laboratory) package. The followed approach takes into account the hybrid nature of the circuit.http://dx.doi.org/10.1155/2008/798395
spellingShingle Fatima El Guezar
Hassane Bouzahir
Chaotic Behavior in a Switched Dynamical System
Modelling and Simulation in Engineering
title Chaotic Behavior in a Switched Dynamical System
title_full Chaotic Behavior in a Switched Dynamical System
title_fullStr Chaotic Behavior in a Switched Dynamical System
title_full_unstemmed Chaotic Behavior in a Switched Dynamical System
title_short Chaotic Behavior in a Switched Dynamical System
title_sort chaotic behavior in a switched dynamical system
url http://dx.doi.org/10.1155/2008/798395
work_keys_str_mv AT fatimaelguezar chaoticbehaviorinaswitcheddynamicalsystem
AT hassanebouzahir chaoticbehaviorinaswitcheddynamicalsystem