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Chaotic Behavior in a Switched Dynamical System
Author(s) -
Fatima El Guezar,
Hassane Bouzahir
Publication year - 2008
Publication title -
modelling and simulation in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 20
eISSN - 1687-5591
pISSN - 1687-5605
DOI - 10.1155/2008/798395
Subject(s) - bifurcation , chaotic , buck converter , control theory (sociology) , piecewise linear function , computer science , bifurcation diagram , hybrid system , electronic circuit , mode (computer interface) , voltage , circuit diagram , subharmonic , piecewise , topology (electrical circuits) , nonlinear system , engineering , physics , electronic engineering , mathematics , electrical engineering , mathematical analysis , control (management) , quantum mechanics , artificial intelligence , machine learning , operating 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 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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