Bruno Gérard Michel ROBERT | Université de Reims Champagne-Ardenne (original) (raw)
Address: UFR Sciences Exactes et Naturelles de Reims
Moulin de la Housse - BP 1039
51687 Reims Cedex 2
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Papers by Bruno Gérard Michel ROBERT
This paper deals with nonlinear dynamics of a PWM current-programmed H-Bridge. Fully chaotic beha... more This paper deals with nonlinear dynamics of a PWM current-programmed H-Bridge. Fully chaotic behaviours appear and disappear under control tuning of the current loop. To explain how this strange dynamics evolve, we present a model that is a parametric one-dimensional piecewise linear map. We show how to apply a recent advance in chaos theory in order to determine the fixed points analytically, their domains of stability, and of the bifurcation points. Bifurcations which are nongeneric for smooth dynamical systems, also called Border Collision Bifurcations, allow a better understanding of the bifurcation diagram. With this example, we show that it is possible to predict the appearance of chaos in this converter in an entirely analytical way.
International Journal of Bifurcation and Chaos, 2006
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2003
Chaos, Solitons & Fractals, 2003
Chaos, Solitons & Fractals, 2003
2008 12th International Middle East Power System Conference, MEPCON 2008, 2008
2010 7th International Multi-Conference on Systems, Signals and Devices, SSD-10, 2010
Journal of Circuits, Systems and Computers, 2004
International Journal of Bifurcation and Chaos, 2009
This paper deals with nonlinear dynamics of a PWM current-programmed H-Bridge. Fully chaotic beha... more This paper deals with nonlinear dynamics of a PWM current-programmed H-Bridge. Fully chaotic behaviours appear and disappear under control tuning of the current loop. To explain how this strange dynamics evolve, we present a model that is a parametric one-dimensional piecewise linear map. We show how to apply a recent advance in chaos theory in order to determine the fixed points analytically, their domains of stability, and of the bifurcation points. Bifurcations which are nongeneric for smooth dynamical systems, also called Border Collision Bifurcations, allow a better understanding of the bifurcation diagram. With this example, we show that it is possible to predict the appearance of chaos in this converter in an entirely analytical way.
International Journal of Bifurcation and Chaos, 2006
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2003
Chaos, Solitons & Fractals, 2003
Chaos, Solitons & Fractals, 2003
2008 12th International Middle East Power System Conference, MEPCON 2008, 2008
2010 7th International Multi-Conference on Systems, Signals and Devices, SSD-10, 2010
Journal of Circuits, Systems and Computers, 2004
International Journal of Bifurcation and Chaos, 2009