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.
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.
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Papers by Bruno Gérard Michel ROBERT