Complex dynamics in a two-cell DC/DC buck converter using a dynamic feedback controller

Power converters are known to exhibit border collision bifurcation and chaos. In this paper, we consider the example of a two-cell DC/DC buck converter controlled with a dynamic feedback controller. We use a simplified discrete model to analyze the complex dynamics in the converter. Then, we give theoretical conditions of stability according to the values of the parameters. Toggling between different modes in the circuit influences the appearance of switching-sliding bifurcation and undesirable saturating regimes. Numerical simulations confirm the analytical results and explain the complex dynamics and the strange phenomena encountered in the two-cell converter.