Control of Fast Scale Bifurcations in Power-Factor Correction Converters

This brief proposes a novel controller which greatly enhances the performance of a power-factor correction converter. This controller is optimally tuned to place the eigenvalues of the system well inside the unit circle and hence it guarantees stable operation over a wide range of input voltages. The design of the controller is based on the stability analysis of the system using the state transition matrix over a clock cycle. It is shown that the transition matrix across the switching manifold greatly influences the system´s performance, allowing the system to be stabilized by periodically altering the manifold. The results are validated by analytical and numerical studies.