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.