Stabilizing control based on Stability Transformation Method for switching power converter

A dynamic controller based on Stability Transformation Method (STM) has been used to stabilize unknown unstable periodic orbits (UPOs) in dynamical systems. The advantage of the control method is that it can stabilize the UPOs without information of location about the target orbit. In this study, we introduce a novel control method based on STM to stabilize UPOs in DC-DC switching power converter. The idea of the proposed method is to apply temporal perturbations to switching time, where the perturbation can be calculated exactly by using a dynamic controller based on STM. Therefore, our control method can stabilize unknown UPOs. The effectiveness of proposed method is verified by theoretical analysis and circuit simulator.