Hysteresis Switching Control of the Ćuk Converter Operating in Discontinuous Conduction Modes

In this brief, the behaviors of the Ćuk converter operating in discontinuous conduction modes (DCMs) under a hysteresis controlled switching are studied. The hysteresis switching is defined in terms of values of a common quadratic Lyapunov function and Lyapunov stability conditions are established for all possible switchings, which represent a DCM of operation. A set of simulation results are provided to illustrate the converter's behaviors when the hysteresis switching control results in discontinuous modes of operation.