Design of Generalized Hysteresis Controllers for DC–DC Switching Power Converters

This paper proposes a novel uniform controller design approach for switching power converters. The procedure allows the deriving of both clock-driven and event-driven switching laws for controlling the stationary converter operation. A generic control scheme is introduced, which generalizes the concept of hysteresis control and executes a mode change, whenever the augmented state trajectory intersects with a switching plane in the state-time space. In contrast to previous approaches, the switching planes are systematically computed by means of results on periodic control systems. Consequently, desired loop properties such as orbital stability of a limit cycle and a fast transient response are guaranteed at least in a local neighborhood around a nominal set point. All results apply to a large class of switching converters and impose no restrictions on the number of energy storage devices or switches.