In this paper, the stabilization of the voltage at the output of Boost converters is studied using a switching control method developed in the field of switched affine systems. This control law uses the instantaneous model instead of the nonlinear average model of the converter and has certain advantages compared to traditional approaches. Despite these advantages, the closed-loop system suffers from the occurrence of sliding modes, leading to unacceptable rises in the switching frequency. An adaptation of this control law is proposed in this paper to overcome this problem, and the adopted strategy is based on the introduction of hysteresis in the switching law. Moreover, the extension to Boost converters in parallel is also shown, with the attractive property of each converter only needing local measurements for global stabilization of the system. A comparison with the hysteresis current control method is conducted in simulations.

Many power electronic converters can be modeled using the theoretical framework of switched affine systems, which considers the instantaneous dynamics of the converter instead of its averaged model. In this class of systems, a certain number of subsystems is present and a control law is designed to orchestrate the switching among them. When the switching law is state-dependent, the closed-loop system is stabilized at the desired equilibrium through sliding mode dynamics, leading to infinite-rate switching. In this paper, a control strategy is proposed using constant-width hysteresis as a way of bounding the switching frequency at a finite value when two subsystems are present. In addition, an upper bound on the hysteresis width is provided so that the system is not stabilized at the equilibrium of a subsystem. Finally, simulation results illustrating the application of the proposed method to power electronic converters are presented. The relation between the switching law parameters and the current ripple is discussed for a dc-dc Boost converter and a Buck converter.