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.