In this paper, two different active control approaches are proposed for a cascaded interconnection of a boost converter and input filter. Designing stabilizing controller in the presence of input filter is a challenging problem. For this reason, a continuous embedded Pulse Width Modulation (PWM) control approach based on the averaged dynamics of the system and duty-cycle manipulation of fixed-frequency PWM control block is proposed and nonlinear controller with a simple structure is developed. Then, as a secondary approach, the system is presented in the hybrid dynamical system framework and hybrid control is developed in a time-triggered scheme. The hybrid dynamical model avoids any approximation or use of PWM block, hence control policy is applied via direct switching control resulting in variable-frequency switching signal. Stability analysis and performance investigation are studied for both of the proposed controllers for the required conditions, and control design procedure are extracted. Finally, a comprehensive numerical simulation is evaluated and results are discussed in full detail.