An equivalent continuous model for switched systems

This article proposes a new technique of continuous modeling for switched systems represented as piecewise linear time invariant (LTI) systems over the state space variable. A procedure to calculate the Root Mean Square (RMS) value in one switching period of selected outputs based on this technique is also shown. The proposed model searches to compute accurately the continuous state space matrices that represent the switched system in average and in RMS. The proposal is validated through a simulated boost converter. Comparisons of the time and frequency response with respect to the classical approach show a better performance of the proposed model.