Sequence-based Lyapunov stability of power-electronic converters

This paper¹ outlines a methodology [1] to analyze the reaching condition of a class of switching system, which will be referred to as switching power converter (SPC), using a piecewise linear (PWL) model and multiple Lyapunov method. The reaching criteria for orbital existence are formulated as a linear matrix inequality (LMI), which is solved using a convex optimization solver. Further, the criterion is modified to distinguish the different modes of convergences of the reaching dynamics. A case study using a basic SPC is provided to illustrate the applicability of the proposed methodology.