Stabilizing Controller Design for Quasi-Resonant Converters Described by a Class of Piecewise Linear Models

This paper presents a stabilizing controller design method for quasi resonant (QR) converters described by a class of piecewise linear (PWL) models. The generalized state-space averaging technique (GSSA) is applied for the modeling and analysis of the half-wave zero current switching quasi-resonant (HW-ZCS-QR) buck converter. The nonlinear GSSA model of the converter is reconstructed using a piecewise linearizing technique. Subsequently, the piecewise linear models are combined together, to form a unified model, using a fuzzy modeling approach. The stability of the applied method has been investigated using Lyapunov method. Finally, a linear H∞ controller synthesis method is applied to the converter described by the proposed model. The experimental results on the converter are presented to verify the performance of the applied method for modeling the dynamics of the converter and designing the appropriate controller.