Qualitative Behaviour Analysis of Feedback-Controlled Buck-Boost Power Converters Thru Three Different Techniques.

Resumen

This work is based on the comparison of three techniques for analyzing the qualitative behaviour of nonlineardynamic systems, including the study of their finite and infinite equilibrium points. The qualitative techniques used are:the direct method of Lyapunov, the theorems of Dickson and Perko for second order quadratic differential systems andthe linearization around finite equilibrium points. These techniques provide information about the local or global stabilityof nonlinear systems. The state feedback controlled Buck-Boost power converter will be used as a case of study.