Abstract

SOSA, Keiver; LLIBRE, Jaume; SPINETTI-RIVERA, Mario  and  COLINA-MORLES, Eliezer. Qualitative Behaviour Analysis of Feedback-Controlled Buck-Boost Power Converters Thru Three Different Techniques. Rev Politéc. (Quito) [online]. 2018, vol.42, n.1, pp.7-16. ISSN 2477-8990.

This work is based on the comparison of three techniques for analyzing the qualitative behaviour of nonlinear dynamic 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 and the linearization around finite equilibrium points. These techniques provide information about the local or global stability of nonlinear systems. The state feedback controlled Buck-Boost power converter will be used as a case of study.

Keywords : Nonlinear system; Bounded system; Qualitative analysis of dynamical systems; Lyapunov method; Buck-Boost power converter.

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