Artículos de revistas
Dynamic systems behaviour analysis and design based on the qualitative theory of differential equations: the Boost power converter case
International Journal of Control
Autor
Llibre, Jaume
Spinetti-Rivera, Mario
Colina Morles, Eliezer
Institución
Resumen
This paper uses the qualitative theory of differential equations to analyse/design the dynamic behaviour of control systems. In particular, the Poincaré compactification and the Poincaré--Hopf theorem are used for analysing the local dynamics near the finite and infinite equilibrium points. As an application, a large signal characterisation of a Boost type power converter in closed loop, including its equilibrium/bifurcation points and its global dynamics, which depends upon the value of the load resistance, is studied. Cuenca vol. 88; no. 6