Dynamic systems behaviour analysis and design based on the qualitative theory of differential equations: The Boost power converter case

Abstract:

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.

Año de publicación:

2015

Keywords:

• Poincaré compactification
• power converters
• Control theory
• Nonlinear systems
• topological index

Fuente:

rraae

scopus