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

Jaume Llibre, Mario Spinetti-Rivera, Eliezer Colina-Morles

Research output: Contribution to journalArticleResearchpeer-review

Abstract

© 2015 Taylor & Francis. 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.
Original languageEnglish
Pages (from-to)1103-1111
JournalInternational Journal of Control
Volume88
Issue number6
DOIs
Publication statusPublished - 3 Jun 2015

Keywords

  • control theory
  • nonlinear systems
  • Poincaré compactification
  • power converters
  • topological index

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