TY - JOUR
T1 - Dynamic systems behaviour analysis and design based on the qualitative theory of differential equations
T2 - The Boost power converter case
AU - Llibre, Jaume
AU - Spinetti-Rivera, Mario
AU - Colina-Morles, Eliezer
N1 - Funding Information:
Jaume Llibre is partially supported by a MINECO/FEDER [grant number MTM2008-03437], [grant number MTM2013-40998-P]; an AGAUR [grant number 2014SGR568], an ICREA Academia [grant number FP7-PEOPLE-2012-IRSES 318999], [grant number 316338], [FEDER-UNAB-10-4E-378]. Eliezer Colina-Morles is supported by the Prometeo project sponsored by Secretariat of Higher Education, Science, Technology and Innovation of Ecuador.
Publisher Copyright:
© 2015 Taylor & Francis.
PY - 2015/6/3
Y1 - 2015/6/3
N2 - 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.
AB - 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.
KW - control theory
KW - nonlinear systems
KW - Poincaré compactification
KW - power converters
KW - topological index
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U2 - 10.1080/00207179.2014.994037
DO - 10.1080/00207179.2014.994037
M3 - Article
AN - SCOPUS:84928206392
SN - 0020-7179
VL - 88
SP - 1103
EP - 1111
JO - International Journal of Control
JF - International Journal of Control
IS - 6
ER -