15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
QUASI-PERIODIC PHENOMENA AND PHASE-LOCKED ORBITS IN DC-DC BOOST SWITCHING REGULATORS
Abdelali El Aroudi* Gerard Olivar**
* Department of Electronic, Electric and Automatic
Engineering, Rovira i Virgili University, Carretera de
Salou, s/n 43006 Tarragona, Spain
** Department of Applied Mathematics IV, Technical
University of Catalonia, EUPVG, 08800 Vilanovai la
Geltru, Spain

Quasi-periodic route to chaos is a common feature in DC-DC switching converters like the Boost and the Buck-Boost. A periodic orbit bifurcates into a T2 torus through a Neimark-Sacker bifurcation, and then, quasi-periodic behaviour is obtained. Further changes in the parameters may breakdown such torus resulting in chaotic behaviour. Analytical expressions are deduced for the stability character of the orbits, although numerical simulations and experimental measurements are also provided to reinforce the theory.
Keywords: Chaos, Converters, Phase locking, Pulse-width modulation, Stability analysis, Stabilization methods
Session slot T-Th-M08: Oscillations in Nonsmooth Feedback Systems/Area code 2c : Non-linear Systems