Journal article
Virtual orbits and two-parameter bifurcation analysis in a ZAD-controlled buck converter
Based on a recently obtained Lemma about periodic orbits in linear systems with a piecewise-linear non-autonomous periodic control, we describe analytically the bifurcation structures in a ZAD-controlled buck converter. This analytical description shows that the period doubling bifurcation in this system may be both subcritical or supercritical.
Considering virtual orbits we show how a saddle-node bifurcation becomes feasible and how it is destroyed at a new codimension-2 bifurcation point, where the subcritical period doubling bifurcation becomes supercritical. We also show that this phenomenon does not take place when the error surface in the ZAD conditions piecewise-linear defined.
Language: | English |
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Publisher: | Springer Netherlands |
Year: | 2010 |
Pages: | 19-33 |
Journal subtitle: | An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems |
ISSN: | 1573269x and 0924090x |
Types: | Journal article |
DOI: | 10.1007/s11071-010-9782-7 |