caa a22 4500 445361069 CHVBK 20180317142915.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s11071-010-9782-7 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9782-7 Virtual orbits and two-parameter bifurcation analysis inaZAD-controlled buck converter [Elektronische Daten] [Viktor Avrutin, Enric Fossas, Albert Granados, Michael Schanz] 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. Springer Science+Business Media B.V., 2010 Non-smooth systems nationallicence Bifurcations nationallicence Virtual orbits nationallicence Zero average dynamics nationallicence Control nationallicence Power electronics nationallicence Avrutin Viktor IPVS, University of Stuttgart, Stuttgart, Germany aut Fossas Enric IOC-ESAII, Universitat Politècnica de Catalunya, Barcelona, Spain aut Granados Albert IPVS, University of Stuttgart, Stuttgart, Germany aut Schanz Michael IPVS, University of Stuttgart, Stuttgart, Germany aut Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 19-33 0924-090X 63:1-2<19 2011 63 11071 https://doi.org/10.1007/s11071-010-9782-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9782-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Avrutin Viktor IPVS, University of Stuttgart, Stuttgart, Germany aut NATIONALLICENCE 700 1- Fossas Enric IOC-ESAII, Universitat Politècnica de Catalunya, Barcelona, Spain aut NATIONALLICENCE 700 1- Granados Albert IPVS, University of Stuttgart, Stuttgart, Germany aut NATIONALLICENCE 700 1- Schanz Michael IPVS, University of Stuttgart, Stuttgart, Germany aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 19-33 0924-090X 63:1-2<19 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer