The dynamics of a ZAD-strategy controlled DC/DC Buck converter, modelled by a set of differential equations with discontinuous right-hand side is studied. Period-doubling and {\it corner-collision} bifurcations are found to occur close to each other under small parameter variations. Closer examination of the parameter space leads to the discovery of a novel bifurcation. This type of bifurcation has not been reported so far in the literature and it corresponds to a corner-collision bifurcation of a non-hyperbolic cycle. The bifurcation boundaries are computed analytically in this paper and the system dynamics are unfolded close to the novel bifurcation point.
Two-parameter discontinuity-induced bifurcation curves in a ZAD-Strategy Controlled DC-DC Buck Converter / F., Angulo; G., Olivar; DI BERNARDO, Mario. - In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS. I, REGULAR PAPERS. - ISSN 1549-8328. - STAMPA. - 55:8(2008), pp. 2392-2401.
Two-parameter discontinuity-induced bifurcation curves in a ZAD-Strategy Controlled DC-DC Buck Converter
DI BERNARDO, MARIO
2008
Abstract
The dynamics of a ZAD-strategy controlled DC/DC Buck converter, modelled by a set of differential equations with discontinuous right-hand side is studied. Period-doubling and {\it corner-collision} bifurcations are found to occur close to each other under small parameter variations. Closer examination of the parameter space leads to the discovery of a novel bifurcation. This type of bifurcation has not been reported so far in the literature and it corresponds to a corner-collision bifurcation of a non-hyperbolic cycle. The bifurcation boundaries are computed analytically in this paper and the system dynamics are unfolded close to the novel bifurcation point.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
