1996/09/17 by C. Batlle, Carles Batlle, Enric Fossas +6
Computer Science · Engineering · Physics and Astronomy · #Advanced DC-DC Converters #Advancements in PLL and VCO Technologies #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #chao-dyn #nlin.CD
paper · pdf · doi:10.48550/arxiv.chao-dyn/9609009
15 pages, Latex2e, 17 (grouped) ps figures are included, uses amssymb.sty, epsfig.sty, subfigure.sty
arxiv created 1996/09/17 · openalex publication_date 1996/09/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Time-delay autosynchronization (TDAS) can be used to stabilize unstable periodic orbits in dynamical systems. The technique involves continuous feedback of signals delayed by the orbit's period. One variant, ETDAS, uses information further in the past. In both cases, the feedback signal vanishes on the target periodic orbit and hence the stabilized periodic orbit is one of the original dynamical system. Furthermore, this control method only requires the knowledge of the period of the unstable orbit. The amount of feedback gain needed to achieve stabilization varies with the bifurcation parameter(s) of the system, resulting in a domain of control. In this paper we compute the domain of control of the unstable periodic orbits of the buck converter. We obtain a closed analytical expression for the curve g:S1 →\C whose index determines the stability, and this index is then numerically computed. We run several simulations of the controlled system and discuss the results.