Existence of horseshoe maps in voltage-mode controlled buck converters
Dai Dong(戴栋)a)†, Tse Chi-Kong(谢智刚)b), and Ma Xi-Kui(马西奎)a)
a State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China; b Department of Electronic and Information Engineering,Hong Kong Polytechnic University, Hong Kong, China
Abstract In this paper, chaos in a voltage-mode controlled buck converter is studied. The existence of chaos is proven theoretically in this system. The proof consists of showing that the dynamics of the system is semiconjugate to that of a one-sided shift map, which implies positive entropy of the system and hence chaotic behaviour. The essential tool is the horseshoe hypotheses proposed by Kennedy and Yorke, which will be reviewed prior to the discussion of the main finding.
Received: 23 July 2005
Revised: 05 January 2006
Accepted manuscript online:
PACS:
05.45.-a
(Nonlinear dynamics and chaos)
Fund: Project supported by
National Natural Science Foundation of China (Grant No 50577047),
Specialized Research Fund for the\linebreak
\makebox[1.6mm]{}Doctoral Program of Higher Education of China
(Grant No 20050698004).
Cite this article:
Dai Dong(戴栋), Tse Chi-Kong(谢智刚), and Ma Xi-Kui(马西奎) Existence of horseshoe maps in voltage-mode controlled buck converters 2006 Chinese Physics 15 2535
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