Horseshoes, homoclinic connections and global chaos in current-mode controlled DC/DC converters

— In this paper, chaos in a current-mode controlled boost converter is studied. Firstly, 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 shift map, which implies positive entropy of the system and hence chaotic behavior. The essential tool is the horseshoe hypotheses proposed by Kennedy and Yorke, which will be reviewed prior to the discussion of the main finding. Then, the existence of chaos is illustrated in the light of homoclinic connection. Furthermore, global chaos resulting from homoclinic intersection of stable and unstable manifolds are illustrated numerically.

• Type: Conference
• Year: 2005
• Where: ISCAS
• Authors: Dong Dai, Yue Ma, Chi K. Michael Tse
• Keywords: Chaos, Controlled Boost Converter, Global Chaos, ISCAS 2005