@inproceedings{527996f921094e71b95c0dc93d157106,
title = "On The Form of Feedback Function That Can Lead To Chaos in Discontinuous-Mode DC/DC Converters",
abstract = "In this paper we study the conditions for the dc/dc boost and buck switching regulators operating in discontinuous conduction mode to possibly undergo a period-doubling route to chaos. The essential mathematical tool is the Schwarzian derivative. The result helps determine the form of feedback control scheme for which a period-doubling route to chaos may exist. Results from the calculations reveal that these two types of converters share the same set of conditions. Specifically, any monotonically decreasing control function with a sufficiently large small-signal gain may give rise to a period-doubling cascade in both the boost and the buck dc/dc switching regulators. The analysis in principle can be applied to other types of converters operating in discontinuous conduction mode.",
author = "Chan, \{William C.Y.\} and Tse, \{C. K.\}",
year = "1997",
month = jun,
doi = "10.1109/pesc.1997.616939",
language = "English",
isbn = "0780338405",
volume = "2",
series = "PESC Record - IEEE Annual Power Electronics Specialists Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1317--1322",
booktitle = "PESC97. Record 28th Annual IEEE Power Electronics Specialists Conference. Formerly Power Conditioning Specialists Conference 1970-71. Power Processing and Electronic Specialists Conference 1972",
note = "Proceedings of the 1997 28th Annual IEEE Power Electronics Specialists Conference, PESC. Part 1 (of 2) ; Conference date: 23-06-1997 Through 26-06-1997",
}