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Chaotifying a stable map via smooth small‐amplitude high‐frequency feedback control
Author(s) -
Wang Xiao Fan,
Chen Guanrong
Publication year - 2000
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/(sici)1097-007x(200005/06)28:3<305::aid-cta106>3.0.co;2-p
Subject(s) - control theory (sociology) , amplitude , chaotic , feedback control , computer science , mode (computer interface) , control (management) , mathematics , engineering , control engineering , physics , artificial intelligence , operating system , quantum mechanics
In this paper, the problem of making a stable map chaotic by using smooth small‐amplitude high‐frequency feedback control is studied. The controlled map is mathematically proven to be chaotic in the sense of Li and Yorke. To demonstrate the practical usefulness of the proposed method, it is applied to a feedback boost switching regulator model operating in discontinuous mode. Copyright © 2000 John Wiley & Sons, Ltd.