Chaotifying a stable map via smooth small-amplitude high-frequency feedback control

Abstract

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.