ID 112951
著者
Miino, Yuu Tokushima University
伊藤, 大輔 Gifu University
Asahara, Hiroyuki Okayama University
高坂, 拓司 Oita University|Chukyo University
キーワード
circuit implementation
controlling chaos
numerical simulation
switched dynamical system
資料タイプ
学術雑誌論文
抄録
In the previous study, a method to control chaos for switched dynamical systems with constant threshold value has been proposed. In this paper, we extend this method to the systems including a periodically moving threshold. The main control scheme is based on the pole placement, then a small control perturbation added to the moving threshold value can stabilize an unstable periodic orbit embedded within a chaotic attractor. For an arbitrary periodic function of the threshold movement, we mathematically derive the variational equations, the state feedback parameters, and a control gain by composing a suitable Poincare map. As examples, we illustrate control implementations for systems with thresholds whose movement waveforms are sinusoidal and sawtooth-shape, and unstable one and two periodic orbits in each circuit are stabilized in numerical and circuit experiments. In these experiments, we confirm enough convergence of the control input.
掲載誌名
International Journal of Circuit Theory and Applications
ISSN
00989886
1097007X
cat書誌ID
AA00680046
AA11621606
出版者
John Wiley & Sons Ltd
46
12
開始ページ
2380
終了ページ
2393
発行日
2018-10-14
備考
This is the peer reviewed version of the following article: Miino Y, Ito D, Asahara H, Kousaka T, Ueta T. A general method to stabilize unstable periodic orbits for switched dynamical systems with a periodically moving threshold. Int J Circ Theor Appl. 2018;46:2380‐2393., which has been published in final form at https://doi.org/10.1002/cta.2573. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.
論文本文は2019-10-14以降公開予定
EDB ID
345349
出版社版DOI
出版社版URL
言語
eng
著者版フラグ
その他
部局
情報センター