ID | 112951 |
Author |
Miino, Yuu
Tokushima University
Ito, Daisuke
Gifu University
Asahara, Hiroyuki
Okayama University
Kousaka, Takuji
Oita University|Chukyo University
Ueta, Tetsushi
Tokushima University
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Keywords | circuit implementation
controlling chaos
numerical simulation
switched dynamical system
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Content Type |
Journal Article
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Description | 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.
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Journal Title |
International Journal of Circuit Theory and Applications
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ISSN | 00989886
1097007X
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NCID | AA00680046
AA11621606
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Publisher | John Wiley & Sons Ltd
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Volume | 46
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Issue | 12
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Start Page | 2380
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End Page | 2393
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Published Date | 2018-10-14
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Remark | 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.
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DOI (Published Version) | |
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language |
eng
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TextVersion |
Author
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departments |
Center for Administration of Information Technology
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