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