ID 112118
著者
伊藤, 大輔 University of Tokushima
高坂, 拓司 Oita University
Imura, Jun'ichi Tokyo Institute of Technology
合原, 一幸 University of Tokyo
キーワード
Controlling chaos
hybrid system
switching threshold
資料タイプ
学術雑誌論文
抄録
We try to stabilize unstable periodic orbits embedded in a given chaotic hybrid dynamical system by a perturbation of a threshold value. In conventional chaos control methods, a control input is designed by state-feedback, which is proportional to the difference between the target orbit and the current state, and it is applied into a specific system parameter or the state as a small perturbation. During a transition state, the control system consumes a certain control energy given by integration of such perturbations. In our method, we change the threshold value dynamically to control the chaotic orbit. Unlike the OGY method and the delayed feedback control, no actual control input is added into the system. The state-feedback is utilized only to determine the dynamic threshold value, thus the orbit starting from the current threshold value reaches the next controlled threshold value without any control energy. We obtain the variation of the threshold value from the composite Poincaré map, and the controller is designed by the linear feedback theory with this variation. We demonstrate this method in simple hybrid chaotic systems and show its control performances with evaluating basins of attraction.
掲載誌名
International Journal of Bifurcation and Chaos
ISSN
02181274
17936551
cat書誌ID
AA10810319
出版者
World Scientific
24
10
開始ページ
1450125
発行日
2014-10
権利情報
Electronic version of an article published as International Journal of Bifurcation and Chaos Vol. 24, No. 10, 2014, 1450125, DOI: 10.1142/S0218127414501259 © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijbc
EDB ID
278077
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出版社版URL
フルテキストファイル
言語
eng
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