Inducing periodic oscillations and chaos in continuous systems via time-delay controllers

被引:0
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作者
Alvarez, Joaquin [1 ]
机构
[1] Scientific Research and Advanced, Studies Cent of Ensenada, San Diego, United States
关键词
Chaos theory - Circuit oscillations - Closed loop control systems - Delay circuits - Dynamics - Feedback control - Linear systems - Perturbation techniques;
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学科分类号
摘要
A technique to produce periodic and chaotic oscillations in simple continuous-time systems that without control do not necessarily exhibit an oscillatory behavior, is proposed. First a fast dynamics is produced using a feedback linearization controller such that the closed-loop system can be given a singular perturbation structure. Then a second control term containing a nonlinear map of a delayed state is added. This map produces periodic oscillations and chaos in the sense of Li and Yorke.
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页码:217 / 220
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