Delayed-feedback control of oscillations in non-linear planar systems

被引：38
|
作者：
Atay, FM [1 ]
机构：
[1] Artesis Arcelik AS, TR-81719 Istanbul, Turkey
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2002年 / 75卷 / 05期
关键词：
Asymptotic stability - Convergence of numerical methods - Delay control systems - Feedback control - Linear control systems - Oscillations;
D O I：
10.1080/00207170110107265
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The use of delayed feedback of position for the control of oscillatory behaviour is analysed. It is shown that linear feedback can annihilate limit cycles and stabilize the origin. Furthermore, it is possible to create an asymptotically stable limit cycle with any prescribed amplitude using a simple non-linear feedback. For almost all values of the delay, these feats can be achieved without using derivative information in the feedback. The results indicate a possible mechanism by which biological systems accomplish complex control tasks using delayed and partial state information.
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页码：297 / 304
页数：8
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