| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 29, Number 3, June 2024
|
|
|---|---|---|
| Page(s) | 284 - 292 | |
| DOI | https://doi.org/10.1051/wujns/2024293284 | |
| Published online | 03 July 2024 | |
Mathematics
CLC number: O231
Control and Stabilization of Chaotic System Based on Linear Feedback Control Method
School of Public Health, Gansu University of Chinese Medicine, Lanzhou 730000, Gansu, China
† Corresponding author. E-mail: dkli2009@163.com
Received:
28
June
2023
In this paper, two kinds of chaotic systems are controlled respectively with and without time-delay to eliminate their chaotic behaviors. First of all, according to the first-order approximation method and the stabilization condition of the linear system, one linear feedback controller is structured to control the chaotic system without time-delay, its chaotic behavior is eliminated and stabilized to its equilibrium. After that, based on the first-order approximation method, the Lyapunov stability theorem, and the matrix inequality theory, the other linear feedback controller is structured to control the chaotic system with time-delay and make it stabilized at its equilibrium. Finally, two numerical examples are given to illustrate the correctness and effectiveness of the two linear feedback controllers.
Key words: chaotic system without time-delay / chaotic system with time-delay / stabilization / linear feedback control method
Cite this article: WEI Xingmin, LI Dekui. Control and Stabilization of Chaotic System Based on Linear Feedback Control Method[J]. Wuhan Univ J of Nat Sci, 2024, 29(3): 284-292.
Biography: WEI Xingmin, male, Associate professor, research direction: differential equation and dynamical system. E-mail:weixingmin@gszy.edu.cn
Fundation item: Supported by the National Natural Science Foundation of China (61863022), the Natural Science Foundation of Gansu Province(20JR10RA329), and Scientific Research and Innovation Fund Project of Gansu University of Chinese Medicine in 2019 (2019KCYB-10)
© Wuhan University 2024
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