Adaptive control of bifurcation and chaos in a time-delayed system

IMR OpenIR

	Adaptive control of bifurcation and chaos in a time-delayed system
其他题名	Adaptive control of bifurcation and chaos in a time-delayed system
	Li Ning 1; Yuan HuiQun 1; Sun HaiYi 2; Zhang QingLing 1
	2013
发表期刊	CHINESE PHYSICS B
ISSN	1674-1056
卷号	22 期号:3
摘要	In this paper, the stabilization of a continuous time-delayed system is considered. To control the bifurcation and chaos in a time-delayed system, a parameter perturbation control and a hybrid control are proposed. Then, to ensure the asymptotic stability of the system in the presence of unexpected system parameter changes, the adaptive control idea is introduced, i.e., the perturbation control parameter and the hybrid control parameter are automatically tuned according to the adaptation laws, respectively. The adaptation algorithms are constructed based on the Lyapunov-Krasovskii stability theorem. The adaptive parameter perturbation control and the adaptive hybrid control methods improve the corresponding constant control methods. They have the advantages of increased stability, adaptability to the changes of the system parameters, control cost saving, and simplicity. Numerical simulations for a well-known chaotic time-delayed system are performed to demonstrate the feasibility and superiority of the proposed control methods. A comparison of the two adaptive control methods is also made in an experimental study.
其他摘要	In this paper,the stabilization of a continuous time-delayed system is considered.To control the bifurcation and chaos in a time-delayed system,a parameter perturbation control and a hybrid control are proposed.Then,to ensure the asymptotic stability of the system in the presence of unexpected system parameter changes,the adaptive control idea is introduced,i.e.,the perturbation control parameter and the hybrid control parameter are automatically tuned according to the adaptation laws,respectively.The adaptation algorithms are constructed based on the Lyapunov-Krasovskii stability theorem.The adaptive parameter perturbation control and the adaptive hybrid control methods improve the corresponding constant control methods.They have the advantages of increased stability,adaptability to the changes of the system parameters,control cost saving,and simplicity.Numerical simulations for a well-known chaotic time-delayed system are performed to demonstrate the feasibility and superiority of the proposed control methods.A comparison of the two adaptive control methods is also made in an experimental study
关键词	RESONANT PARAMETRIC PERTURBATION HYBRID CONTROL FEEDBACK delay parameter perturbation control hybrid control adaptive control
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Specialized Research Fund for the Doctoral Program of Higher Education of China] ; [Education Department of Liaoning Province, China]
CSCD记录号	CSCD:4862368
引用统计	被引频次：2[CSCD] [CSCD记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/89682
专题	中国科学院金属研究所
作者单位	1.中国科学院金属研究所 2.沈阳建筑大学
推荐引用方式 GB/T 7714	Li Ning,Yuan HuiQun,Sun HaiYi,et al. Adaptive control of bifurcation and chaos in a time-delayed system[J]. CHINESE PHYSICS B,2013,22(3).
APA	Li Ning,Yuan HuiQun,Sun HaiYi,&Zhang QingLing.(2013).Adaptive control of bifurcation and chaos in a time-delayed system.CHINESE PHYSICS B,22(3).
MLA	Li Ning,et al."Adaptive control of bifurcation and chaos in a time-delayed system".CHINESE PHYSICS B 22.3(2013).