Adaptive control of bifurcation and chaos in a time-delayed system
查看参考文献28篇
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文摘
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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 |
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来源
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Chinese Physics. B
,2013,22(3):030508-1-030508-11 【核心库】
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DOI
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10.1088/1674-1056/22/3/030508
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关键词
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delay
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parameter perturbation control
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hybrid control
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adaptive control
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地址
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1.
Institute of Systems Science,Northeastern University, Shenyang, 110819
2.
Institute of Applied Mechanics,Northeastern University, Shenyang, 110819
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College of Science,Shenyang JianZhu University, Shenyang, 110168
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1674-1056 |
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学科
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数学 |
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基金
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国家自然科学基金
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国家教育部高等学校博士学科点专项科研基金
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the Science Research Project of Education Department of Liaoning Province,China
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文献收藏号
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CSCD:4862368
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