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

作     者：李宁 袁惠群 孙海义 张庆灵 

作者机构：Institute of Systems ScienceNortheastern University Institute of Applied MechanicsNortheastern University College of ScienceShenyang JianZhu University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2013年第22卷第3期

页      面：245-255页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 070105[理学-运筹学与控制论] 0704[理学-天文学] 081101[工学-控制理论与控制工程] 0701[理学-数学] 071101[理学-系统理论] 0811[工学-控制科学与工程] 

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 10772043) the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090042110003) the Science Research Project of Education Department of Liaoning Province,China (Grant No. L2012208) 

主　　题：delay parameter perturbation control hybrid control adaptive control 

摘      要：In this paper,the stabilization of a continuous time-delayed system is *** control the bifurcation and chaos in a time-delayed system,a parameter perturbation control and a hybrid control are ***,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,*** adaptation algorithms are constructed based on the Lyapunov-Krasovskii stability *** adaptive parameter perturbation control and the adaptive hybrid control methods improve the corresponding constant control *** have the advantages of increased stability,adaptability to the changes of the system parameters,control cost saving,and *** 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.