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Compensation for time-delayed feedback bang-bang control of quasi-integrable Hamiltonian systems

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【Author】 LIU ZhongHua1 & ZHU WeiQiu2 1 Department of Civil Engineering, Xiamen University, Xiamen 361005, China; 2 Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China

【摘要】 The stochastic averaging method for quasi-integrable Hamiltonian systems with time-delayed feedback bang-bang control is first introduced. Then, two time delay compensation methods, namely the method of changing control force amplitude (CFA) and the method of changing control delay time (CDT), are proposed. The conditions applicable to each compensation method are discussed. Finally, an example is worked out in detail to illustrate the application and effectiveness of the proposed methods and the two compensation methods in combination.更多还原

【Abstract】 The stochastic averaging method for quasi-integrable Hamiltonian systems with time-delayed feedback bang-bang control is first introduced. Then, two time delay compensation methods, namely the method of changing control force amplitude (CFA) and the method of changing control delay time (CDT), are proposed. The conditions applicable to each compensation method are discussed. Finally, an example is worked out in detail to illustrate the application and effectiveness of the proposed methods and the two compensation methods in combination.更多还原

【关键词】 time-delayed feedback control； compensation method； bang-bang control； quasi-integrable Hamiltonian system；
【Key words】 time-delayed feedback control； compensation method； bang-bang control； quasi-integrable Hamiltonian system；

【基金】 Supported by the National Natural Science Foundation of China (Grant No. 10772159);the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20060335125);Zhejiang Natural Science Foundation (Grant No. Y7080070);Fujian Provincial Science and Technology Project (Grant No. 2005YZ1021)

【文献出处】 Science in China(Series E:Technological Sciences) ,中国科学(E辑:技术科学)(英文版) , 编辑部邮箱 ,2009年03期

【分类号】O411
【被引频次】5
【下载频次】62

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