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

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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.

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Authors and Affiliations

  1. Department of Civil Engineering, Xiamen University, Xiamen, 361005, China

    ZhongHua Liu

  2. Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou, 310027, China

    WeiQiu Zhu

Authors
  1. ZhongHua Liu
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  2. WeiQiu Zhu
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Corresponding author

Correspondence to WeiQiu Zhu.

Additional information

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), and Fujian Provincial Science and Technology Project (Grant No. 2005YZ1021)

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Liu, Z., Zhu, W. Compensation for time-delayed feedback bang-bang control of quasi-integrable Hamiltonian systems. Sci. China Ser. E-Technol. Sci. 52, 688–697 (2009). https://doi.org/10.1007/s11431-009-0035-2

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  • DOI: https://doi.org/10.1007/s11431-009-0035-2

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