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Dynamical Analysis on Single Degree-of-Freedom Semiactive Control System by Using Fractional-Order Derivative

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  • Yongjun Shen
  • Minghui Fan
  • Xianghong Li
  • Shaopu Yang
  • Haijun Xing

Abstract

The single degree-of-freedom (SDOF) system under the control of three semiactive methods is analytically studied in this paper, where a fractional-order derivative is used in the mathematical model. The three semiactive control methods are on-off control, limited relative displacement (LRD) control, and relative control, respectively. The averaging method is adopted to provide an analytical study on the performance of the three different control methods. Based on the comparison between the analytical solutions with the numerical ones, it could be proved that the analytical solutions are accurate enough. The effects of the fractional-order parameters on the control performance, especially the relative and absolute displacement transmissibility, are analyzed. The research results indicate that the steady-state amplitudes of the three semiactive systems with fractional-order derivative in the model could be significantly reduced and the control performance can be greatly improved.

Suggested Citation

  • Yongjun Shen & Minghui Fan & Xianghong Li & Shaopu Yang & Haijun Xing, 2015. "Dynamical Analysis on Single Degree-of-Freedom Semiactive Control System by Using Fractional-Order Derivative," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-13, May.
    • Handle: RePEc:hin:jnlmpe:272790
    DOI: 10.1155/2015/272790
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    Cited by:

    1. Edward Boone & Jan Hannig & Ryad Ghanam & Sujit Ghosh & Fabrizio Ruggeri & Serge Prudhomme, 2022. "Model Validation of a Single Degree-of-Freedom Oscillator: A Case Study," Stats, MDPI, vol. 5(4), pages 1-17, November.

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