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Delayed feedback control experiments on some flexible structures

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Abstract

In recent decades, studies on delayed system dynamics have attracted increasing attention and advances have been achieved in stability, nonlinearity, delay identification, delay elimination and application. However, most of the existing work is on the theoretical basis and little is on the experiment. This paper presents our experimental studies on delayed feedback control conducted in recent years with the focus on the discussion of a DSP-based delayed experiment system. Some phenomena in our delay experiments are discussed and a few topics of interest for further research are brought forward.

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References

  1. Abdel-Rohman M.: Time-delay effects on active damped structures. J. Eng. Mech. ASCE 113(11), 1709–1719 (1987)

    Article  Google Scholar 

  2. Chung L.L., Reinhorn A.M., Soong T.T.: Experiments on active control of seismic structures. J. Eng. Mech. ASCE 114(2), 241–256 (1988)

    Article  Google Scholar 

  3. McGreery, S., Soong, T.T., Reinhorn, A.M.: An experiments study of time delay compensation in active structural control. In: Proceedings of the Sixth International Modal Analysis Conference, SEM 1733–1739 (1988)

  4. Cai G.P., Huang J.Z.: Optimal control method for seismically excited building structures with time delay in control. J. Eng. Mech. ASCE 128(6), 602–612 (2002)

    Article  Google Scholar 

  5. Cai G.P., Huang J.Z., Yang S.X.: An optimal control method for linear systems with time delay. J. Comput. Struct. 81(15), 1539–1546 (2003)

    Article  MathSciNet  Google Scholar 

  6. Liu B., Haraguchi M., Hu H.Y.: A new reduction-based LQ control for dynamic systems with a slowly time-varying delay. Acta. Mech. Sin. 25, 529–537 (2009)

    Article  MATH  Google Scholar 

  7. Haraguchi M., Hu H.Y.: Using a new discretization approach to design a delayed LQG controller. J. Sound Vib. 314, 558–570 (2008)

    Article  Google Scholar 

  8. Ge Z.M., Hsiao C.L., Chen Y.S.: Nonlinear dynamics and chaos control for a time delay duffing system. Int. J. Nonlinear Sci. Numer. Simul. 6(2), 187–199 (2005)

    Google Scholar 

  9. Xiao M., Cao J.D.: Bifurcation analysis and chaos control for Lu system with delayed feedback. Int. J. Bifurcat. Chaos 17(12), 4309–4322 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  10. Hosek M., Olgac N.: A single-step automatic tuning algorithm for the delayed resonator vibration absorber. IEEE ASME Trans. Mechatron. 7(2), 245–255 (2002)

    Article  Google Scholar 

  11. Cai G.P., Lim C.W.: Optimal tracking control of flexible hub-beam system with time delay. Multibody Syst. Dyn. 16(4), 331–350 (2006)

    Article  MATH  Google Scholar 

  12. Yuan, F.: Effects of delayed feedback control on stability in the cantilever pipe conveying fluid. Master thesis, Tongji University, Shanghai (2008) (in Chinese)

  13. Wang Z.H., Hu H.Y.: Stabilization of vibration systems via delayed state difference feedback. J. Sound Vib. 296(1–2), 117–129 (2006)

    Article  Google Scholar 

  14. Xu J., Chung K.W., Chan C.L.: An efficient method for studying weak resonant double Hopf bifurcation in nonlinear systems with delayed feedbacks. SIAM J. Appl. Dyn. Syst. 6(1), 29–60 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  15. Sun Z.Q.: Theory and Application of Computer Control. Tsinghua University Press, Beijing (1989) (in Chinese)

    Google Scholar 

  16. Chen, L.X.: Delayed feedback control and experiment study of structural vibration. Ph.D thesis, Shanghai Jiaotong University, Shanghai (2009) (in Chinese)

  17. Chen L.X., Cai G.P.: Experimental study of time-delay variable structure control for a flexible beam under forced vibration. Acta Mech. Sin. 41(3), 410–417 (in Chinese) (2009)

    Google Scholar 

  18. Chen L.X., Cai G.P., Pan J.: Experimental study of delayed feedback control for a flexible plate. J. Sound Vib. 322, 629–651 (2009)

    Article  Google Scholar 

  19. Cai G.P., Lim C.W.: Dynamic studies of a flexible hub-beam system with significant damping effect. J. Sound Vib. 318(1–2), 1–17 (2008)

    Article  Google Scholar 

  20. Cai G.P., Lim C.W.: Active control of a flexible hub-beam system using optimal tracking control method. Int. J. Mech. Sci. 48(10), 1150–1162 (2006)

    Article  MATH  Google Scholar 

  21. Cai G.P., Hong J.Z., Yang S.X.: Dynamic analysis of a flexible hub-beam system with tip mass. Mech. Res. Commun. 32(2), 173–190 (2005)

    Article  MATH  Google Scholar 

  22. Cai G.P., Hong J.Z., Yang S.X.: Model study and active control of a rotating flexible cantilever beam. Int. J. Mech. Sci. 46(6), 871–889 (2004)

    Article  MATH  Google Scholar 

  23. Chen L.X., Cai G.P.: Experimental study on active control of a rotating flexible beam with time delay. Acta Mech. Sin. 40(4), 520–527 (2008) (in Chinese)

    Google Scholar 

  24. Xie J.Y., Zhong Q.C.: Time delay control and its applications. Control Theory Appl. 19(4), 500–504 (2002) (in Chinese)

    MATH  Google Scholar 

Download references

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Correspondence to Guo-Ping Cai.

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The project was supported by the Science Foundation of China (11072146, 11002087, 10772112), the Key Scientific Project of Shanghai Municipal Education Commission (09ZZ17), the Specialized Research Fund for the Doctoral Program of Higher Education of China (20070248032) and the Research Project of State Key Laboratory of Ocean Engineering of China (GKZD010807).

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Cai, GP., Chen, LX. Delayed feedback control experiments on some flexible structures. Acta Mech Sin 26, 951–965 (2010). https://doi.org/10.1007/s10409-010-0388-6

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  • DOI: https://doi.org/10.1007/s10409-010-0388-6

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