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.
Similar content being viewed by others
References
Abdel-Rohman M.: Time-delay effects on active damped structures. J. Eng. Mech. ASCE 113(11), 1709–1719 (1987)
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)
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)
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)
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)
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)
Haraguchi M., Hu H.Y.: Using a new discretization approach to design a delayed LQG controller. J. Sound Vib. 314, 558–570 (2008)
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)
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)
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)
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)
Yuan, F.: Effects of delayed feedback control on stability in the cantilever pipe conveying fluid. Master thesis, Tongji University, Shanghai (2008) (in Chinese)
Wang Z.H., Hu H.Y.: Stabilization of vibration systems via delayed state difference feedback. J. Sound Vib. 296(1–2), 117–129 (2006)
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)
Sun Z.Q.: Theory and Application of Computer Control. Tsinghua University Press, Beijing (1989) (in Chinese)
Chen, L.X.: Delayed feedback control and experiment study of structural vibration. Ph.D thesis, Shanghai Jiaotong University, Shanghai (2009) (in Chinese)
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)
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)
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)
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)
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)
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)
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)
Xie J.Y., Zhong Q.C.: Time delay control and its applications. Control Theory Appl. 19(4), 500–504 (2002) (in Chinese)
Author information
Authors and Affiliations
Corresponding author
Additional information
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).
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10409-010-0388-6