Structural Engineering and Mechanics

  • 제31권5호
  • /
  • Pages.621-624
  • /
  • 2009
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A stochastic optimal time-delay control for nonlinear structural systems

  • Ying, Z.G. (Department of Mechanics, Zhejiang University) ;
  • Zhu, W.Q. (Department of Mechanics, Zhejiang University)
  • 투고 : 2007.04.03
  • 심사 : 2008.08.11
  • 발행 : 2009.03.30
⟨ 이전 논문 다음 논문 ⟩

초록

The time delay in active and semi-active controls is an important research subject. Many researches on the time-delay control for deterministic systems have been made (Hu and Wang 2002, Yang et al. 1990, Abdel-Mooty and Roorda 1991, Pu 1998, Cai and Huang 2002), while the study on that for stochastic systems is very limited. The effects of the time delay on the control of nonlinear systems under Gaussian white noise excitations have been studied by Bilello et al. (2002). The controlled linear systems with deterministic and random time delay subjected to Gaussian white noise excitations have been treated by Grigoriu (1997). Recently, a stochastic averaging method for quasi-integrable Hamiltonian systems with time delay has been proposed (Liu and Zhu 2007). In the present paper, a stochastic optimal time-delay control method for stochastically excited nonlinear structural systems is proposed based on the stochastic averaging method for quasi Hamiltonian systems with time delay and the stochastic dynamical programming principle. An example of stochastically excited and controlled hysteretic column is given to illustrate the proposed control method.

키워드

과제정보

연구 과제 주관 기관 : Zhejiang Provincial Natural Science Foundation of China

참고문헌

  1. Abdel-Mooty, M. and Roorda, J. (1991), 'Time-delay compensation in active damping of structures', J. Eng, Mech., ASCE, 117, 2549-2570 https://doi.org/10.1061/(ASCE)0733-9399(1991)117:11(2549)
  2. Bilello, C., Di Paola, M. and Pirrotta, A. (2002), 'Time delay induced effects on control of non-linear systems under random excitation', Mechanica, 37, 207-220 https://doi.org/10.1023/A:1019659909466
  3. Cai, G. and Huang, J. (2002), 'Optimal control method with time delay in control', J. Sound Vib., 251, 383-394 https://doi.org/10.1006/jsvi.2001.3999
  4. Grigoriu, M. (1997), 'Control of time delay linear systems with Gaussian white noise', Probabilist. Eng. Mech., 12, 89-96 https://doi.org/10.1016/S0266-8920(96)00028-8
  5. Hu, H.Y. and Wang, Z.H. (2002), Dynamics of Controlled Mechanical Systems with Delay Feedback, Springer, Berlin
  6. Liu, Z.H. and Zhu, W.Q. (2007), 'Stochastic averaging of quasi-integrable Hamiltonian systems with delayed feedback control', J. Sound Vib., 299, 178-195 https://doi.org/10.1016/j.jsv.2006.07.007
  7. Pu, J.P. (1998), 'Time delay compensation in active control of structures', J. Eng. Mech., ASCE, 124, 1018-1028 https://doi.org/10.1061/(ASCE)0733-9399(1998)124:9(1018)
  8. Yang, J.N., Akbarpour, A. and Askar, G. (1990), 'Effect of time delay on control of seismic-excited buildings', J. Struct. Eng., ASCE, 116, 2801-2814 https://doi.org/10.1061/(ASCE)0733-9445(1990)116:10(2801)
  9. Ying, Z.G., Ni, Y.Q. and Ko, J.M. (2003a), 'Stochastic optimal control of coupled structures', Struct. Eng. Mech., 15, 669-683 https://doi.org/10.12989/sem.2003.15.6.669
  10. Ying, Z.G., Zhu, W.Q. and Soong, T.T. (2003b), 'A stochastic optimal semi-active control strategy for ER/MR dampers', J. Sound Vib., 259, 45-62 https://doi.org/10.1006/jsvi.2002.5136
  11. Zhu, W.Q., Ying, Z.G., Ni, Y.Q. and Ko, J.M. (2000), 'Optimal nonlinear stochastic control of hysteretic systems', J. Eng. Mech., ASCE, 126, 1027-1032 https://doi.org/10.1061/(ASCE)0733-9399(2000)126:10(1027)

피인용 문헌

  1. Stochastic optimal time-delay control of quasi-integrable Hamiltonian systems vol.16, pp.8, 2011, https://doi.org/10.1016/j.cnsns.2010.11.020