Structural Engineering and Mechanics

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Suboptimal control strategy in structural control implementation

  • Xu, J.Y. (Department of Civil Engineering, Wuhan University of Technology) ;
  • Li, Q.S. (Department of Building and Construction, City University of Hong Kong) ;
  • Li, G.Q. (Department of Civil Engineering, Wuhan University of Technology, School of Engineering and Science, Swinburne University of Technology) ;
  • Wu, J.R. (Department of Building and Construction, City University of Hong Kong) ;
  • Tang, J. (Department of Building and Construction, City University of Hong Kong)
  • Received : 2002.12.16
  • Accepted : 2004.05.19
  • Published : 2005.01.10
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Abstract

The suboptimal control rule is introduced in structural control implementation as an alternative over the optimal control because the optimal control may require large amount of processing time when applied to complex structural control problems. It is well known that any time delay in structural control implementation will cause un-synchronized application of the control forces, which not only reduce the effectiveness of an active control system, but also cause instability of the control system. The effect of time delay on the displacement and acceleration responses of building structures is studied when the suboptimal control rule is adopted. Two examples are given to show the effectiveness of the suboptimal control rule. It is shown through the examples that the present method is easy in implementation and high in efficiency and it can significantly reduce the time delay in structural control implementation without significant loss of performance.

Keywords

References

  1. Abe, M. (1996), 'Semi-active tuned mass dampers for seismic protection of civil structures', Earthq. Eng. Struct. Dyn., 25, 743-749 https://doi.org/10.1002/(SICI)1096-9845(199607)25:7<743::AID-EQE579>3.0.CO;2-S
  2. Cai, G.P. and Huang, J.Z. (2002), 'Optimal control method for seismically excited building structures with time delay in control', J. Eng. Mech., 128(6), 602-612 https://doi.org/10.1061/(ASCE)0733-9399(2002)128:6(602)
  3. Cai, G.P., Huang, J.Z. and Yang, S.X. (2003), 'An optimal control method for linear systems with time delay', Comput. Struct., 81, 1539-1546 https://doi.org/10.1016/S0045-7949(03)00146-9
  4. Cai, G.P. and Sun, F. (2003), 'Sub-optimal control of structures', Earthq. Eng. Struct. Dyn., 32, 2127-2142 https://doi.org/10.1002/eqe.317
  5. Choi, S.S. and Sirisena, H.R. (1974), 'Computation of optimal output feedback gains for linear multi variable systems', IEEE Transactions on Automatic Control, 19(3), 257-258 https://doi.org/10.1109/TAC.1974.1100534
  6. Dupont, P., Kasturi, P. and Stokes, A. (1997), 'Semi-active control of reaction dampers', J Sound Vib., 202(2), 203-218 https://doi.org/10.1006/jsvi.1996.0798
  7. Fang, J.Q., Li, Q.S. and Jeary, A.P. (2003), 'Modified independent modal space control of MDOF systems', J. Sound Vib., 261, 421-441 https://doi.org/10.1016/S0022-460X(02)01085-4
  8. Han, Y.L., Li, Y.L., Li, Q.S., Leung, A.Y.T. and Lin, P.H. (2003), 'Structural vibration control by shape memory alloy damper', Earthq. Eng. Struct. Dyn., 32, 483-494 https://doi.org/10.1002/eqe.243
  9. Levine, W.S. and Athans, M. (1970), 'On the determination of the optimal constant output feedback gains for linear multivariable systems', IEEE Transactions on Automatic Control, 15(1),44-48 https://doi.org/10.1109/TAC.1970.1099363
  10. Li, Q.S. (2003), 'Reduced order control for wind-induced vibrations of tall buildings', The Structural Design of Tall Buildings, 12, 177-190 https://doi.org/10.1002/tal.220
  11. Li, Q.S., Cao, H., Li, G.Q., Li, S.J. and Liu, D.K. (1999), 'Optimal design of wind-induced vibration control of tall buildings and high rise structures', Wind and Structures. 2(1),69-83 https://doi.org/10.12989/was.1999.2.1.069
  12. Li, Q.S., Fang, J.Q., Jeary, A.P. and Liu, D.K. (2001a), 'Decoupling control law for structural control implementation', Int. J. Solids Struct., 38(34-35), 6147-6162 https://doi.org/10.1016/S0020-7683(00)00397-8
  13. Li, Q.S., Liu, DK, Zhang, N., Tam, C.M. and Yang, L.F. (2001b), 'Multi-level design model and genetic algorithm for structural control system optimization', Earthq. Eng. Struct. Dyn., 30, 927-942 https://doi.org/10.1002/eqe.48
  14. Li, Q.S., Liu, D.K., Leung, A.Y.T., Zhang, N. and Luo, Q.Z. (2002), 'A multilevel genetic algorithm for the optimal design of structural control systems', Int. J. Numer. Meth. Eng., 55, 817-834 https://doi.org/10.1002/nme.522
  15. Li, S.J., Li, G.Q., Tang, J. and Li, Q.S. (2002a), 'Shallow rectangular TLD for structural control implementation', Applied Acoustics, 63(10), 1125-1135 https://doi.org/10.1016/S0003-682X(02)00022-1
  16. Li, S.J, Li, G.Q., Tang, J. and Li, Q.S. (2002b), 'Shallow cylindrical TLD for vibration control of high-rise structures', The Structural Design of Tall Buildings, 11(4), 285-293 https://doi.org/10.1002/tal.201
  17. Naeim, F. (2001). The Seismic Design Handbook. 2nd edition, Kluwer Academic Publishers
  18. Polak, E., Meeker, G., Yamada, K. and Kurata, N. (1994), 'Evaluation of an active variable-damping structure', Earthq. Eng. Struct. Dyn., 23, 1259-1274 https://doi.org/10.1002/eqe.4290231107
  19. Ricciardelli, F. Occhiuzzi, A. and Clemente, P. (2000), 'Semi-active tuned mass damper control strategy for wind-excited structures', J. Wind Engineering and Industrial Aerodynamics, 88, 57-74 https://doi.org/10.1016/S0167-6105(00)00024-6
  20. Soong, T.T. (1990), Active Structural Control: Theory and Practice. John Wiley & Sons, New York
  21. Symans, M.D. and Constantinou, M.C. (1997), 'Experimental testing and analytical modeling of semi-active fluid dampers for seismic protection', J. of Intelligent Material Systems and Structures, 8, 644-657 https://doi.org/10.1177/1045389X9700800802
  22. Symans, M.D. and Constantinou, M.C. (1997), 'Seismic testing of a building structure with a semi-active fluid damper control system', Earthq. Eng. Struct. Dyn., 26, 759-777 https://doi.org/10.1002/(SICI)1096-9845(199707)26:7<759::AID-EQE675>3.0.CO;2-E
  23. Symans, M.D. and Constantinou, M.C. (1999), 'Semi-active control systems for seismic protection of structures: A state-of-the-art review', Eng. Struct., 21, 469-487 https://doi.org/10.1016/S0141-0296(97)00225-3
  24. Wang, K.W., Kim, Y.S. and Shea, D.B. (1994), 'Vibration control via electrorheological-fluid-based actuators with adaptive viscous and frictional damping', J. Sound Vib., 177(2), 227-237 https://doi.org/10.1006/jsvi.1994.1429
  25. Xu, J.Y., Tang, J. and Li, Q.S. (2002), 'An efficient method for the solution of Reccati equation in structural control implementation', Applied Acoustics, 63, 1215-1232 https://doi.org/10.1016/S0003-682X(02)00031-2
  26. Yang, J.N., Wu, J.C., Kawashima, K. and Unjoh, S. (1995), 'Hybrid control of seismic-excited bridge structures', Earthq. Eng. Struct. Dyn., 24,1437-1451 https://doi.org/10.1002/eqe.4290241103
  27. Yang, S.Z. and Wu, Y. (1992), Time Series Analysis in Engineering Application. Huazhong University of Science and Technology Press, Wuhan

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