Frequency Domain Optimal Control of Wind‐Excited Buildings
Publication: Journal of Engineering Mechanics
Volume 118, Issue 12
Abstract
An optimal frequency‐domain approach to active control of wind‐excited buildings is proposed in which the norm of the transfer function from the external disturbance to the regulated output is minimized. A wind‐excitation model established by factorizing the cross‐spectral density matrix of the wind fluctuation is included in the control design. The control of a 60‐story building under an along‐wind excitation by one mass damper, two mass dampers, and active tendon mechanisms is presented in the numerical examples. As an improvement over previous results in civil‐engineering structural control studies, measurement and minimization of building accelerations is achieved. The effects of using constant and frequency‐dependent weighting functions in the control design are also shown. In this case, the frequency‐dependent weighting functions are designed based on the frequency domain response characteristics of the building. The frequency‐domain‐based‐design approach is shown to be both flexible and powerful.
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References
1.
Abdel‐Rohman, M., and Leipholz, H. H. (1981). “Stochastic control of structures.” J. Struct. Div., ASCE, 107(7), 1313–1325.
2.
Abdel‐Rohman, M. (1984). “Active control of tall buildings against stochastic wind forces.” J. Wind Engrg. Ind. Aerodyn., 17, 251–264.
3.
Abdel‐Rohman, M. (1987). “Feasibility of active control of tall buildings against wind.” J. Struct. Engrg., ASCE, 113(2), 349–362.
4.
Boyd, S. P., and Barratt, C. H. (1991). Linear controller design—Limits of performance. Prentice‐Hall, Englewood Cliffs, N.J.
5.
Chiang, R. Y., and Safonov, M. G. (1988). Robust‐control toolbox. The Math Works, South Natick, Mass.
6.
Davis, M. C. (1963). “Factoring the spectral matrix.” IEEE Transactions on Automatic Control, 8(4), 296–305.
7.
Doyle, J. C., Glover, K., Khargonekar, P. P., and Francis, B. A. (1989). “State‐space solutions to standard and control problems.” IEEE Transactions on Automatic Control, 34(8), 831–847.
8.
Glover, K., and Doyle, J. (1988). “State space formulae for all stabilizing controllers that satisfy an norm bound and relations to risk sensitivity.” Systems and Control Lectures, 11, 167–172.
9.
Goßmann, E., and Waller, H. (1983). “Analysis of multi‐correlated wind‐excited vibrations of structures using the covariance method.” Engrg. Struct., 5, 264–272.
10.
Housner, G. W., and Masri, S. F. (eds.). (1990). Proc., U.S. Nat. Workshop on Struct. Control Res., Univ. of Southern California, 25–26.
11.
Kailath, T. (1980). Linear systems. Prentice‐Hall, Englewood Cliffs, N.J.
12.
Kareem, A. (1981). “Wind‐excited response of buildings in higher modes.” J. Struct. Div., ASCE, 107(4), 701–706.
13.
Kareem, A. (1983). “Mitigation of wind‐induced motion of tall buildings.” J. Wind Engrg. Ind. Aerodyn., 11, 273–284.
14.
Kareem, A. (1987). “Wind effects on structures: a probabilistic viewpoint.” Probabilistic Engrg. Mech., 2(4), 166–200.
15.
Kareem, A. (1990). “Reduction of wind‐induced motion utilizing a tuned sloshing damper.” J. Wind Engrg. Ind. Aerodyn., 36, 725–737.
16.
Kelly, J. M., Leitmann, G., and Soldatos, A. G. (1987). “Robust control of base‐isolated structures under earthquake excitation.” J. Optim. Theory Appl., 53(2), 159–180.
17.
Li, Y., and Kareem, A. (1990). “Recursive modeling of dynamic systems.” J. Engrg. Mech., ASCE, 116(3), 660–679.
18.
Li, Y., and Kareem, A. (1991). “Simulation of multivariate nonstationary random processes by FFT.” J. Engrg. Mech., ASCE, 117(5), 1037–1058.
19.
Miller, R. K., Masri, S. F., Dehghanyar, T. J., and Caughey, T. (1988). “Active vibration control of large civil structures.” J. Engrg. Mech., ASCE, 114(9), 1542–1570.
20.
Moore, B. C. (1981). “Principal component analysis in linear systems: Controllability, observability, and model reduction.” IEEE Trans. on Automatic Control, 26(1), 17–31.
21.
Sain, P. M., Spencer, B. F. Jr., Sain, M. K., and Suhardjo, J. (1992). “Structural control design in the presence of time delay.” Proc. of the 9th Engrg. Mech. Conf., ASCE, College Station, Texas, May 25–27, 812–815.
22.
Simiu, E., and Scanlan, R. W. (1985). Wind Effects on Structures. John Wiley, New York, N.Y.
23.
Soong, T. T. (1990). Active structural control: Theory and practice. Longman, London & Wiley, New York, N.Y.
24.
Spencer, B. F. Jr., Suhardjo, J., and Sain, M. K. (1991). “Frequency domain control algorithms for civil engineering applications,” Proc. of the Int. Workshop on Tech. for Hong Kong's Infrastructure Development, Hong Kong, December 19–20, 169–178.
25.
Suhardjo, J. (1990). “Frequency domain techniques for control of civ. engrg. struct. with some robustness considerations,” PhD dissertation, Univ. of Notre Dame, Notre Dame, Ind.
26.
Suhardjo, J., Spencer, B. F. Jr., and Sain, M. K. (1990). “Feedback‐feedforward control of structures under seismic excitation.” Struct. Saf., 8, 69–89.
27.
Yang, J. N., and Samali, B. (1983). “Control of tall buildings in along‐wind motion.” J. Struct. Engrg., ASCE, 109(1), 50–68.
28.
Yang, J. N., and Yao, J. T. P. (1974). “Formulation of structural control.” Technical Report CE‐STR‐74‐2, School of Civ. Engrg., Purdue Univ., West Lafayette, Ind.
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Copyright © 1992 ASCE.
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Published online: Dec 1, 1992
Published in print: Dec 1992
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