Robust Active Optimal Control Scheme Including Soil‐Structure Interaction
Publication: Journal of Structural Engineering
Volume 119, Issue 9
Abstract
A robust active optimal‐control scheme is presented for the vibration control of a seismically excited structure. The conventional optimal‐regulator‐control scheme for civil engineering structures with fixed‐base assumption and without an observer is found to be quite ineffective for soft soils, where the effect of soil‐structure interaction is prominent. A new algorithm is developed including the effect of soil‐structure interaction in which soil is represented by the frequency‐independent springs and dampers. The effect of the variation of soil parameters on the control scheme is taken into account by the introduction of an observer. An acceleration‐type observer is used, which minimizes the difference of accelerations between the real structure and the mathematical model. The scheme is found to be robust for a considerable range of variation in the soil stiffness. The system involves an inherent instability due to the effect of observation spillover, which is corrected by prefiltering the sensor data. On the other hand, no control spillover is observed.
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References
1.
Alam, S., and Baba, S. (1991). “Active optimal control for earthquake excited structures using optimal observer.” 2nd Joint Japan/U.S. Conf. on Adaptive Struct., Technomic Publishing Co., Lancaster, Pa., 211–226.
2.
Baba, S., Ninomiya, K., and Hayashi, Y. (1989). “Active optimal control of structure using optimal observer.” J. Engrg. Mech., ASCE, 115(11), 2564–2581.
3.
Balas, M. J. (1978a). “Modal control of certain flexible dynamic systems.” SIAM J. Control an Optimatization, 16(3), 450–462.
4.
Balas, M. J. (1978b). “Feedback control of flexible system.” IEEE Trans. on Automatic Control, AC‐23(4), 673–679.
5.
Ghaffar‐Zadeh, M., and Chapel, F. (1983). “Frequency‐independent impedances of soil‐structure systems in horizontal and rocking modes.” Earthquake Engrg. and Struct. Dyn., 11, 523–540.
6.
Hurty, W. C., and Rubinstein, M. F. (1964). Dynamics of structure. Prentice‐Hall, Clifton, N.J., 313–337.
7.
Kashima, S., Yasuda, M., Kanazawa, K., and Kawaguchi, K. (1987). “Earthquake resistant design of Akashi Kaikyo bridge.” Proc. 3rd U.S.‐Japan Bridge Workshop, Ministry of Construction, Tokyo, Japan, 182–195.
8.
Miller, R. K., Masri, S. F., and Dehghanyar, T. J. (1988). “Active vibration control of large civil structures.” J. Engrg. Mech., ASCE, 114(9), 1542–1570.
9.
Mita, A., and Luco, J. E., (1989). “Impedance functions and input motions for embedded square foundations.” J. Geotech. Engrg., ASCE, 115(4), 491–503.
10.
Mita, T. (1984). Digital control theory. Shokodo, Tokyo, Japan (in Japanese).
11.
Mita, T., and Mukaida, M. (1982). “Parallel computation in digital feedback control system.” Trans. of the Society of Instrument and Control Engineering, Tokyo, Japan, 18(6), 556–563 (in Japanese).
12.
Ogata, K. (1987). Discrete‐time control systems. Prentice‐Hall, Inc., Englewood Cliffs, N.J., 625–881.
13.
Satou, T., Toki, K., and Matsushima, H. (1991). “Optimal control of structures taking into account the dynamic soil‐structure interaction.” Colloquium on Control of Structures, Tokyo, Japan, 257–263 (in Japanese).
14.
Takemiya, H., and Yamada, Y. (1981). “Layered soil‐pile‐structure dynamic interaction.” Earthquake Engrg. and Struct. Dyn., 9, 437–457.
15.
Veletsos, S., and Wei, Y. T. (1971). “Lateral and rocking vibration of footings.” J. Soil Mech. and Found. Div., ASCE, 97(9), 1227–1248.
16.
Wolf, J. P. (1985). Dynamic soil‐structure interaction, Prentice‐Hall, Inc., Englewood Cliffs, N.J.
17.
Wolf, J. P., and Somaini, D. R. (1986). “Approximate dynamic model of embedded foundation in time domain.” Earthquake Engrg. and Struct. Dyn., 14, 683–703.
18.
Wolf, J. P. (1988). Soil‐structure interaction analysis in time domain, Prentice‐Hall, Inc., Englewood Cliffs, N.J.
19.
Wong, H. L., and Luco, J. E. (1991). “Structural control including soil‐structure interaction effects.” J. Engrg. Mech., ASCE, 117(10), 2237–2250.
20.
Yang, J. N., Akbarpour, and Ghaemmaghami, P. (1987). “New optimal control algorithms for structural control.” J. Engrg. Mech., ASCE, 113(9), 1369–1387.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 119 • Issue 9 • September 1993
Pages: 2533 - 2551
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Aug 21, 1992
Published online: Sep 1, 1993
Published in print: Sep 1993
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