Closed Loop Predictive Optimal Control Algorithm Using ARMA Models
Publication: Journal of Engineering Mechanics
Volume 126, Issue 6
Abstract
A predictive optimal control algorithm based on auto-regressive moving average (ARMA) models has been developed. Being a closed loop algorithm, it can be used in the control of structures against any source of random excitation without any special arrangement for measuring the excitation. The algorithm combines two mathematical models: (1) An ARMA model representing the environment and the structure as a single system subjected to the unknown random excitation; and (2) a single-degree-of-freedom system, which represents the structure subjected to a known history of control force only. Unlike some ARMA based control algorithms, which are only for seismic excitations, the proposed algorithm permits the control system to be operational under any type of dynamic load. This results in a large reduction in the standby time of the control system and increases its reliability. In comparison with these algorithms, the proposed algorithm requires less measurements and sensors. The algorithm has the option for reducing or avoiding time delay.
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References
1.
Abdel-Rohman, M., and Leipholz, H. H. E. (1978). “Structural control by pole assignment method.”J. Engrg. Mech. Div., ASCE, 104(5), 1159–1175.
2.
Chang, M. K., Kwiatkowski, J. W., Nau, R. F., Oliver, R. M., and Pister, K. S. (1982). “ARMA models for earthquake ground motions.” Earthquake Engrg. and Struct. Dyn., 10(5), 651–662.
3.
Chung, L. L., Reinhorn, A. M., and Soong, T. T. (1988). “Experiments on active control of seismic structures.”J. Engrg. Mech., ASCE, 114(2), 241–256.
4.
Clough, R. W., and Penzien, J. (1993). Dynamics of structures. McGraw-Hill, New York.
5.
Conte, J. P., Pister, K. S., and Mahin, S. A. (1992). “Nonstationary ARMA modelling of seismic motions.” Soil Dyn. and Earthquake Engrg., 11(7), 411–426.
6.
Dargahi-Noubari, G. R. (1992). “Models for seismic records, why uniformly modulated ARMA?” Soil Dyn. and Earthquake Engrg., 11(7), 381–385.
7.
Ghanem, R., et al. (1997). “Adaptive control of nonlinear uncertain dynamical systems.”J. Engrg. Mech., ASCE, 123(11), 1161–1169.
8.
Ghanem, R., and Grigoriu, M. (1996). “Stochastic prediction and control of uncertain nonlinear dynamical systems.” Proc., 11th ASCE Speciality Conf. on Engrg. Mech., Y. K. Lin and T. C. Su, eds., ASCE, New York, 277–280.
9.
Hoshiya, M., and Saito, Y. (1995). “Prediction control of SDOF system.”J. Engrg. Mech., ASCE, 121(10), 1049–1055.
10.
Housner, G. W., et al. (1997). “Structural control: Past, present, and future.”J. Engrg. Mech., ASCE, 123(9), 897–971.
11.
Jazwinski, A. H. (1970). Stochastic processes and filtering theory. Academic, New York.
12.
Ljung, L. (1987). System identification-theory for the user. Prentice-Hall, Englewood Cliffs, N.J.
13.
Masri, S. F., Bekey, G. A., and Udwadia, F. E. ( 1980). “On-line pulse control of tall buildings.” Structural control, H. H. E. Leipholz, ed., North-Holland, Amsterdam, 471–491.
14.
Meirovitch, L. (1992). Dynamics and control of structures. Wiley, New York.
15.
Panariello, G. F., Betti, R., and Longman, R. W. (1997). “Optimal structural control via training on ensemble of earthquakes.”J. Engrg. Mech., ASCE, 123(11), 1170–1179.
16.
Rodellar, J., Barbat, A. H., and Martín-Sánchez, J. M. (1987). “Predictive control of structures.”J. Engrg. Mech., ASCE, 113(6), 797–812.
17.
Rodellar, J., Chung, L. L., Soong, T. T., and Reinhorn, A. M. (1989). “Experimental digital control of structures.”J. Engrg. Mech., ASCE, 115(6), 1245–1261.
18.
Soong, T. T. (1990). Active structural control: Theory and practice. Longman's, England.
19.
Yamada, K., and Kobori, T. (1995). “Control algorithm for estimating future responses of active variable stiffness structure.” Earthquake Engrg. and Struct. Dyn., 24(8), 1085–1099.
20.
Yang, J. N., Akbarpour, A., and Ghaemmaghami, P. (1987). “New optimal control algorithms for structural control.”J. Engrg. Mech., ASCE, 113(9), 1369–1386.
21.
Yao, J. T. P. (1972). “Concept of structural control.”J. Struct. Div., ASCE, 98(7), 1567–1574.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 126 • Issue 6 • June 2000
Pages: 620 - 625
History
Received: Feb 1, 1999
Published online: Jun 1, 2000
Published in print: Jun 2000
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