TECHNICAL PAPERS
Jan 1, 1994

Frequency Domain Optimal Control Strategies for Aseismic Protection

Publication: Journal of Engineering Mechanics
Volume 120, Issue 1

Abstract

This paper discusses frequency domain optimal control strategies for active control of civil engineering structures under seismic loading. The basic problem formulation is presented, and a description of two specific techniques, the H2 and H control methods, are given. Numerical examples showing H2 control of a seismically excited eight‐story building are given to illustrate the application and delineate the advantages of the frequency domain approaches. The main thrusts of the examples are to show that frequency‐domain design methods can be effectively used to: (1) Optimally control a structure using output feedback of acceleration measurements; and (2) selectively shape the output structural response in a desirable manner. In contrast to previously reported time‐domain‐based controllers, the numerical studies show that these control techniques are capable of reducing the building's response in both the first and second mode response using an active mass damper. The frequency domain optimal control design methods are shown to be flexible and to offer a good match between control concepts and engineering practice.

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References

1.
Abdel‐Rohman, M. (1980). “The feasibility of active control of tall buildings.” Structural Control, H. H. Leipholz, ed., Martinus Nijhoff, Amsterdam, Netherlands, 1–16.
2.
Abdel‐Rohman, M., and Leipholz, H. H. (1980). “Design of reduced‐order observers for structural control systems.” Structural control, H. H. Leipholz, ed., Martinus Nijhoff, Amsterdam, Netherlands, 57–77.
3.
Anderson, B. D. O. (1967). “An algebraic solution to the spectral factorization problem.” IEEE Trans. on Automatic Control, 12, 410–414.
4.
Baba, S., Ninoniya, K., and Hayashi, Y. (1989). “Active optimal control of structure using optimal observer.” J. Engrg. Mech., ASCE, 115(11), 2564–2581.
5.
Boyd, S. P., and Barratt, C. H. (1991). Linear controller design—limits of performance, Prentice‐Hall, Englewood Cliffs, N.J.
6.
Chiang, R. Y., and Safonov, M. G. (1988). Robust‐control toolbox, The MathWorks, South Natick, Mass.
7.
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.
8.
Doyle, J. C., Glover, K., Khargonekar, P., and Francis, B. (1989). “State‐space solutions to standard H2 and H control problems.” IEEE Trans. on Automatic Control, 34, 831–847.
9.
Francis, B. A. (1987). A course in H control theory, lecture notes in control and information sciences, Springer‐Verlag, Berlin, Germany.
10.
Housner, G. W., and Masri, S. F., eds. (1990). Proc. U.S. Nat. Workshop on Struct. Control Res., USC Publications No. M9013, University of Southern California, Los Angeles, Calif., Oct. 25–26.
11.
Kaynia, A. M., Veneziano, D., and Biggs, J. M. (1981). “Seismic effectiveness of tuned mass dampers.” J. Struct. Div., ASCE, 107(8), 1465–1484.
12.
MATLAB. (1992). The MathWorks, South Natick, Mass.
13.
Reinhorn, A. M., Manolis, G. D., and Wen, C. Y. (1987). “Active control of inelastic structures.” J. Engrg. Mech., ASCE, 113(3), 315–333.
14.
Reinhorn, A. M., Soong, T. T., Lin, R. C., Wang, Y. P., Fukao, Y., Abe, H., and Nakai, M. (1989). “1:4 scale model studies of active tendon systems and active mass dampers for aseismic protection.” Tech. Report NCEER‐89‐0026, Nat. Ctr. for Earthquake Engrg. Res., State Univ. of New York, Buffalo, N.Y.
15.
Sain, P. M., Spencer, Jr., B. F., Sain, M. K., and Suhardjo, J. (1992). “Structural control design in the presence of time delay.” Proc. 9th Engrg. Mech. Conf., College Station, Tex., May 25–27, 812–815.
16.
Soong, T. T. (1990). Active structural control: theory and practice, Longman Scientific and Technical, Essex, England.
17.
Spencer, Jr., B. F., Suhardjo, J., and Sain, M. K. (1991). “Frequency domain control algorithms for civil engineering applications.” Proc. Int. Workshop on Tech. for Hong Kong's Infrastructure Development, Hong Kong, 169–178.
18.
Stengel, R. F. (1986). Stochastic optimal control. Wiley‐Interscience, New York, N.Y.
19.
Suhardjo, J. (1990). “Frequency domain techniques for control of civil engineering structures with some robustness considerations.” PhD thesis, University of Notre Dame, Notre Dame, Ind.
20.
Suhardjo, J., Spencer, Jr., B. F., and Sain, M. K. (1990). “Feedback‐feedforward control of structures under seismic excitation.” Struct. Saf., 8, 69–89.
21.
Suhardjo, J., Spencer, Jr., B. F., Sain, M. K., and Tomasula, D. (1992a). “Nonlinear control of tension leg platforms.” Proc. Int. Congress on Innovative Long Span Structures, Toronto, Canada, Volume 1, 464–474.
22.
Suhardjo, J., Spencer, Jr., B. F., and Kareem, A. (1992b). “Active control of wind excited buildings: a frequency domain based design approach.” J. Wind Eng. Ind. Aerodyn., 41–44, 294–304.
23.
Suhardjo, J., Spencer, Jr., B. F., and Kareem, A. (1992c). “Frequency domain optimal control of wind excited buildings.” J. Engrg. Mech., ASCE, 118(12), 2463–2481.
24.
Willems, J. C. (1971). “Least‐squares stationary optimal control and the algebraic equation.” IEEE Trans. Autom. Control, 16, 621–634.
25.
Yang, J. N. (1982). “Control of tall buildings under earthquake excitation.” J. Engrg. Mech. Div., ASCE, 108(5), 833–849.
26.
Yang, J. N., and Giannopoulos, F. (1979). “Active control and stability of cable‐stayed bridge.” J. Engrg. Mech. Div., ASCE, 105(4), 677–694.
27.
Yao, J. T. P. (1972). “Concept of structural control.” J. Struct. Div., ASCE, 98(7), 1567–1574.

Information & Authors

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 120Issue 1January 1994
Pages: 135 - 158

History

Received: Sep 8, 1992
Published online: Jan 1, 1994
Published in print: Jan 1994

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Authors

Affiliations

B. F. Spencer, Jr., Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg. and Geological Sci., Univ. of Notre Dame, Notre Dame, IN 46556
J. Suhardjo
Post‐Doctoral Fellow, Dept. of Civ. Engrg. and Geological Sci., Univ. of Notre Dame, Notre Dame, IN
M. K. Sain
Freimann Prof., Dept. of Electrical Engrg., Univ. of Notre Dame, Notre Dame, IN

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