Actuator and Sensor Placement for Multiobjective Control of Structures
Publication: Journal of Structural Engineering
Volume 125, Issue 7
Abstract
A simple algorithm for multiobjective linear quadratic Gaussian control that can be used for various structural control applications is presented. This algorithm synthesizes Pareto optimal trade-off curves, which are plots of one performance variable constraint versus another. These curves separate the regions of feasible and infeasible constraints and enable the control designer to minimize one regulated output, such as control force, a structural displacement, or an acceleration, while keeping others within specified constraints. Pareto optimal curves are compared with each other to determine preferred locations for actuators and/or sensors. To illustrate the proposed methodology, numerical examples of simple lumped-mass shear-beam building models subjected to stochastic wind and earthquake loads are considered. Control is presumably through one or more active tendons placed on various floors of the structure. The numerical results presented demonstrate the applicability and feasibility for developing optimal multiobjective controllers for civil structures.
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References
1.
Abdel-Rohman, M., and Leipholz, H. H. (1978). “Structural control by pole assignment.”J. Engrg. Mech., ASCE, 104(5), 1159–1175.
2.
Abdel-Rohman, M., Quintana, V. H., and Leipholz, H. H. (1980). “Optimal control of civil engineering structures.”J. Engrg. Mech., ASCE, 106(1), 57–73.
3.
Ankireddi, S., and Yang, H. (1996). “A simple ATMD control design for tall buildings due to wind loads.”J. Struct. Engrg., ASCE, 122(1), 83–91.
4.
Ankireddi, S., and Yang, H. (1997). “Multiple objective LQG control design of wind excited buildings.”J. Struct. Engrg., ASCE, 123(7), 943–951.
5.
Boyd, S. P., and Barratt, C. H. (1991). Linear controller design: limits of performance. Prentice-Hall, Englewood Cliffs, N.J.
6.
Chang, C., and Yang, T. Y. (1995). “Control of tall buildings using active tuned mass dampers.”J. Engrg. Mech., ASCE, 121(3), 355–366.
7.
Cheng, F. Y., and Pantelides, C. P. (1988). “Optimal placement of actuators for structural control.” Tech. Rep. No. NCEER-88-0037, Nat. Ctr. for Earthquake Engrg. Res., State University of New York, Buffalo, New York.
8.
Chung, L. L., Lin, C. C., Lu, K. H. (1995). “Time delay control of structures.” Earthquake Engrg. Struct. Dyn., 29(5), 687–701.
9.
Craig, R. R. (1981). Structural dynamics: An introduction to computer methods. Wiley, New York.
10.
Gossmann, E., and Waller, H. (1983). “Analysis of multi-correlated wind-excited vibrations of structures using the covariance method.” Engrg. Struct., 5(4), 264–272.
11.
Kareem, A. (1981). “Wind excited response of buildings in higher modes.”J. Struct. Div., ASCE, 107(4), 701–706.
12.
Kelly, J. M. (1990). “Base isolation: Linear theory and design.” Earthquake Spectra, 6(2), 223–244.
13.
Kerr, A. D., and El-Sibaie, M. A. (1987). “Validation of new equations for dynamic analyses of tall frame-type structures.” Earthquake Engrg. Struct. Dyn., 15(5), 549–563.
14.
Napolitano, M. R., Casdorph, V., Neppach, C., Naylor, S., Innocenti, M., and Silvestri, G. (1996). “Online learning neural architectures and cross-correlation analysis for actuator failure detection and identification.” Int. J. Control, 63(3), 433–455.
15.
Samali, B., Yang, J. N., and Yeh, C. T. (1985). “Control of lateral-torsion motion of wind excited buildings.”J. Engrg. Mech., ASCE, 111(6), 777–796.
16.
Schmitendorf, W. E., Jabbari, F., and Yang, J. N. (1994). “Robust control techniques for buildings under earthquake excitation.” Earthquake Engrg. Struct. Dyn., 23(5), 539–552.
17.
Suhardjo, J., Spencer, B. F., and Kareem, A. (1992a). “Active control of wind excited buildings: A frequency domain based design approach.” J. Wind Engrg. and Industrial Aerodyn., 43, 1985–1996.
18.
Suhardjo, J., Spencer, B. F., and Kareem, A. (1992b). “Frequency domain optimal control of wind-excited buildings.”J. Engrg. Mech., ASCE, 118(12), 2463–2481.
19.
Suhardjo, J., Spencer, B. F., and Sain, M. K. (1990). “Feedback feedforward control of structures under seismic excitation.” Struct. Safety, Amsterdam, 8(1–4), 69–89.
20.
Yang, J. N. (1982). “Control of tall buildings under earthquake excitation.”J. Engrg. Mech., ASCE, 108(5), 833–849.
21.
Yang, J. N., Akbarpour, A., and Ghaemmaghami, P. (1987). “New optimal control algorithms for structural control.”J. Engrg. Mech., ASCE, 113(9), 1369–1386.
22.
Yang, T. Y., Liaw, D. G., Hsu, D. S., and Fu, H. C. (1993). “Simple model for optimal control of tall buildings.”J. Struct. Engrg., ASCE, 119(3), 902–919.
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Received: Nov 10, 1997
Published online: Jul 1, 1999
Published in print: Jul 1999
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