TECHNICAL NOTES
Jun 1, 1997

Static Output Polynomial Control for Linear Structures

Publication: Journal of Engineering Mechanics
Volume 123, Issue 6

Abstract

Optimal polynomial controllers have been proposed recently for applications to active/hybrid control of seismically excited structures. Such controllers have been demonstrated to be effective in limiting the peak dynamic response of structures. In this technical note, a static output feedback polynomial controller is proposed. The static output polynomial controller uses only the information measured from a limited number of sensors installed at strategic locations, without an observer, thus facilitating practical applications of active/hybrid control systems to civil engineering structures. Advantages of the proposed static output controller, in terms of the load-adaptive capability for limiting the peak response of the structure and required control energies, are demonstrated by simulation results.

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References

1.
Agrawal, A. K., and Yang, J. N. (1995). “Optimal polynomial control for linear and nonlinear structures.”Tech. Rep. NCEER-95-0019, Nat. Ctr. for Earthquake Engrg. Res., State Univ. of New York, Buffalo, N.Y.
2.
Agrawal, A. K., and Yang, J. N.(1996). “Optimal polynomial control for seismically excited linear structures.”J. Engrg. Mech., ASCE, 122(8), 753–761.
3.
Choi, S. S., and Sirisena, H. R. (1974). “Computation of optimal output feedback gains for linear multivariable systems.”IEEE Trans. Automatic Control, AC-19(3), 257–258.
4.
Horisberger, H. P., and Belanger, P. (1974). “Solution of the optimal constant output feedback problem by conjugate gradients.”IEEE Trans. Automatic Control, AC-19(4), 434–435.
5.
Housner, G. W., Soong, T. T., and Masri, S. F. (1994). “Second generation of active structural control in civil engineering.”Proc., 1st World Conf. on Struct. Control, Univ. of Southern California, Los Angeles, Calif.
6.
Levine, W. S., and Athans, M. (1970). “On the determination of the optimal constant output feedback gains for linear multivariable systems.”IEEE Trans. Automatic Control, AC-15(1), 44–48.
7.
Moerder, D., and Calise, A. (1985). “Convergence of a numerical algorithm for calculating optimal feedback gains.”IEEE Trans. Automatic Control, AC-30(9), 900–903.
8.
Syrmos, V. L., Abdallah, C., and Dorato, P. (1994). “Static output feedback: a survey.”Proc., 33rd Conf. on Decision and Control, Institute of Electrical and Electronics Engineers, Lake Buena Vista, Fla., 837–842.
9.
Toivonen, H. T.(1985). “A globally convergent algorithm for the optimal constant output feedback problem.”Int. J. Control, 41(6), 1589–1599.
10.
Tomasula, D. P., Spencer, B. F. Jr., and Sain, M. K.(1996). “Nonlinear control strategies for limiting dynamic response extremes.”J. Engrg. Mech., ASCE, 122(3), 218–229.
11.
Wu, Z., Lin, R. C., and Soong, T. T.(1995). “Nonlinear feedback control for improved peak response reduction.”Smart Mat. and Struct., 4(1), 140–148.
12.
Yang, J. N., Agrawal, A. K., and Chen, S. (1995). “Optimal nonlinear control of seismic-excited nonlinear structures.”Proc., 10th VPI&SU Symp. on Struct. Dyn. and Control, L. Meirovitch, ed., VPI&SU Publication, Virginia Polytechnic Inst. and State Univ., Blacksburg, Va., 1–12.
13.
Yang, J. N., Agrawal, A. K., and Chen, S.(1996). “Optimal polynomial control for seismically excited nonlinear and hysteretic structures.”J. Earthquake Engrg. and Struct. Dyn., 25(11), 1211–1230.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 123Issue 6June 1997
Pages: 639 - 643

History

Published online: Jun 1, 1997
Published in print: Jun 1997

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Authors

Affiliations

A. K. Agrawal
Grad. Res. Asst., Dept. of Civ. and Envir. Engrg., Univ. of California, Irvine, CA 92715.
J. N. Yang
Prof., Dept. of Civ. and Envir. Engrg., Univ. of California, Irvine, CA.

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