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The Effect of Response Feedback on Performance of Active Controlled Nonlinear Frames

Authors: M. Mohebbi, K. Shakeri


The effect of different combinations of response feedback on the performance of active control system on nonlinear frames has been studied in this paper. To this end different feedback combinations including displacement, velocity, acceleration and full response feedback have been utilized in controlling the response of an eight story bilinear hysteretic frame which has been subjected to a white noise excitation and controlled by eight actuators which could fully control the frame. For active control of nonlinear frame Newmark nonlinear instantaneous optimal control algorithm has been used which a diagonal matrix has been selected for weighting matrices in performance index. For optimal design of active control system while the objective has been to reduce the maximum drift to below the yielding level, Distributed Genetic Algorithm (DGA) has been used to determine the proper set of weighting matrices. The criteria to assess the effect of each combination of response feedback have been the minimum required control force to reduce the maximum drift to below the yielding drift. The results of numerical simulation show that the performance of active control system is dependent on the type of response feedback where the velocity feedback is more effective in designing optimal control system in comparison with displacement and acceleration feedback. Also using full feedback of response in controller design leads to minimum control force amongst other combinations. Also the distributed genetic algorithm shows acceptable convergence speed in solving the optimization problem of designing active control systems.

Keywords: Active Control, Distributed genetic algorithms, Response feedback, Weighting matrices

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[1] B.F. Spencer and Nagarajaiah S., "State of the art of structural control," ASCE, J. Struct. Eng., vol.129, no.7, pp.845-856, 2003.
[2] T. Kobori, N. Koshika, K. Yamada and Y. Ikeda, "Seismic-responsecontrolled structure with active mass driver system .part 1: Design" Earthquake Eng. Struct. Dynamics, vol. 20, pp.133-149, 1991.
[3] T. Kobori, N. Koshika, K. Yamada and Y. Ikeda, "Seismic-responsecontrolled structure with active mass driver system .part2: Verification,"Earthquake Eng. Struct. Dynamics, vol.20, pp.151-166, 1991.
[4] T. T. Soong, Active structural control: theory and practice. Longman Scientific & Technical, New York, 1990.
[5] C. C. Chang and H. T., Yang Y., "Instantaneous optimal control of building frames,"ASCE, J. Struct. Eng,, vol.120,no. 4, pp.1307- 1326,1994.
[6] J. N. Yang and Z. Li, "Instantaneous optimal control with acceleration and velocity feedback,"Technical Report NCEER-90-0016, 1990.
[7] O.Bahar, M. R Banan, M. Mahzoon and Y.Kitagawa, "Instantaneous optimal Wilson-╬© control method,"ASCE, J. Eng. Mech., vol.129, no.11, pp.1268-1276, 2003.
[8] A. Joghataie and M. Mohebbi, "Vibration controller design for confined masonry walls by distributed genetic algorithms,"ASCE, J. Struct. Eng., vol.134, no.2, pp. 300-309, 2008.
[9] J. N. Yang, Z. Li and S. C. Liu, "Stable controllers for Instantaneous optimal control," ASCE, J. Eng. Mech., vol.118, no.8, pp.1612-1630, 1992.
[10] A. Joghataie and M. Mohebbi, "Optimal control of nonlinear frames by Newmark and distributed genetic algorithms,"Struct. Design Tall Spec. Build., published on line, 2009.
[11] K. J. Bathe Finite element procedures. Prentice-Hall, Inc., New Gersey, 1996.
[12] D. E. Goldberg, Genetic algorithms in search, optimization and machine Learning. Addison -Wesley Publishing Co., Inc. Reading, Mass, 1989.
[13] H. M├╝hlenbein, M.Schomisch and J. Born, "Parallel genetic algorithms as a function optimizer," Parallel Computing, no.17, pp.619-632, 1991.
[14] T. Starkweather, D. Whitley and K. Mathias, "Optimization using distributed genetic algorithms," Springer - Verlag Lecture Notes in Computer Science, no.496, pp.176-185, 1990.
[15] J. N. Yang, F. X Long and D. Wong. , "Optimal control of nonlinear structures," Applied Mech., vol. 55, pp. 931-938, 1988.