Optimal Control of the Seismic Responses of High-Rise Structure Using Instantaneous Optimal and Iterative Learning Control

Abstract:

By combining instantaneous optimal control (IOC) and iterative learning control (ILC) , a new hybrid control strategy called ILC_IOC was established. The new hybrid control strategy was derived from the error model of state-space equation and the instantaneous quadratic form of performance function. During the period of control, control forces ware first obtained from traditional instantaneous optimal control, and then, modified by the iterative learning control, during the process of modifying, the amplitudes of control forces were modified. The Benchmark II model was selected as the model for simulating, and the N-S component of the 1940 El wave was selected as the input load. Results of the numerical simulation indicate that, comparing with traditional instantaneous optimal control, the new hybrid control strategy shows to be more effective.

• Periodical: Advanced Materials Research (Volumes 616-618)
• Pages: 2200-2205
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.616-618.2200
• Online since: December 2012
• Authors: Shao Wei Tong, Huai Ping Tang
• Keywords: Instantaneous Optimal Control, Iterative Learning Control, Performance Function, Seismic Response

References

[1] Jann N.Yang, Abbas Akbarpour, Peiman Ghaemmaghami. Optimal Control Algorithms for Earthquake-Excited Buildings. Proceeding of 2nd International Symposium on Structural Control, (1985)

DOI: 10.1007/978-94-009-3525-9_47

[2] Jann N.Yang, Abbas Akbarpour, Peiman Ghaemmaghami. New Optimal Control Algorithms for Structural Control[J]. Journal of Engineering Mechanics, ASCE, 1988, 113(9):1369-1386

DOI: 10.1061/(asce)0733-9399(1987)113:9(1369)

[3] Jann N.Yang, Li, Z, Liu, S. C. Stable Controllers for Instantaneous Optimal Control[J]. Journal of Engineering Mechanics, ASCE, 1992, 113(9): 1612-1630

[4] O. Bahar, M.Mahzoon, M.R. Bann, Y.Kitagawa. Discrete Instantaneous Optimal Control Method [J]. Iranian Journal of Science & Technology, 2004, 28(B1):9-20

[5] Uchiyama M. Formulation of high-speed motion of a mechanical arm by trial [J]. Translation of the Society of Instrumentation and Control Engineers, l978, 14(6): 706-7l2.

[6] Arimoto S, Kawamura S, Miyazaki F. Bettering operation of robotics by learning [J]. Journal of Robotic System, 1984, 1(2): 123-140.

DOI: 10.1002/rob.4620010203

[7] Youqing Wang , Furong Gao , Francis J. Doyle III . Survey on iterative learning control, repetitive control, and run-to-run control[J]. Journal of Process Control, 2009, 19: 1589-1600.

DOI: 10.1016/j.jprocont.2009.09.006

[8] Smolders K, Volckaert M, Swevers J. Tracking control of nonlinear lumped mechanical continuous time systems: a model-based iterative learning approach [J]. Mechanical Systems and Signal Processing, 2008, 22(8): 1896-1916.

DOI: 10.1016/j.ymssp.2008.03.004

[9] Cueli J R, Bordons C. Iterative nonlinear model predictive control stability, robustness and applications [J]. Control Engineering Practice, 2008, 16(9):1023-1034.

DOI: 10.1016/j.conengprac.2007.11.003

[10] Lynch J P, Law K H. Energy market-based control of linear civil structures [J]. Earthquake Engineering and Structural Dynamics, 2002, 31(10): 1855-1877.

DOI: 10.1002/eqe.193