Abstract
A semi-active strategy for model predictive control (MPC), in which magneto-rheological dampers are used as an actuator, is presented for use in reducing the nonlinear seismic response of high-rise buildings. A multi-step predictive model is developed to estimate the seismic performance of high-rise buildings, taking into account of the effects of nonlinearity, time-variability, model mismatching, and disturbances and uncertainty of controlled system parameters by the predicted error feedback in the multi-step predictive model. Based on the predictive model, a Kalman-Bucy observer suitable for semi-active strategy is proposed to estimate the state vector from the acceleration and semi-active control force feedback. The main advantage of the proposed strategy is its inherent stability, simplicity, on-line real-time operation, and the ability to handle nonlinearity, uncertainty, and time-variability properties of structures. Numerical simulation of the nonlinear seismic responses of a controlled 20-story benchmark building is carried out, and the simulation results are compared to those of other control systems. The results show that the developed semi-active strategy can efficiently reduce the nonlinear seismic response of high-rise buildings.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Chen Jing, Qu Wei-lian and Xiao Chun (2001), “The Application Study of Predictive Control in the Structural Vibration Control,” Journal of Wuhan University of Technology, 23(8):11–13. (in Chinese)
Ok Seung-Yong, Kim Dong-Seok and Park Kwan-Soon (2006), “Semi-active Fuzzy Control of Cable-Stayed Bridges Using Magneto-rheological Dampers,” Engineering Structures, 29(6):776–788.
Osamu Yoshida and Dyke SJ (2004), “Seismic Control of a Nonlinear Benchmark Building Using Smart Dampers,” Journal of Engineering Mechanics, 130(4):386–392.
Ohtori Y, Christenson RE, Spencer BF and Dyke SJ (2000), “Summary of Benchmark Control Problems for Seismically Excited Nonlinear Building,” Proceedings of the 2000 Engineering Mechanics Conference, Austin, Texas, May 21–24.
Ohtori Y, Christenson RE, Spencer BF and Dyke SJ (2002), “Benchmark Control Problems for Seismically Excited Nonlinear Building,” Journal of Engineering Mechanics: Special Issue on Structural Control Benchmark Problems, ASCE.
Spencer BF and Soong TT (1999), “New Applications and Development of Active, Semi-Active and Hybrid Control Techniques for Seismic and Non-Seismic Vibration in USA,” Proceedings of International Post-SmiRT Conference Seminar on Seismic Isolation, Passive Energy Dissipation and Active Control of Vibration of Structures, Cheju, Korea, August 23–25.
Wang Deshan, Chen Shuisheng and Lu Qifa (2005), “Fuzzy Semi-active Control for Civil Engineering Structure by Using Magnetorheological Dampers Subjected to Seismic Excitation,” Earthquake Engineering and Engineering Vibration, 25(4):149–154. (in Chinese)
Zhou Yun, Wu Zhiyuan and Liang Xingwen (2001), “Semi-active Control for Wind-induced Vibration of High-rise Structure Using MR Damper,” Earthquake Engineering and Engineering Vibration, 21(4):159–162. (in Chinese)
Author information
Authors and Affiliations
Corresponding author
Additional information
Sponsored by: Fujian Province Youth Foundation for Innovative Research Under Grant No. 2006F3008 and Fujian Province Educational Special Foundation Under Grant No. JA06027
Rights and permissions
About this article
Cite this article
Yan, G., Sun, B. & Lü, Y. Semi-active model predictive control for 3rd generation benchmark problem using smart dampers. Earthq. Engin. Engin. Vib. 6, 307–315 (2007). https://doi.org/10.1007/s11803-007-0645-2
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s11803-007-0645-2