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Proceedings of the International Conference on
Advances and New Challenges in Earthquake
Engineering Research, Hong Kong Volume
DAMAGE CONTROL OF HYSTERETIC STRUCTURES BY USING
INSTANTANEOUS OPTIMAL CONTROL ALGORITHM WITH A
SPECIAL WEIGHING MATRIX
LI Hui 1 , PENG Jun-yi l , Suzuki Yoshiyuki 2 , GUO An-xin 1
School of Civil Engineering, Harbin Institute of Technology, Harbin
150090, China
2 Disaster Prevention Research Institute, Kyoto University, Kyoto, Japan
ABSTRACT
This paper studied the damage reduction of hysteretic structures by using the instantaneous optimal
control strategy with a special weighing matrix. The reduction performance of several control
algorithms is compared through numerical studies. In addition, several cases, which include all
responses could be observed, or only part of responses could be observed and other responses were
estimated by the Kalman filter and the extended Kalman filter (EKF), respectively, with the structural
hysteretic model prior-known are also studied and compared. The simulation results indicated that the
instantaneous optimal control strategy with the proposed weighing matrix established a further
reduction on the damage under the same control force to compare with that obtained by LQR and the
instantaneous optimal control strategy with conventional proposed weighing matrix. Simulation results
also showed that the semi-active control based on the instantaneous optimal control algorithm with the
proposed weighing matrix is more trackable than that based on conventional instantaneous optimal
control and LQR strategies. The estimated responses by Kalman filter based on the initial structural
parameters results in large discrepancy of the responses and control forces from that based on all state
observer or the extend Kalman filter, so the identification of structural hysteretic model parameters are
very important for the control implement.
KEY WORDS: structural control; instantaneous optimal control; semi-active control; hysteretic
structure; nonlinear system; seismic response
1. INTRODUCTION
Since the concept of structural control was first introduced into civil structures application, a wide
variety of active control strategies and hardware configurations have been developed to protect
structures against wind and seismic hazards (Housner et al, 1997). The linear quadratic regulator