Optimal Structure Control for Earthquake Resistance
Open AccessRecent years, in civil engineering area the high-rise building still is not able to tolerate severe earthquake with large magnitude, though some passive control schemes have been adopted in federal building code [NEHRP Recommended Seismic Provisions for New Buildings and Other Structures 2020]. As an alternative selection, active structure control has been studied from various aspects to improve its ability to resist large earthquake.This research developed the optimal control algorithms applicable to structural control for earthquake resistance. Lewis [2012] developed a rigorous and comprehensive procedure for the derivation of optimal control strategy based on the calculus of variation. This research is an application of Lewis’ formulation to the control of structure for earthquake resistance. We built a computer software which can be used to generate a dynamic model to simulate a planar structure and to construct the control law. This model also includes the tendon driven actuators, sensors, and true history of earthquake excitation. The control law has two parts: (I) the feedback control, also called optimal control, which only depends on the estimate state variables (Kalman filter), (II) the extra control term using the record of the true earthquake excitation. The optimal control problem eventually leads to a two-point boundary value problem whose solution hinges on the knowledge of the entire history of the earthquake excitation. We employ true records of earthquake excitation as input. This approach enables one to solve the Riccati equations rigorously. The relations between the control algorithm and the characteristics (amplitude and duration) of structure will be studied from the simulation results.
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