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Instantaneous Optimal Control with Acceleration and Velocity Feedback.
Yang, J. N.; Li, Z.
National Center for Earthquake Engineering Research, Buffalo, NY.; National Science Foundation, Washington, DC., June 29, 1990, 56 p.
In the experimental demonstration of aseismic control systems, difficulties were encountered in the measurement of the displacement response of the structure. During earthquake ground motions, both the building and the ground are moving so that there is no absolute reference for the determination of the displacement response. An optimal control theory is proposed herein, which utilizes the measurements of acceleration and velocity responses rather than the displacement and velocity measurements. Such an optimal control law is developed based on the instantaneous optimal control theories, and it is evaluated and compared with other available optimal control laws. Numerical results indicate that the performance of the proposed optimal control law is as good as that of other optimal control laws currently available. However, the contribution of such an optimal control law to the practical implementation of active control systems for seismic hazard mitigations may be quite significant.
Dynamic response; Earthquake resistance; Dynamic structural analysis; Velocity measurement; Floors; Earthquake engineering; Earthquake resistant structures; Acceleration (Physics); Structural vibration; Stochastic processes; Feedback control; Numerical analysis; Vibration damping; Earth movements; Active control; Displacement; Mathematical models; Control equipment; Seismic waves