Abstract

This paper research an optimal control system design method of the semi-active seismic isolated structure. The semi-active damper has two damping coefficients and be able to change these coefficients by the degree of the control force, but the semi-active damper works only when the velocity of the damper is in the opposite direction of the control force. By this limitation, the building response by the application of the semi-active control is different from the building response by the application of the active control. In this paper, the response which should be reduced is the time which the acceleration response of the building is more than 0.25 m/s2, and the purpose of this paper is to design the evaluation function which minimizes the difference of the semi-active control and the active control. To reach this purpose, the optimal control force is plotted on the velocity of damper-control force diagram, and the number of the plot of the optimal control force distributed on each quadrant is shown in histogram. The result is that the peak of the number of the plot of the optimal control force is large in case that the difference of the semi-active control and the active control is minimum.

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