Robust vibration isolation control for a seismically excited building

摘要

This paper shows a design method of an active vibration isolation control for a seismic-excited building, which was formulated as a benchmark problem. The robust controller for the model reduced by the balanced realization method is obtained by the #mu#-synthesis approach. We employ the controlled values of the accelerations of the second floor and the roof and the relative velocity between these two floors, so that the actuator installed at the first floor isolates the vibration from the ground and the upper floors move just like a rigid body. By simulations it is verified that the controller designed for the reduced-order model can suppress not only the reduced-order modes vibration but also the vibration in the higher frequency range than that of the reduced-order model. Also it has the appropriate robust performance for the parameter variation of the seismically excited building.