A method of vibration control for a flexible structure modeled by a cantilever beam subject to distributed random disturbance and seismic input at the clamped end is presented. The mathematical model of the flexible cantilever is described by the Euler-Bernoulli-type stochastic partial differential equation including internal damping and the seismic and distributed random forcing terms. The seismic disturbance can be observed with an accelerometer at the clamped end. The controller is obtained by using the stochastic optimal control theory. Simulation studies show that the proposed control method is effective in suppressing random vibration due to random disturbances.
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