Abstract
This paper deals with a method of active control for suppressing vibrations of a flexible cantilever beam which is subject to a distributed random disturbance and a seismic input at the clamped end. First, the mathematical model of the flexible structure is established by a stochastic partial differential equation which describes the Euler-Bernoulli type distributed parameter system with internal viscous damping and subject to the seismic and distributed random inputs. Secondly, the distributed parameter model is reduced to a finite-dimensional one by using the modal expansion, and the resulting model is split into the controlled part and the uncontrolled (residual) one. Regarding the observation spillover due to uncontrolled part as a colored observation noise, an estimator is presented, and then the optimal control system is constructed. Finally, simulation studies are presented by using a real earthquake accelerogram data.
