1994 Volume 1994 Pages 29-36
In this paper, a method of the active boundary control is proposed for suppressing the vibration of mechanically flexible structures subject to random disturbance. The mathematical model is described by the Euler-Bernoulli type partial differential equation. Reduced-order models of the system are described by the Itô stochastic differential equations. For the system, we employ the cost functional having the input derivative constraints in order to obtain the controls which are well smoothed enough to generate by practical actuator. By introducing an augmented vector and a new process which drives the control by its integration, we obtain the optimal control as the feedback form of integrated state and its own integration.
