Active Boundary Control of a Flexible Plate Subject to Random Disturbance

Abstract

This paper presents a method of control for suppressing vibration of a flexible rectangular plate which is subject to the distributed random disturbance. We consider that the control force and torques are acting at the edge of the plate (controlled boundary). To obtain the control force and torques, it is prerequisite not for the boundary conditions but for the system dynamics to include these terms. In spite of this requirement, the control terms disappear in our system dynamics. By considering the damping force and torques acting at the controlled boundary, the behavior of the controlled boundary is described by the first-order differential equation. This leads us to express the control terms in the system equation. Employing the finite-dimensional approximation, the state estimator and the optimal controller are constructed. Furthermore the simulation studies are performed.