Active Wave Control of a Flexible Beam. On the Optimal Feedback Control.
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This parer deals with the active vibration control of a flexible beam using the active sink method proposed in the previous papers. It is the purpose of this paper to present control laws of the active sink method with feedback control. First, by using a transfer matrix method, this paper describes the active sink system with displacement feedback. Then, two kinds of control laws are derived, one is to eliminate the reflection waves at the active sink point and the other to make the transmitted waves null. From a viewpoint of numerical analysis, the fundamental caracteristics of the active sink system are clarified. If the final goal of the vibration control is to make all the vibration modes inactive, the corresponding optimal control law is obtained by the active sink method. Therefore, by comparing the conventional control method such as velocity feedback with the active sink method, the causes of the incapability of the velocity feedback are clarified. Finally, the stability problem of the active sink system is discussed.