Experimental study on operator based robust two loop nonlinear free vibration control of a flexible plate

摘要

In this paper, the nonlinear free vibration control method of a flexible plate using the piezoelectric actuators is proposed. The hysteresis nonlinearity of the piezoelectric actuators is expressed using Prandtl-Ishlinskii (PI) model. To get maximum control effect of the actuators, the finite element method(FME) is used to decide their optimal attached positions. In order to control the vibration of the flexible plate by using piezoelectric actuators, nonlinear control design method based on an operator theory was proposed. Finally, the validity of the designed control system by the experimental results are shown.