In this study active vibration control analysis of a circular plate coupled with piezoelectric layers on both sides by using an accurate method is presented based on classical plate theory (CPT). In the relation of piezoelectric, electrical potential in the transverse direction earned by satisfaction of electric boundary conditions (open circuit) and Maxwell’s electricity equation. The proposed analytical method is validated with available data in the literature. Using numerical data provided, the effect of different piezoelectric patch thickness and host patch thickness on the plate natural frequencies are examined and discussed in detail. In this paper, Linear-Quadratic Regulator (LQR) and Fuzzy Logic Controller (FLC) are used to control the transverse deflection of a circular plate which is excited by plane sound pressure waves. These methods are used on the bases of the piezoelectric output as a sensor. Using the output of the sensor, the transverse control force is determined. By applying the transverse control force at the plate, the amplitude of the transverse deformation will be controlled and reduced.