In the study, the flexural rigidity of piezoelectric laminated plate is derived based on the shear deformation theory of order one. The dynamic equation of the composite plate in a finite element form is deduced by using Hamilton’s principle, and the vibration-mode superposition method is employed. In order to get large driving force and efficient sensor signals, actuators and sensors are placed at the locations where the strain is locally maximum on the plate surface. Subsequently, an Independent Modal Space Control (IMSC) technique based Linear Quadratic Regulator (LQR) control methodology is adopted for the vibration suppression of the plate. The numerical example verifies the efficiency of this modeling and the method of control.