This paper deals with the active vibration control with twisting vibration. The control objects are flexible plates like solar array panels supported by a rigid-body rotor like a space station. Two flexible plates are connected with each other through the electromagnetic actuators fixed with the flexible arms. As a vibration control mechanism, the method using the interactive force between structures is applied for vibration control of these plate structures. Then, these structures are expressed by the lumped parameter system "4-DOF model" using the reduced order physical modeling method. To prevent so-called spillover, a second order low-pass filter is built in the control system. The LQ control method is used to obtain feedback gain. Computer simulations showed the effectiveness of presented control method.