Theoretical and experimental study of efficient control of vibrations in a clamped square plate

In this paper, we sought to develop an efficient controller for vibration reduction in a fully clamped plate. We investigated two control methodologies (positive velocity feedback and H∞ control) and two types of actuators (an inertial actuator and a distributed strain actuator). These were used to develop four control architectures. Both theoretical and experimental studies were undertaken with varying results. The best theoretical results were obtained when H∞ control was used in conjunction with a distributed strain actuator. Experimentally, the H∞ controller using the distributed strain actuator outperformed the others.