A linear coupling controller for plate vibration

A means of designing linear coupling controllers (LCCs) for multi-degree of freedom systems is developed. An LCC is applied to a thin plate partially clamped on one edge and free on all other edges. The LCC developed here is compared to an LCC designed using the energy monitoring algorithm and to a quadratic non-linear controller. The comparison of the frequency responses for an uncontrolled plate and for the three different controlled cases shows that the design algorithm presented provides control over a wider frequency range