Spatial resonant control of flexible structures - Application to a piezoelectric laminate beam

This paper introduces a class of resonant controllers that can be used to m inimize structural vibration using collocated piezoelectric actuator-sensor pairs. The proposed controller increases the damping of the structure so a s to minimize a chosen number of resonant responses. The controller can be tuned to a chosen number of modes. This results in controllers of minimal d imension. The controller structure is chosen such that closed-loop stabilit y is guaranteed. Moreover, the controller can be designed such that the spa tial H-2 norm of the system is minimized. This will guarantee average reduc tion of vibration throughout the entire structure. Experimental validation on a simply supported beam is presented showing the effectiveness of the pr oposed controller.