Two algorithms for active vibration control of a flexible cantilever beam

The active vibration suppression with piezoceramic actuators has been paid more and more attention to for the flexible structures, but there are still some key problems to be solved to ensure the effectiveness and feasibility of the active vibration control. This paper presented the experiment results of the control results with the state feedback pole assignment and the positive position feedback respectively. Firstly, the control system of a flexible aluminum cantilever beam with bonded piezoelectric actuators was modeled in theory and with experiment validation. The resonance frequency and the damping ratio of the first-order mode of the beam were calculated by a coarse identification and a fine identification. Then, the two control algorithms, the state feedback pole assignment and the positive position feedback, were implemented to control the first-order mode of the beam vibration actively. The control performances of the algorithms were compared. The experiment results show that the positive position feedback is better both in the control speed and in the attenuated amplitude than the state feedback pole assignment.