Phase delay control of a cantilever beam

This paper addresses a phase delay control for controlling low-frequency vi brations of a lightly damped beam using a piezoelectric actuator and a piez oelectric sensor. This controller is designed to behave like the velocity f eedback controller at the frequencies of modes to be controlled. This contr oller is composed of a lowpass filter, a highpass filter, and all-pass filt ers. The lowpass and the highpass filters are supplemented for the robust s tability of uncontrolled modes. The highpass filter also suppresses the amp lification of the vibration around the frequency zero in the control system . The all-pass filters are designed to give desirable phase delay at the na tural frequencies. The phase delay control is applied to vibration suppress ion of a cantilever beam with a piezoelectric actuator and a piezoelectric sensor. Experimental results show that the phase delay control works well.