Noncolocated structural vibration suppression using zero annihilation periodic control

The zero annihilation periodic (ZAP) controller is applied to the problem of vibration control of a noncolocated flexible structure. It is shown that even though the transfer function is nonminimum-phase, a plant inverse controller can be designed which elicits a deadbeat closed-loop response. The transfer function under investigation arises from a noncolocated actuator/sensor configuration used on the ASTREX flexible structure at USAF/Phillips Laboratory. Several simulation examples are given to demonstrate the ZAP control method. As expected from the theory, the closed-loop response is deadbeat, and the vibrations are damped instantaneously