Active vibration suppression of a composite I-beam using fuzzy positive positioncontrol

Abstract

Positive position feedback (PPF) control is widely used in active vibration control offlexible structures. To ensure quick vibration suppression, a large PPF scalar gain is oftenapplied. However, PPF control with a large scalar gain causes initial overshoot, which isundesirable in many situations. In this paper, a fuzzy gain tuner is proposed to tune thegain in the positive position feedback control to reduce the initial overshoot while stillmaintaining quick vibration suppression. The fuzzy system is trained by a batch leastsquares algorithm based on desired input–output data so that the trained fuzzysystem can behave like the training data. A 3.35 m long composite I-beam withpiezoceramic patch sensors and actuators is used to demonstrate the fuzzy PPFcontrol. For comparison purposes, three types of control methods are used in theexperiment: a standard PPF control, a standard PPF control with traditionalfuzzy gain tuning, and a PPF control with batch least squares fuzzy gain tuning.Experimental results clearly demonstrate that PPF control with batch least squares fuzzygain tuning behaves much better than the other two control methods in terms ofsuccessfully reducing the initial overshoot and quickly suppressing vibration.