Controller design for vibration of a smart CFRP composite beam based on the fuzzy model

Abstract

In the present study, vibration control is investigated for a smart carbon fibre reinforced plastics (CFRP) composite beam actuated by piezoceramics (PZT) and electro-rheological fluid (ERF) actuators. A fuzzy model of the controlled element containing two actuators is formed because the application of linear control theory to the vibration control is very different due to the intensive nonlinearity in the ERF actuator. The fuzzy model is identified based on the result of system identification test by using a hybrid neuro-fuzzy system. A controller for guaranteeing bounded input-bounded output (BIBO) stability of the vibration control system of the composite beam is designed by solving linear matrix inequalities (LMI) obtained based on Lyapunov's stability theory. The effect of vibration control system is verified by simulation and experiment.