Multimode vibration supression of smart structures based on model reference adaptive control

Aiming at the stability of smart structure vibration control, a model reference adaptive control (MRAC) algorithm based on Lyapunov´s second method is used to suppress vibration of a simple plate. The state equations of Piezoelectric plate first-order and second-order mode are put forward and two adjustable parameters are determined. MRAC combining feedforward and feedback control style needn´t be proved stability of closed loop control system. Simulation results show that the method have good effect whether transient disturbances excitation or persistent disturbances excitation.