Active control of membrane structure vibration based on sliding mode control

This paper studies the active vibration control of membrane structure by piezoelectric actuator. Firstly, the nonlinear vibration equation is established for membrane structure and the vibration equation is supplemented on the basis of the system equation established by Liu Xiang et al., and then the multi-mode dynamic model is obtained by Galerkin decomposition for the four-degree-of-freedom modes. After that, the Sliding Mode Controller is designed to suppress the large initial displacement vibration of the membrane structure and the continuous external excitation of the membrane structure. The stability of the controller is proved by using the Lyaplov stability theory and the effectiveness of the controller is verified by numerical simulation. In addition, the control effect of synovial control is compared with that of negaive velocity feedback control, which proves that synovial control has better robustness.