In order to realize the vibration control of the complex structure of carbon fiber, piezoelectric cantilever carbon fiber laminates were used as the research object in this experiment. Based on Kirchhoff's thin plate theory and Hamilton's principle, the vibration state space equation of piezoelectric cantilever carbon fiber laminates was constructed using piezoelectric constitutive equations, hypothetical mode method, generalized coordinate method and state-space variables. Stress and strain analysis were carried out on the cantilever laminated plate to determine the laying position of the piezoelectric ceramic fiber sheet. The PID control method, fuzzy control method and fuzzy PID control method were used to design the controller in MATLAB, and the vibration control of the cantilever laminated plate was numerically simulated. The results show that the three controllers can effectively suppress the vibration of the laminated plate, and the fuzzy PID controller has the best vibration suppression effect, which can provide a reference for the vibration control of carbon fiber complex structures.