Full bridge inverter is a kind of typical switched nonlinear system. There are many nonlinear and uncertain factors in the system, which easily lead to the performance of the system to be bad or make the system unstable. An event-triggered adaptive dynamic surface control scheme is proposed for the single-phase full-bridge inverter system with unmodeled dynamics and time-varying output constraint. The dynamic signal is utilized to handle unmodeled dynamics, and the auxiliary dynamic system is designed to compensate the control signal. The tracking error transformation is introduced to solve the problem of output constraint. The control input is constrained, and the Euclidean norm of the fuzzy system adjusting the parameter vector is used as the adaptive parameter, and the event triggered control is designed. These techniques effectively reduce the calculation of the controller and ensure the realizability of the actual system. The stability analysis and proof of the dynamic surface control method with input constraints are improved. The exact model of the inverter does not need to be known, and the actual control system has good stability and robustness. The analysis shows that all signals of the closed-loop system are semi-globally uniformly ultimately bounded, and the effectiveness of the proposed approach is verified through the simulation results.