The infinite-dimensional properties of complex wave equations is transformed from time-domain PDE model to frequency-domain ODE model using FFT method based on Simulink platform, and then a control system is created which is comparable to the centralized parameter in the frequency domain. It is demonstrated that the idea of using the FFT principle to simulate the wave equation of a PDE is correct by comparing the experimental results of FFT and mature FDM simulation; adaptive VOFFLC closed-loop control is applied to the frequency domain ODE model, and two control feedback rules are designed. When VOFFLC control with a multiplication rule is applied to one of them, the wave has the same form as the original one, but the period is shortened and the amplitude is lowered. When VOFFLC control with the subtraction rule is used, it can achieve results similar to boundary control; however, vector-level control in the spatial dimension can be achieved, i.e., vector-level control of any function shape, interpolation function, or scatter point in that dimension, which boundary control cannot do. As a result, the FFT-based VOFFLC control of wave equations has significant research implications as well as extensive practical utility.