Abstract: The gradient solution based on adjoint method is independent of the number of design variables, which is suitable for multiple parameters, high-dimensional optimizations. An adjoint-based preliminary active control of flow-induced noise is carried out on an unsteady compressible cavity flow. In order to realize the long-time flow control, we introduce the predictive control technology in order to improve the stability of the adjoint process, which successfully achieves the long-time active control of flow-induced noise. Present paper is devoted to studying two-dimensional compressible cavity flow, the length/depth ratio is 2 and the depth-based Reynolds number is 3000. The shear layer above the cavity undergoes rapid growth due to Kelvin-Helmholtz instability, the rolled-up vortices will impinge on the rear edge of the cavity and produce intensive noise radiation. Before applying noise control, the sensitivity analysis is firstly performed for the whole flow field to the excitation near the rear edge, the results indicate that the pressure oscillations near the rear edge are sensitive to the flow in the boundary layer region close to the leading edge, which is suitable for applying control excitations. Therefore, the two-dimensional spatiotemporal forcing based on the adjoint method in the shear layer region close to the leading edge is employed, which decreases the noise radiation successfully. The results show that the active control changes the distribution of near-field pressure oscillations in the region of noise sources, and the noise radiation is suppressed at all directions with a maximum reduction of overall sound pressure levels about 2 dB.