Two semiactive control strategies are applied into the groundhook Dynamic Vibration Absorber (DVA). The performance comparison and parameters optimization of the two semiactive DVAs are completed. Firstly, the approximate analytical solutions of two semiactive groundhook DVAs are established by the averaging method. The comparisons between the analytical and numerical solutions are carried out, which verifies the correctness and satisfactory precision of the approximate analytical solutions. Secondly, the parameter optimization of semiactive displacementbased onoff groundhook control (onoff DBG) DVA is completed. The relative optimal parameters are found and the optimal strategy is determined. The effects of three key parameters on the primary system are analyzed. In the end, the comparisons with two other traditional DVAs under the random excitation show that the semiactive onoff DBG strategy is more effective.