Adaptive inverse control (AIC) method is introduced to identify the impedance function of hydraulic shaking table online, which is also beneficial to improve the performance of power spectrum density (PSD) replication and reduce the equalization time. The AIC systematic identification technology in both time domain and frequency domain is deduced after the introduction of power spectrum density equalization’s principle. The inverse computation to obtain the system impedance function which is often applied in traditional methods is not employed in this technology. The control power spectrum density can be modified by the result of the system impedance function estimated by the proposed technology more efficiently than by traditional methods. A hardware platform with multiprocessors is introduced to accomplish proposed algorithm. The different real time tasks are assigned to different processors. The dual port RAM is applied to fulfill the data sharing among the processors. The result of experiment shows that the proposed algorithm is efficient in PSD replication process of the shaking table. Meanwhile, the result of AIC in frequency domain is more desirable than in time domain.