Performing seismic experiments, it is very important to excite test specimens precisely with the input seismic waves that are used in earthquake-proof design. However, the actual exciting seismic wave become different from the target wave due to the interaction between the shaking table dynamic characteristics and the test specimen vibrational characteristics. Though there have been several countermeasuring methods, they always require the preexcitation as off-line control. So, in this paper we developed the new control method by using quadratic stabilizer for non-linear test model as on-line control. This method is proved to be effective by numerical parameter studies.