For many physical systems like vehicles, acceleration can be easily measured for the respective states. However, the outputs are usually affected by stochastic noise disturbance. The mentioned systems are often sensitive to noise and structural uncertainties. Furthermore, it is very difficult to estimate the multiple integrals of the signal, acceleration to velocity and velocity to position. In this study, emphasis was on eliminating the drifting phenomenon caused by the noise disturbance. As a result, it is essential to find a reliable integrator to evaluate the multiple integrals of the signal. The goal of this experiment was to design a continuous low-drift integrator to estimate the integrals of a proposed signal. In addition, the chattering is capable of amplifying the instability of the system and for this reason, it should be avoided. In this study, a solution method was introduced for this problem which is inspired by the designing of experiments based on the Taguchi method and therefore optimizes the parameters which are effective for minimizing the errors. The results show a reliable response in comparison to previous studies.