Continuous-time model identification based on integral equation and its application in magnetostrictive actuator

A continuous-time model identification method based on integral equation is proposed for the model identification of linear single-input and single-output continuous-time systems from sampled data with high-frequency noise. The differential equation of linear single-input and single-output continuous-time system can be transformed into integral equation. By introducing an integral operation on the sampled data, the effect of the noise can be eliminated. A continuous-time model is estimated directly by using the conventional LS method. Numerical simulation demonstrates the effectiveness and the feasibility of the presented method. The method is successfully applied to the parameters´ identification of the continuous-time model of the magnetostrictive actuator.