Laguerre Identification Method Considering the Relative Order of the Estimated Model for Control Simulation

Abstract

Authors previously proposed a closed loop identification method based on Laguerre functions for an industrial controller with non-linear procedures. In this method, the controlled and manipulated variable are presented in the frequency domain using the orthonormality of the Laguerre functions. The estimated process model is described as their ratio. However, the estimated model has the relative order of 0, which is not suitable for simulation. This paper proposes a method to correct the estimated model to strictly proper model by partial fraction decomposition. The effectiveness of the proposed method is confirmed by PID control simulations for the corrected model and actual model.