Calculation reduction method for Laguerre functions for identification in industrial controllers

This paper presents a calculation reduction method for Laguerre functions used in identification. The conventional calculation method uses repeated calculations for the summation and optimization. The matrix representation of the Laguerre function and its coefficients is proposed to solve this problem. In the proposed method, repeated calculations are not required because the Laguerre functions and coefficients are described using the product of the coefficient and variable matrices. Simulation results show that the proposed method is effective for calculating Laguerre functions and coefficients. © 2014 The Institute of Electrical Engineers of Japan.