Complete System and Signal Identification of MIMO Closed Loop Systems in the Frequency Domain

Abstract

For linear time invariant MIMO closed loop systems a derivation of the correlation method in the frequency domain is given first. It is shown that in contrast to the indirect method and to the direct method the correlation method permits as well the determination of the unknown frequency response matrices of the plant and the regulator as the determination of the unknown spectral density matrices of the noise signals influencing the loop. This is denoted by the term “complete system-and signal identification”. Then for the indirect method, the direct method and the joint process method the solutions for the frequency response matrices and the spectral density matrices which can be determined from the measured signals only are summarized. Finally the interactive identification package IMSCLF containing the four different identification methods is described in a short manner.