Research on frequency-domain identification method of EIV-model based on the v-gap to obtain the L2 optimum
XIAO De-yun
GENG Li-hui
JI Guo-feng
ZHANG Yi-nong
NONG Shi-meng
YANG Fan
JU Hui
LIU Min-hua
Abstract：In this paper,a class of errors-in-variables(EIV)model identification problems is discussed based on the v-gap measure to obtain the L2 optimum,and it includes EIV model identification for single input and single output(SISO)open-loop and closed-loop systems as well as multiple input and multiple output(MIMO)systems.Basing the method on the v-gap measure involves considering the distance between the disturbed and approximation models as an optimization criterion and then obtaining the optimal solution to the model identification problem when the corresponding Nyquist winding condition is met.Obtaining the L2 optimum involves performing an orthogonal decomposition in the L2 space of the disturbed output and input frequency-domain experimental data such that the range space of the system model,described by the normalized right coprime factors,is orthogonal to that of the noise model,described by the system model's complementary factor.The associated approximation error(noise)can then be indirectly minimized in the L2 sense by optimizing the v-gap measure.The proposed method offers a new approach for EIV model identification and is applicable to both closed-loop and multivariable systems.It requires no assumptions about the characteristics of the bounded system input and output noises and can simultaneously estimate the system and associated noise models,making it broadly applicable in engineering practice.
Keywords：system identificationEIV modelv-gap measureL2 optimum criterionfrequency domain
Publication Date：2025-11-30
Online Publishing Date：2025-12-29(First online date of this platform, not the publication date of the document)
Pages：9( 2156-2164 )