METHOD OF ESTIMATION OF PARAMETERS OF LINEAR REGRESSION MODEL WITH LINEARLY DEPENDENT ELEMENTS
Annotation
The problem of online estimation of parameters of linear regression models in the presence of linearly dependent elements in the regressor is considered. To solve the problem, a method is proposed that allows estimating the parameters corresponding to independent elements of the regressor. The method includes two stages. At the first stage, the original regression model with unknown vector parameters is transformed into a model with a new unknown vector method. Thus, the problem of measuring parameters leads to the problem of synthesizing an observer. At the second stage, an adaptive observer of the new vector of variables is synthesized, which allows simultaneously estimating the desired vector of parameters.
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