Article · Chemical Technology, Control and Management · November 23, 2020
Identification of transition matrix of controlled objects under parametric uncertainty condition
Abstract
The questions of formation and construction of algorithms for identification of elements of the transition matrix of controlled objects in conditions of parametric uncertainty are considered. To identify elements of the transition matrix, we suggest using a custom model based on the type of Kalman filtration equations. Algorithms for stable calculation of a pseudo-inverse matrix using matrix decomposition are analyzed. Regular algorithms for solving argumentative problems of minimization of the identification quality criterion are given. These algorithms allow us to regularize the problem of adaptive identification of the transition matrix of an object based on regular methods for minimizing functionals under conditions of parametric uncertainty of a dynamic control object.
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