A.A. Kostoglotov, S.V. Lazarenko, D.S. Andrashitov, I.V. Derjabkin

We consider a variational method for identifying parameters of mathematical models of dynamic systems using iterative regularization, which increases the speed and accuracy of parameter estimates due to the dual procedure. The proposed method is based on the assumption that one of the reserves to further improve the efficiency of algorithms for parameter identification of dynamical systems is the use in the synthesis of the natural properties of the object in the form of variational principles, as expressed in the application of the extended integral action of Hamilton - Ostrogradskii needle variations L.S. Pontryagin, as well as the basic tenets of the theory of regularization A.N. Tikhonov. The results of numerical simulation of the model parameters identification of dynamic systems of second order in the environment MathCad v.14.0 demonstrate the advantages of the developed method.