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Variational method of adaptive dynamical system identification with creation of additional invariant

Keywords:

D.S. Andrashitov - Ph.D. (Eng.), Associate Professor, Moscow Vitte University (Moscow) E-mail: dima-andrahitov@rambler.ru A.A. Kostoglotov - Dr.Sc. (Eng.), Professor, Rostov State Transport University (Rostov-on-Don) E-mail: kostoglotov@icloud.com S.V. Lazarenko - Ph.D. (Eng.), Don State Technical University (Rostov-on-Don) E-mail: lazarenkosv@icloud.com I.V. Pugachev - Post-graduate Student, Don State Technical University (Rostov-on-Don) E-mail: bakut_8536@mail.ru


The task of the current determination of parameters of the adaptive dynamic systems from a condition of a minimum of a functionality of a discrepancy of observations is considered. The developed method of identification leads to receiving new structures of back couplings on state variables and parameters due to creation of invariants. They allow to formalize prior uncertainty of dynamics of parameters due to use of the additional properties which are shown on the true path according to a variation method which follows from been the basis for dynamics of the adaptive system and parameters of the principle of Hamilton-Ostrogradskii. Properties of variations allow to make decomposition of system of identification on subsystems of assessment of parameters and a status between which communication is defined by the equation for sensitivity function. Constructibility of the synthesized algorithms of identification is confirmed by results of the decision of the task of identification of parameters of the regulator of non-linear dynamic system. The equations of algorithms of identification differ from earlier known due to back couplings on state variables.
References:

 

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