D.S. Andrashitov1, S.V. Lazarenko2

1 The Military Academy of Strategic Rocket Troops after Peter the Great (Balashikha, Russia)

2 Don Engineering Center of Don State Technical University (Rostov-on-Don, Russia)

1 dima-andrahitov@rambler.ru; 2 lazarenkosv@icloud.com

Problem statement. The identification problem is one of the main problems of system analysis and its applications. Continuous growth of complexity of mathematical dynamic models together with increasing requirements to the accuracy of their description makes it an integral part of the design process of modern optimal systems for various purposes. Change of their characteristics, for example, over time also leads to the necessity of parameter identification, and functioning under conditions of unknown external influences to structural identification. Such problems are characterized by special complexity, since they belong to the class of inverse problems with inaccurate initial data, which leads to incorrectness, and, as a consequence, to the well-known problems of ensuring unambiguity and stability. Its solution can be based on the method of structural-parametric identification based on variational principles.

Goal. Analyze the effectiveness of the method of structural-parametric identification on the example of micromechanical sensor of inertial navigation system.

Results. The study of the variation of the extended functional leads to the condition of the maximum of the generalized power function, from which the equations of state and parameter estimation, interconnected through the sensitivity function, follow with accuracy to the synthesizing function. A method of synthesizing function construction based on the use of integral bundles in the study of the switching surface is proposed. Practically realizable equations of the structural-parametric identification algorithm are obtained.

Practical significance. The presented results prove the constructiveness of the investigated method. The synthesized on its basis al- gorithm of structural-parametric identification with high accuracy and speed of convergence of estimates to the true values allows to significantly reduce the amount of computational costs in comparison with the Kalman filter.

The work was prepared within the framework of the scientific topic «Development of unmanned technologies based on complex step-by-step optimization with reduction of extreme problems and neuro-fuzzy modeling tools» (FZNE-2022-0006).

Andrashitov D.S., Lazarenko S.V. Analysis of the effectiveness of the method structural-parametric identification inertial navigation systems using variational principles. Radiotekhnika. 2025. V. 89. № 2. P. 94−101. DOI: https://doi.org/10.18127/j00338486-202502-13 (In Russian)

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