Email this article On a class of the first kind Volterra equations in a problem of identification of a linear nonstationary dynamic system
- Authors: Solodusha S.V.1
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Affiliations:
- Melentiev Energy Systems Institute of the Siberian Branch of the Russian Academy of Sciences
- Issue: Vol 28, No 144 (2023)
- Pages: 406-413
- Section: Original articles
- URL: https://journals.rcsi.science/2686-9667/article/view/296479
- DOI: https://doi.org/10.20310/2686-9667-2023-28-144-406-413
- ID: 296479
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Abstract
This paper proposes an approach to the identification of a nonstationary linear dynamic system. Its input-output mathematical model is presented as a Volterra equation of the first kind. The problem of nonparametric identification of Volterra kernels is solved on the basis of an active experiment using test piecewise linear signals (that have a rising front). The problem statement is based on the conditions for modeling the dynamics of technical devices in the energy and power industry. The choice of an admissible family of input signals is driven by the complexity of generating piecewise-constant type signals for real energy objects. The original problem is reduced to solving Volterra integral equations of the first kind with two variable integration limits. A formula for the inversion of the integral equations under study is constructed. Sufficient conditions are obtained for the solvability of the corresponding equations with respect to Volterra kernels in the class of continuous functions.
About the authors
Svetlana V. Solodusha
Melentiev Energy Systems Institute of the Siberian Branch of the Russian Academy of Sciences
Author for correspondence.
Email: solodusha@isem.irk.ru
ORCID iD: 0000-0001-6162-7542
Doctor of Engineering, Associate Professor, Head of Laboratory
Russian Federation, 130 Lermontov St., Irkutsk 664033, Russian FederationReferences
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