The anisotropy-based estimation problem for time invariant systems: the left asymptotics
- Authors: Belov I.R.1, Kustov A.Y.1
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Affiliations:
- V.A. Trapeznikov Institute of Control Sciences of RAS
- Issue: No 103 (2023)
- Pages: 94-120
- Section: Control systems analysis and design
- URL: https://medbiosci.ru/1819-2440/article/view/363798
- DOI: https://doi.org/10.25728/ubs.2023.103.4
- ID: 363798
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Abstract
The anisotropy-based estimation problem for linear discrete time invariant system is considered in the paper. The asymptotic formulas for estimator matrices, estimation error covariance matrice and anisotropic norm of estimation error system under the condition of small values of mean anisotropy of input disturbance are demonstrated. Also the maximum edge of external disturbance anisotropy, providing the prescribed accuracy of anisotropy-based estimator approximation by Kalman filter, is determined in the article. The stated problems solution is demonstrated in the graphical results of numerical modelling for linear discrete time invariant stable system.
About the authors
Ivan Romanovich Belov
V.A. Trapeznikov Institute of Control Sciences of RAS
Email: ivanb1993@mail.ru
Moscow
Arkadiy Yur'evich Kustov
V.A. Trapeznikov Institute of Control Sciences of RAS
Email: arkadiykustov@yandex.ru
Moscow
References
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