FORMATION OF THE REGULATOR IN THE NATURAL BASIS OF A LINEAR SYSTEM
- Authors: Ashchepkov L.T1
-
Affiliations:
- Far Eastern Federal University
- Issue: Vol 64, No 10 (2024)
- Pages: 1890-1895
- Section: Ordinary differential equations
- URL: https://ruspoj.com/0044-4669/article/view/665177
- DOI: https://doi.org/10.31857/S0044466924100094
- EDN: https://elibrary.ru/JZTWQF
- ID: 665177
Cite item
Abstract
A simple method for synthesizing control in the problem of transferring the trajectory of a linear non-stationary system from an initial state to an equilibrium state is proposed. The desired control is found analytically using the "natural"basis of the linear system. The connection of the degeneracy of the controllability matrix with the existence of invariants and linear relationships between phase variables is shown.
About the authors
L. T Ashchepkov
Far Eastern Federal University
Email: ashchepkov@yahoo.com
Vladivostok
References
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- Ashchepkov L.T., Dolgy D.V. Taekuan Kim, Agarwal R.P. Optimal Control. Cham: Springer Nature, 2022.
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