Enviar artigo por via de e-mail FORMATION OF THE REGULATOR IN THE NATURAL BASIS OF A LINEAR SYSTEM
- Autores: Ashchepkov L.T1
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Afiliações:
- Far Eastern Federal University
- Edição: Volume 64, Nº 10 (2024)
- Páginas: 1890-1895
- Seção: Ordinary differential equations
- URL: https://journals.rcsi.science/0044-4669/article/view/277059
- DOI: https://doi.org/10.31857/S0044466924100094
- EDN: https://elibrary.ru/JZTWQF
- ID: 277059
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Resumo
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.
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Bibliografia
- Калман Р, Фалб П., Арбиб М. Очерки по математической теории систем. М.: Мир, 1971.
- Родина Л.И., Тонков Е.Л. Критерий полной управляемости линейной нестационарной системы в критическом случае // Изв. ИМИ УдГУ. 2002. № 2(25). С. 81–86.
- Ashchepkov L.T., Dolgy D.V. Taekuan Kim, Agarwal R.P. Optimal Control. Cham: Springer Nature, 2022.
- Ashchepkov L. T. Synthesis of an optimal system with stable sliding modes // Comput. Math. Math. Phys. 2023. V. 63. № 5. P. 743–750.
- Гантмахер Ф.Р. Теория матриц. М.: Наука, 1967.
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