FORMATION OF THE REGULATOR IN THE NATURAL BASIS OF A LINEAR SYSTEM
- Авторлар: Ashchepkov L.T1
-
Мекемелер:
- Far Eastern Federal University
- Шығарылым: Том 64, № 10 (2024)
- Беттер: 1890-1895
- Бөлім: Ordinary differential equations
- URL: https://vietnamjournal.ru/0044-4669/article/view/665177
- DOI: https://doi.org/10.31857/S0044466924100094
- EDN: https://elibrary.ru/JZTWQF
- ID: 665177
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
L. Ashchepkov
Far Eastern Federal University
Email: ashchepkov@yahoo.com
Vladivostok
Әдебиет тізімі
- 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.
- Курош А.Г. Курс высшей алгебры. М.: Наука, 1968.
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