The  control of the  object’s  motion with the existense of control  points

Khay Le; S. Zubova; E. Raetskaya

doi:10.12737/6325

THE CONTROL OF THE OBJECT’S MOTION WITH THE EXISTENSE OF CONTROL POINTS The control of the object’s motion with the existense of control points

АА Аа

Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 5, p. 1 · Pages 14–16 · Rubric: Sekciya: «Kachestvennaya teoriya dinamicheskih sistem»

DOI: https://doi.org/10.12737/6325

Received: 11.11.2014 Accepted: 11.11.2014 Published: 11.11.2014 Language of publication: RUS

Authors

Khay Le

S. Zubova

E. Raetskaya

Khay Le

S. Zubova

E. Raetskaya

ABSTRACT

The motion of a particle in a gravitational field are studied. The equation Meshcherskiy reduced to the control system. The problem of control in the presence of the control points is solved. The components of the state and control functions in the form of a polynomial are constructed. The method of undetermined coefficients is used.

KEYWORDS

dynamical system, the complete controllability, state function, the control, control points.

Text

УДК 517.93

THE CONTROL OF THE OBJECT’S MOTION WITH THE EXISTENSE OF CONTROL POINTS

УПРАВЛЕНИЕ ДВИЖЕНИЕМ ОБЪЕКТА ПРИ НАЛИЧИИ

КОНТРОЛЬНЫХ ТОЧЕК

Ле Хай Чунг,

Университет , г.Дананг, Вьетнам

trungybvnvr@yahoo.com

Зубова С.П.,

ФГБОУ ВПО «Воронежский государственный универсистет»,

г. Воронеж, Россия

spzubova@mail.ru

Раецкая Е.В.

ФГБОУ ВПО «Воронежская государственная лесотехническая академия»,

г. Воронеж, Россия

raetskaya@inbox.ru

DOI: 10.12737/6325

Summary: Themotion of a particlein a gravitational field are studied. The equation Meshcherskiyreduced tothe control system. The problem ofcontrolin the presence ofthe control points is solved. The components of the state and control functions in the formof a polynomial are constructed. The method of undetermined coefficients is used.

Aннотация: Рассматривается процесс движения материальной точки в поле силы тяжести. Уравнение Мещерского преобразуется к системе управления. Решается задача управления при наличии контрольных точек. Методом неопределенных коэффициентов строится состояние и управление в полиномиальном виде.

Keywords:dynamical system, the complete controllability, state function, the control, control points.

Ключевые слова: динамическая система, полная управляемость, функция состояния, управление, контрольные точки.

1. Krasovskii N.N. The theory of motion control. Science, p. 1968 - 476.

2. Elgert O.I. Control Systems Theory. Mc.Graw-Hill, New-York, 1967.

3. Zubova, S.P. On polinomial solutions of the linear stationary control system / S.P. Zubova, E.V. Raetskaya, L.H. Thung. "Automation and Remote Control". 2008. T. 69, № 11. P. 1852-1858.

4. Zubova, S.P. Polynomial solution of linear stationary control systems with the existence of control points and restrictions on the control / S.P. Zubova, L.H. Thung. “Spectral and evolution problems”. Simferopol. 2008. Vol. 18. P. 71 -75.

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This work is licensed under Creative Commons Attribution 4.0 International Creative Commons

GOST

Le K., Zubova S., Raetskaya E. The control of the object’s motion with the existense of control points // Actual directions of scientific researches of the XXI century: theory and practice. 2014. no. 5. pp. 14-16. DOI: https://doi.org/10.12737/6325. (Date of access 23.10.2026).

MLA

Khay Le, Zubova S., Raetskaya E.. "The control of the object’s motion with the existense of control points." Actual directions of scientific researches of the XXI century: theory and practice 2.5 (2014): 14-16. DOI: https://doi.org/10.12737/6325.

APA

Le K., Zubova S., Raetskaya E. (2014). The control of the object’s motion with the existense of control points. Actual directions of scientific researches of the XXI century: theory and practice, 2(5), 14-16. https://doi.org/10.12737/6325

Chicago

Khay Le, Zubova S., Raetskaya E.. "The control of the object’s motion with the existense of control points." Actual directions of scientific researches of the XXI century: theory and practice 2, no. 5 (2014): 14-16. https://doi.org/10.12737/6325.

WIKI

{{cite journal | author = Le K., Zubova S., Raetskaya E. | title = The control of the object’s motion with the existense of control points | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2014 | volume = 2 | issue = 5 | pages = 14-16 | doi = 10.12737/6325 }}

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