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On Modification of the Positional Optimization Method for a Class of Nonlinear Systems. / Попков, Александр Сергеевич; Смирнов, Николай Васильевич; Смирнова, Татьяна Евгеньевна.

Proceedings of the 3rd International Conference on Applications in Information Technology, ICAIT 2018. ред. / Klyuev Vitaly; Pyshkin Evgeny; Natalia Bogach. Association for Computing Machinery, 2018. стр. 46-51 (ACM International Conference Proceeding Series).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Попков, АС, Смирнов, НВ & Смирнова, ТЕ 2018, On Modification of the Positional Optimization Method for a Class of Nonlinear Systems. в K Vitaly, P Evgeny & N Bogach (ред.), Proceedings of the 3rd International Conference on Applications in Information Technology, ICAIT 2018. ACM International Conference Proceeding Series, Association for Computing Machinery, стр. 46-51 , 3rd International Conference on Applications in Information Technology, ICAIT 2018, Aizu-Wakamatsu, Япония, 1/11/18. https://doi.org/10.1145/3274856.3274866

APA

Попков, А. С., Смирнов, Н. В., & Смирнова, Т. Е. (2018). On Modification of the Positional Optimization Method for a Class of Nonlinear Systems. в K. Vitaly, P. Evgeny, & N. Bogach (Ред.), Proceedings of the 3rd International Conference on Applications in Information Technology, ICAIT 2018 (стр. 46-51 ). (ACM International Conference Proceeding Series). Association for Computing Machinery. https://doi.org/10.1145/3274856.3274866

Vancouver

Попков АС, Смирнов НВ, Смирнова ТЕ. On Modification of the Positional Optimization Method for a Class of Nonlinear Systems. в Vitaly K, Evgeny P, Bogach N, Редакторы, Proceedings of the 3rd International Conference on Applications in Information Technology, ICAIT 2018. Association for Computing Machinery. 2018. стр. 46-51 . (ACM International Conference Proceeding Series). https://doi.org/10.1145/3274856.3274866

Author

Попков, Александр Сергеевич ; Смирнов, Николай Васильевич ; Смирнова, Татьяна Евгеньевна. / On Modification of the Positional Optimization Method for a Class of Nonlinear Systems. Proceedings of the 3rd International Conference on Applications in Information Technology, ICAIT 2018. Редактор / Klyuev Vitaly ; Pyshkin Evgeny ; Natalia Bogach. Association for Computing Machinery, 2018. стр. 46-51 (ACM International Conference Proceeding Series).

BibTeX

@inproceedings{71c61183247d420dbbb5854266343187,
title = "On Modification of the Positional Optimization Method for a Class of Nonlinear Systems",
abstract = "An optimal control problem in a class of nonlinear systems is considered. A modification of the positional optimization approach to the optimal control of feedback type synthesis is suggested. The problem of nonlinear control is reduced to a problem of optimal control for an auxiliary linear approximation system at each step of algorithm, and then to a linear programming problem. If the time to solve the auxiliary linear problem does not exceed the algorithm time step, we can say that the control system realizes the positional control in real time. The proposed method is illustrated with an optimal control problem for the mathematical pendulum.",
keywords = "Nonlinear systems, Optimal control, Real time approach, Stabilization",
author = "Попков, {Александр Сергеевич} and Смирнов, {Николай Васильевич} and Смирнова, {Татьяна Евгеньевна}",
year = "2018",
month = nov,
day = "1",
doi = "10.1145/3274856.3274866",
language = "English",
series = "ACM International Conference Proceeding Series",
publisher = "Association for Computing Machinery",
pages = "46--51 ",
editor = "Klyuev Vitaly and Pyshkin Evgeny and Natalia Bogach",
booktitle = "Proceedings of the 3rd International Conference on Applications in Information Technology, ICAIT 2018",
address = "United States",
note = "3rd International Conference on Applications in Information Technology, ICAIT 2018 ; Conference date: 01-11-2018 Through 03-11-2018",

}

RIS

TY - GEN

T1 - On Modification of the Positional Optimization Method for a Class of Nonlinear Systems

AU - Попков, Александр Сергеевич

AU - Смирнов, Николай Васильевич

AU - Смирнова, Татьяна Евгеньевна

PY - 2018/11/1

Y1 - 2018/11/1

N2 - An optimal control problem in a class of nonlinear systems is considered. A modification of the positional optimization approach to the optimal control of feedback type synthesis is suggested. The problem of nonlinear control is reduced to a problem of optimal control for an auxiliary linear approximation system at each step of algorithm, and then to a linear programming problem. If the time to solve the auxiliary linear problem does not exceed the algorithm time step, we can say that the control system realizes the positional control in real time. The proposed method is illustrated with an optimal control problem for the mathematical pendulum.

AB - An optimal control problem in a class of nonlinear systems is considered. A modification of the positional optimization approach to the optimal control of feedback type synthesis is suggested. The problem of nonlinear control is reduced to a problem of optimal control for an auxiliary linear approximation system at each step of algorithm, and then to a linear programming problem. If the time to solve the auxiliary linear problem does not exceed the algorithm time step, we can say that the control system realizes the positional control in real time. The proposed method is illustrated with an optimal control problem for the mathematical pendulum.

KW - Nonlinear systems

KW - Optimal control

KW - Real time approach

KW - Stabilization

UR - https://dl.acm.org/citation.cfm?id=3274866

U2 - 10.1145/3274856.3274866

DO - 10.1145/3274856.3274866

M3 - Conference contribution

T3 - ACM International Conference Proceeding Series

SP - 46

EP - 51

BT - Proceedings of the 3rd International Conference on Applications in Information Technology, ICAIT 2018

A2 - Vitaly, Klyuev

A2 - Evgeny, Pyshkin

A2 - Bogach, Natalia

PB - Association for Computing Machinery

T2 - 3rd International Conference on Applications in Information Technology, ICAIT 2018

Y2 - 1 November 2018 through 3 November 2018

ER -

ID: 36310888