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Monoaxial attitude stabilization of a rigid body under vanishing restoring torque. / Aleksandrov, A. Yu; Aleksandrova, E. B.; Tikhonov, A. A.

в: Nonlinear Dynamics and Systems Theory, Том 18, № 1, 2018, стр. 12-21.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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@article{23d196e1006f405895b6d5b583d6f514,
title = "Monoaxial attitude stabilization of a rigid body under vanishing restoring torque",
abstract = "The paper deals with the problem of monoaxial attitude stabilization of a rigid body. The possibility of implementing such a control system in which the restoring torque tends to zero as time increases is studied. With the aid of the Lyapunov direct method and the differential inequalities theory, conditions under which an equilibrium position of the body is stable with respect to all variables as well as with respect to a part of variables are derived. The results of a numerical modeling are presented to demonstrate the effectiveness of the proposed approaches.",
keywords = "Asymptotic stability, Differential inequality, Dissipation, Lyapunov function, Monoaxial attitude stabilization, Rigid body",
author = "Aleksandrov, {A. Yu} and Aleksandrova, {E. B.} and Tikhonov, {A. A.}",
year = "2018",
language = "English",
volume = "18",
pages = "12--21",
journal = "Nonlinear Dynamics and Systems Theory",
issn = "1562-8353",
publisher = "Informath Publishing Group",
number = "1",

}

RIS

TY - JOUR

T1 - Monoaxial attitude stabilization of a rigid body under vanishing restoring torque

AU - Aleksandrov, A. Yu

AU - Aleksandrova, E. B.

AU - Tikhonov, A. A.

PY - 2018

Y1 - 2018

N2 - The paper deals with the problem of monoaxial attitude stabilization of a rigid body. The possibility of implementing such a control system in which the restoring torque tends to zero as time increases is studied. With the aid of the Lyapunov direct method and the differential inequalities theory, conditions under which an equilibrium position of the body is stable with respect to all variables as well as with respect to a part of variables are derived. The results of a numerical modeling are presented to demonstrate the effectiveness of the proposed approaches.

AB - The paper deals with the problem of monoaxial attitude stabilization of a rigid body. The possibility of implementing such a control system in which the restoring torque tends to zero as time increases is studied. With the aid of the Lyapunov direct method and the differential inequalities theory, conditions under which an equilibrium position of the body is stable with respect to all variables as well as with respect to a part of variables are derived. The results of a numerical modeling are presented to demonstrate the effectiveness of the proposed approaches.

KW - Asymptotic stability

KW - Differential inequality

KW - Dissipation

KW - Lyapunov function

KW - Monoaxial attitude stabilization

KW - Rigid body

UR - http://www.scopus.com/inward/record.url?scp=85041191478&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85041191478

VL - 18

SP - 12

EP - 21

JO - Nonlinear Dynamics and Systems Theory

JF - Nonlinear Dynamics and Systems Theory

SN - 1562-8353

IS - 1

ER -

ID: 18084847