Monoaxial attitude stabilization of a rigid body under vanishing restoring torque

A. Yu Aleksandrov, E. B. Aleksandrova, A. A. Tikhonov

Результат исследований: Научные публикации в периодических изданияхстатья

1 цитирование (Scopus)

Выдержка

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.

Язык оригиналаанглийский
Страницы (с-по)12-21
Число страниц10
ЖурналNonlinear Dynamics and Systems Theory
Том18
Номер выпуска1
СостояниеОпубликовано - 2018

Отпечаток

Rigid Body
Torque
Stabilization
Control systems
Lyapunov Direct Method
Differential Inequalities
Numerical Modeling
Control System
Tend
Zero
Demonstrate

Предметные области Scopus

  • Математическая физика
  • Прикладная математика

Цитировать

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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.

Результат исследований: Научные публикации в периодических изданияхстатья

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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

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