Standard

Attitude stabilization of a rigid body under the action of a vanishing control torque. / Aleksandrov, A. Y.; Tikhonov, A. A.

In: Nonlinear Dynamics, Vol. 93, No. 2, 07.2018, p. 285-293.

Research output: Contribution to journal › Article › peer-review

Harvard

Aleksandrov, AY & Tikhonov, AA 2018, 'Attitude stabilization of a rigid body under the action of a vanishing control torque', Nonlinear Dynamics, vol. 93, no. 2, pp. 285-293. https://doi.org/10.1007/s11071-018-4191-4

APA

Aleksandrov, A. Y., & Tikhonov, A. A. (2018). Attitude stabilization of a rigid body under the action of a vanishing control torque. Nonlinear Dynamics, 93(2), 285-293. https://doi.org/10.1007/s11071-018-4191-4

Vancouver

Aleksandrov AY, Tikhonov AA. Attitude stabilization of a rigid body under the action of a vanishing control torque. Nonlinear Dynamics. 2018 Jul;93(2):285-293. https://doi.org/10.1007/s11071-018-4191-4

Author

Aleksandrov, A. Y. ; Tikhonov, A. A. / Attitude stabilization of a rigid body under the action of a vanishing control torque. In: Nonlinear Dynamics. 2018 ; Vol. 93, No. 2. pp. 285-293.

BibTeX

@article{a4503bae9be14230b168022b493783a1,
title = "Attitude stabilization of a rigid body under the action of a vanishing control torque",
abstract = "The problem of attitude stabilization of a rigid body with the use of restoring and dissipative torques is studied. The possibility of implementing a control system in which the restoring torque tends to zero as time increases, and the only remaining control torque is a linear time-invariant dissipative one, is investigated. Both cases of linear and essentially nonlinear restoring torques are considered. With the aid of the Lyapunov direct method and the comparison method, conditions are derived under which we can guarantee stability or asymptotic stability of an equilibrium position of the body despite the vanishing of the restoring torque. A numerical simulation is provided to demonstrate the effectiveness of analytical results.",
keywords = "Asymptotic stability, Attitude stabilization, Decomposition, Lyapunov function, Rigid body, Time-varying control, NONAUTONOMOUS MECHANICAL SYSTEMS, ASYMPTOTIC STABILITY CONDITIONS, EQUILIBRIUM POSITIONS, FORCES",
author = "Aleksandrov, {A. Y.} and Tikhonov, {A. A.}",
year = "2018",
month = jul,
doi = "10.1007/s11071-018-4191-4",
language = "English",
volume = "93",
pages = "285--293",
journal = "Nonlinear Dynamics",
issn = "0924-090X",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Attitude stabilization of a rigid body under the action of a vanishing control torque

AU - Aleksandrov, A. Y.

AU - Tikhonov, A. A.

PY - 2018/7

Y1 - 2018/7

N2 - The problem of attitude stabilization of a rigid body with the use of restoring and dissipative torques is studied. The possibility of implementing a control system in which the restoring torque tends to zero as time increases, and the only remaining control torque is a linear time-invariant dissipative one, is investigated. Both cases of linear and essentially nonlinear restoring torques are considered. With the aid of the Lyapunov direct method and the comparison method, conditions are derived under which we can guarantee stability or asymptotic stability of an equilibrium position of the body despite the vanishing of the restoring torque. A numerical simulation is provided to demonstrate the effectiveness of analytical results.

AB - The problem of attitude stabilization of a rigid body with the use of restoring and dissipative torques is studied. The possibility of implementing a control system in which the restoring torque tends to zero as time increases, and the only remaining control torque is a linear time-invariant dissipative one, is investigated. Both cases of linear and essentially nonlinear restoring torques are considered. With the aid of the Lyapunov direct method and the comparison method, conditions are derived under which we can guarantee stability or asymptotic stability of an equilibrium position of the body despite the vanishing of the restoring torque. A numerical simulation is provided to demonstrate the effectiveness of analytical results.

KW - Asymptotic stability

KW - Attitude stabilization

KW - Decomposition

KW - Lyapunov function

KW - Rigid body

KW - Time-varying control

KW - NONAUTONOMOUS MECHANICAL SYSTEMS

KW - ASYMPTOTIC STABILITY CONDITIONS

KW - EQUILIBRIUM POSITIONS

KW - FORCES

UR - http://www.scopus.com/inward/record.url?scp=85043390419&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/attitude-stabilization-rigid-body-under-action-vanishing-control-torque

U2 - 10.1007/s11071-018-4191-4

DO - 10.1007/s11071-018-4191-4

M3 - Article

AN - SCOPUS:85043390419

VL - 93

SP - 285

EP - 293

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

IS - 2

ER -

ID: 18083452