Nonlinear Control for Attitude Stabilization of a Rigid Body Forced by Nonstationary Disturbances with Zero Mean Values

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Nonlinear Control for Attitude Stabilization of a Rigid Body Forced by Nonstationary Disturbances with Zero Mean Values. / Aleksandrov, A. Yu ; Tikhonov, A. A.

In: Journal of Applied and Computational Mechanics, Vol. 7, No. 2, 03.2021, p. 790-797.

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

BibTeX

@article{2a966a31aa1641629caacf77a9eb09dd,

title = "Nonlinear Control for Attitude Stabilization of a Rigid Body Forced by Nonstationary Disturbances with Zero Mean Values",

abstract = "A rigid body forced by a nonstationary perturbing torque with zero mean value is under consideration. The control strategy for attitude stabilization of the rigid body is based on the usage of dissipative and restoring torques. It is assumed that the dissipative torque is linear, while restoring and perturbing torques are purely nonlinear. A theorem on sufficient conditions for asymptotic stability of the body angular position is proved on the basis of the decomposition method, the Lyapunov direct method and the averaging technique. Computer simulation results illustrating the theorem are presented.",

keywords = "Averaging method, Decomposition, Lyapunov function, Nonstationary disturbance, Rigid body, Triaxial stabilization",

author = "Aleksandrov, {A. Yu} and Tikhonov, {A. A.}",

year = "2021",

month = mar,

doi = "10.22055/JACM.2020.35394.2658",

language = "English",

volume = "7",

pages = "790--797",

journal = "Journal of Applied and Computational Mechanics",

issn = "2383-4536",

publisher = "Shahid Chamran University of Ahvaz",

number = "2",

}

RIS

TY - JOUR

T1 - Nonlinear Control for Attitude Stabilization of a Rigid Body Forced by Nonstationary Disturbances with Zero Mean Values

AU - Aleksandrov, A. Yu

AU - Tikhonov, A. A.

PY - 2021/3

Y1 - 2021/3

N2 - A rigid body forced by a nonstationary perturbing torque with zero mean value is under consideration. The control strategy for attitude stabilization of the rigid body is based on the usage of dissipative and restoring torques. It is assumed that the dissipative torque is linear, while restoring and perturbing torques are purely nonlinear. A theorem on sufficient conditions for asymptotic stability of the body angular position is proved on the basis of the decomposition method, the Lyapunov direct method and the averaging technique. Computer simulation results illustrating the theorem are presented.

AB - A rigid body forced by a nonstationary perturbing torque with zero mean value is under consideration. The control strategy for attitude stabilization of the rigid body is based on the usage of dissipative and restoring torques. It is assumed that the dissipative torque is linear, while restoring and perturbing torques are purely nonlinear. A theorem on sufficient conditions for asymptotic stability of the body angular position is proved on the basis of the decomposition method, the Lyapunov direct method and the averaging technique. Computer simulation results illustrating the theorem are presented.

KW - Averaging method

KW - Decomposition

KW - Lyapunov function

KW - Nonstationary disturbance

KW - Rigid body

KW - Triaxial stabilization

UR - http://www.scopus.com/inward/record.url?scp=85103656062&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/b8ed7baa-ff75-33cc-a41f-4a4d24efd753/

U2 - 10.22055/JACM.2020.35394.2658

DO - 10.22055/JACM.2020.35394.2658

M3 - Article

AN - SCOPUS:85103656062

VL - 7

SP - 790

EP - 797

JO - Journal of Applied and Computational Mechanics

JF - Journal of Applied and Computational Mechanics

SN - 2383-4536

IS - 2

ER -

ID: 71876387