TY - JOUR

T1 - Rigid body stabilization under time-varying perturbations with zero mean values

AU - Aleksandrov, Alexander

AU - Tikhonov, Alexey

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The problem of monoaxial attitude control of a rigid body subjected to nonstationary perturbations is investigated. The control torque consists of a dissipative component and a restoring one. The cases of linear and nonlinear restoring and perturbing torques are analyzed. Two theorems on asymptotic stability of the programmed orientation are proved. The results of a numerical simulation are presented to confirm the conclusions obtained analytically.

AB - The problem of monoaxial attitude control of a rigid body subjected to nonstationary perturbations is investigated. The control torque consists of a dissipative component and a restoring one. The cases of linear and nonlinear restoring and perturbing torques are analyzed. Two theorems on asymptotic stability of the programmed orientation are proved. The results of a numerical simulation are presented to confirm the conclusions obtained analytically.

KW - Asymptotic stability

KW - Averaging method

KW - Lyapunov function

KW - Monoaxial stabilization

KW - Rigid body

KW - Time-varying perturbations

UR - http://www.scopus.com/inward/record.url?scp=85049666995&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85049666995

VL - 7

SP - 5

EP - 10

JO - Cybernetics and Physics

JF - Cybernetics and Physics

SN - 2223-7038

IS - 1

ER -