Open AccessRigid body stabilization under time-varying perturbations with zero mean values
Author(s) -
A. Yu. Aleksandrov,
А. А. Тихонов
Publication year - 2018
Publication title -
cybernetics and physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 8
eISSN - 2226-4116
pISSN - 2223-7038
DOI - 10.35470/2226-4116-2018-7-1-5-10
Subject(s) - dissipative system , control theory (sociology) , rigid body , nonlinear system , zero (linguistics) , restoring force , torque , exponential stability , stability (learning theory) , mathematics , orientation (vector space) , component (thermodynamics) , physics , mathematical analysis , control (management) , classical mechanics , computer science , geometry , thermodynamics , linguistics , philosophy , artificial intelligence , quantum mechanics , machine learning
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.