TY - JOUR

T1 - Monoaxial Electrodynamic Stabilization of an Artificial Earth Satellite in the Orbital Coordinate System via Control with Distributed Delay

AU - Aleksandrov, Alexander

AU - Tikhonov, Alexey A.

N1 - Publisher Copyright: Author

PY - 2021/9/23

Y1 - 2021/9/23

N2 - An artificial Earth satellite (AES) with three different principal central moments of inertia is under consideration. The AES moves along a Keplerian circular equatorial near-Earth orbit. The AES is equipped with electrodynamic attitude control system that simultaneously generates Lorentz and magnetic control torques. The possibility of using an electrodynamic attitude control system for monoaxial attitude stabilization of AES in the orbital coordinate system is analyzed. The development of the concept of electrodynamic attitude control, including the use of a restoring torque with a distributed delay (integral term), is proposed. The conditions are found under which the electromagnetic attitude control system with distributed delay solves the problem of AES monoaxial stabilization in the presence of the disturbing gravitational torque. In a nonlinear formulation, sufficient conditions for the asymptotic stability of the AES equilibrium position are obtained. A theorem on the asymptotic stability of the AES programmed attitude motion is proved. The effectiveness of the constructed attitude control with a distributed delay is confirmed by numerical modeling.

AB - An artificial Earth satellite (AES) with three different principal central moments of inertia is under consideration. The AES moves along a Keplerian circular equatorial near-Earth orbit. The AES is equipped with electrodynamic attitude control system that simultaneously generates Lorentz and magnetic control torques. The possibility of using an electrodynamic attitude control system for monoaxial attitude stabilization of AES in the orbital coordinate system is analyzed. The development of the concept of electrodynamic attitude control, including the use of a restoring torque with a distributed delay (integral term), is proposed. The conditions are found under which the electromagnetic attitude control system with distributed delay solves the problem of AES monoaxial stabilization in the presence of the disturbing gravitational torque. In a nonlinear formulation, sufficient conditions for the asymptotic stability of the AES equilibrium position are obtained. A theorem on the asymptotic stability of the AES programmed attitude motion is proved. The effectiveness of the constructed attitude control with a distributed delay is confirmed by numerical modeling.

KW - Asymptotic stability

KW - Attitude control

KW - Delay systems

KW - Delays

KW - Earth

KW - Electric variables control

KW - Electrodynamics

KW - Low Earth orbit satellites

KW - Magnetic variables control

KW - Orbits

KW - Torque

KW - Low earth orbit satellites

KW - low earth orbit satellites

KW - delay systems

KW - electric variables control

KW - STABILITY

KW - magnetic variables control

KW - MECHANICAL SYSTEMS

KW - EQUILIBRIUM POSITIONS

KW - MULTIPOLE MODELS

KW - attitude control

UR - http://www.scopus.com/inward/record.url?scp=85115794238&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/256d552e-2b8a-3dc7-885b-773b304b77b5/

U2 - 10.1109/ACCESS.2021.3115400

DO - 10.1109/ACCESS.2021.3115400

M3 - Article

AN - SCOPUS:85115794238

VL - 9

SP - 132623

EP - 132630

JO - IEEE Access

JF - IEEE Access

SN - 2169-3536

ER -