Mathematical model of angular motion of nanosatellites with inertial actuators


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Abstract

The problem of developing a nanosatellite attitude control system using three reaction wheels mounted along the main central axes of inertia is discussed in the paper. The law of controlling a nanosatellite’s attitude is based on a PD - controller. The stability of the process of controlling the nanosatellite attitude using the Lyapunov function method has been analyzed. It allows us to prove that the obtained control law provides the asymptotic stability of nanosatellite angular motion. Hereafter, the function of control voltage for electric motors of reaction wheels taking into account their specifications is obtained based on the developed mathematical model of reaction wheel dynamics. Numerical calculations of controlled angular motion have been carried out for the nanosatellite CubeSat3U with actuators on the basis of a commercial DC motor. Several cases of controlling the satellite’s rotation by different angles are considered in the course of the numerical experiments. The results of numerical experiments showed the adequacy of the developed mathematical model.

About the authors

M. M. Moldabekov

Institute of Space Systems and Technologies, Almaty

Author for correspondence.
Email: moldabekov.m@istt.kz

Doctor of Science (Engineering), Professor
Academician of the National Academy of Sciences of the Republic of Kazakhstan

Kazakhstan

D. S. Ahmedov

Institute of Space Systems and Technologies, Almaty

Email: lacp@mail.ru

Doctor of Science (Engineering)
Director

Kazakhstan

S. A. Elubaev

Institute of Space Systems and Technologies, Almaty

Email: elubaev.s@istt.kz

Head of the Laboratory of Space System Simulation Modeling and Development

Kazakhstan

A. S. Sukhenko

Institute of Space Systems and Technologies, Almaty

Email: suhenko.a@istt.kz

Head of Sector, Laboratory of Space System Simulation Modeling and Development

Kazakhstan

T. M. Bopeev

Institute of Space Systems and Technologies, Almaty

Email: bopeyev.t@istt.kz

Head of Sector, Laboratory of Space System Simulation Modeling and Development

Kazakhstan

K. A. Alipbayev

Institute of Space Systems and Technologies, Almaty

Email: alipbayev.k@istt.kz

Doctor of Science (Engineering)
Deputy Head of the Laboratory of Space System Simulation Modeling and Development

Kazakhstan

D. L. Mikhailenko

Institute of Space Systems and Technologies, Almaty

Email: mikhaylenko.d@istt.kz

Research associate of the Laboratory of Space System Simulation Modeling and Development

Kazakhstan

References

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