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Optimal Synthesis of a Satellite Attitude Control System under Constraints on Control Torques and Velocities of Reaction Wheels

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Listed:
  • Meirbek Moldabekov

    (U. Joldasbekov Institute of Mechanics and Engineering, Almaty 050010, Kazakhstan)

  • Alisher Aden

    (Institute of Telecommunications and Space Engineering, Almaty University of Power Engineering and Telecommunications Named after G. Daukeyev, Almaty 050013, Kazakhstan)

  • Yerkin Orazaly

    (Institute of Telecommunications and Space Engineering, Almaty University of Power Engineering and Telecommunications Named after G. Daukeyev, Almaty 050013, Kazakhstan)

  • Nuriya Zhumabekova

    (Department of General Physics, Kazakh National Research Technical University Named after K.I. Satpayev, Almaty 050013, Kazakhstan)

Abstract

The problem of optimal synthesis of a nonlinear system’s control law parameters of satellite attitude control under constraints is considered. The maximum stability degree of a system is considered as an optimality criterion. The reaction wheels’ control moments and angular velocities achievable within the drives’ physical characteristics are considered as constraints. A linear model of the system converted from the original nonlinear model was used to solve the problem. The decomposition method, based on the transition from real time to relative time, is used to separate the tasks of optimality criterion maximization and constraints consideration. A method of synthesizing the optimal form of system transient process according to the maximum stability degree criterion is developed. An analytical method for determining the optimal values of control law parameters is proposed, based on the structural features of the linear differential equations system. A method that takes into account constraints on control moments and angular velocities of reaction wheels, based on transition scale from relative time to real time and its calculation algorithm, ensuring that conditions of all constraints are met, is developed. An example of solving the problem of optimal system synthesis is considered. The results demonstrate the effectiveness and simplicity of the proposed methods and algorithm for targeted selection of a system’s technical characteristics, taking into account constraints on reaction wheels’ maximum angular velocities and control moments values.

Suggested Citation

  • Meirbek Moldabekov & Alisher Aden & Yerkin Orazaly & Nuriya Zhumabekova, 2024. "Optimal Synthesis of a Satellite Attitude Control System under Constraints on Control Torques and Velocities of Reaction Wheels," Mathematics, MDPI, vol. 12(16), pages 1-16, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2569-:d:1459960
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    References listed on IDEAS

    as
    1. Meirbek Moldabekov & Anna Sukhenko & Yerkin Orazaly & Alisher Aden, 2023. "Dynamics Analysis of a Nonlinear Satellite Attitude Control System Using an Exact Linear Model," Mathematics, MDPI, vol. 11(12), pages 1-15, June.
    2. Gao Shan & Li You & Xue Huifeng & Yao ShuYue, 2021. "Robust PD+ Control Algorithm for Satellite Attitude Tracking for Dynamic Targets," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-15, July.
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