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Acta Aeronautica et Astronautica Sinica ›› 2023, Vol. 44 ›› Issue (S1): 727654-727654.doi: 10.7527/S1000-6893.2022.27654

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LMI-based output tracking robust drag-free control with model reference adaptive scheme

Xiaoyun SUN1,2, Shufan WU1,2(), Qiang SHEN1,2   

  1. 1.School of Aeronautics and Astronautics,Shanghai Jiao Tong University,Shanghai  200240,China
    2.Shanghai Frontier Science Center for Gravitational Wave Detection,Shanghai  200240,China
  • Received:2022-06-01 Revised:2022-06-20 Accepted:2022-07-23 Online:2023-06-25 Published:2022-07-25
  • Contact: Shufan WU E-mail:shufan.wu@sjtu.edu.cn
  • Supported by:
    National Key Research and Development Program(2020YFC2200800);Youth Program of National Natural Science Foundation of China(62103275);Natural Science Foundation of Shanghai(20ZR1427000)

Abstract:

Aiming at the problem of ultra-stable and high precision attitude control of spacecraft platform for the mission of space gravitational wave detection, an enhanced multivariable robust Model Reference Adaptive Control (MRAC) scheme is proposed. To realize the closed-loop robustness of all the output signals, and suppress bounded external disturbances and parametric uncertainties that match the system input, this scheme is applied to the drag-free control loop of detection spacecraft platform. Considering that the system state is uneasy to obtain directly, the design of the MRAC scheme is based on the output feedback and output regulation. To improve the robustness, an adaptive correction term is derived based on solutions to systems of Linear Matrix Inequalities (LMIs) constructed by stability analysis. The Lyapunov analysis verifies the closed-loop stability of each signal, and the numerical simulation verifies the good robustness of the drag-free DOF in the face of nonlinear uncertainties and additional disturbances.

Key words: output tracking, robust control, model reference adaptive control, drag-free control, space gravitational wave detection

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