<p>In this article, an adaptive boundary controller is developed for the output-constrained attitude tracking and vibration elimination of flexible spacecraft described by partial differential equations (PDEs). The developed controller contains a boundary control torque law and a boundary control force law, which are adopted to track the desired attitude and eliminate the vibration, respectively. Both the boundary control laws are designed by utilizing the barrier Lyapunov function (BLF) and parametric adaptation mechanism. Benefiting from this design, the developed controller can not only guarantee the attitude tracking error and tip deformation always restrain in the predefined time-varying output constraints, but also have the strong robustness against external disturbances. The asymptotic stability of the closed-loop system is evaluated through Lyapunov’s direct methodology and LaSalle’s invariance principle. Lastly, simulated studies are carried out to examine the derived results.</p>

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Adaptive attitude and vibration control of flexible spacecraft under output constraints

  • Qijia Yao,
  • Qing Li,
  • Hadi Jahanshahi

摘要

In this article, an adaptive boundary controller is developed for the output-constrained attitude tracking and vibration elimination of flexible spacecraft described by partial differential equations (PDEs). The developed controller contains a boundary control torque law and a boundary control force law, which are adopted to track the desired attitude and eliminate the vibration, respectively. Both the boundary control laws are designed by utilizing the barrier Lyapunov function (BLF) and parametric adaptation mechanism. Benefiting from this design, the developed controller can not only guarantee the attitude tracking error and tip deformation always restrain in the predefined time-varying output constraints, but also have the strong robustness against external disturbances. The asymptotic stability of the closed-loop system is evaluated through Lyapunov’s direct methodology and LaSalle’s invariance principle. Lastly, simulated studies are carried out to examine the derived results.