In this study, we considered the coordination and vibration control for two sets of flexible satellite systems with input constraints and actuator failures. The parameters of both systems were kept uniform, and one was called the master flexible satellite, and the other one was called slave flexible satellite. The two sets of the flexible satellite systems were modelled as partial differential equations. Coordination control laws were designed to turn the master flexible satellite system to the desired angle and then turn the slave system to the angle of the master satellite system. Furthermore, the hyperbolic tangent function was adopted to realize the control input constraint. The adaptive control laws were designed to ensure that the systems work normally even when the actuator fails. Lyapunov’s direct method was adopted and stability analysis was given. Finally, numerical simulations were conducted to validate the results.

在这项研究中，我们考虑了两组具有输入约束和执行器故障的柔性卫星系统的协调和振动控制。两个系统的参数保持一致，一个称为主柔性卫星，另一个称为从柔性卫星。将两组柔性卫星系统建模为偏微分方程。协调控制法则旨在将主柔性卫星系统旋转到所需角度，然后将从动系统旋转到主卫星系统的角度。此外，采用双曲正切函数来实现控制输入约束。自适应控制法则旨在确保即使执行器发生故障，系统也能正常工作。采用李雅普诺夫的直接方法，并进行了稳定性分析。最后，进行了数值模拟以验证结果。