模型不确定和干扰下电磁编队飞行的预设时间自抗扰控制

Prescribed-Time Active Disturbance Rejection Control for Electromagnetic Formation Flight Under Model Uncertainties and Disturbances

  • 摘要: 本文研究了存在模型不确定和外部干扰的电磁卫星编队预设时间位置跟踪控制. 以卫星相对运动Clohessy-Wiltshire方程作为动力学模型,提出了一种预设时间输出反馈控制策略. 设计了一个预设时间扩张状态观测器,用于估计系统的相对速度和外部扰动,扰动估计值构成了控制器的前馈补偿部分. 在此框架基础上, 结合反步法构建了一种新的预设时间自抗扰位置跟踪控制策略. 利用李雅普诺夫稳定性理论证明了扩张状态观测器的收敛性和闭环控制系统的稳定性. 通过数值仿真验证了所提控制器的有效性.

     

    Abstract: This study investigates prescribed-time position tracking control for electromagnetic satellite formations subject to model uncertainties and external disturbances. Using the Clohessy-Wiltshire equations as the relative motion dynamics model, a prescribed time output feedback control strategy is proposed. A prescribed-time extended state observer is designed to estimate the relative velocity and external disturbances. The disturbance estimates are then used as the feedforward component of the controller. Building on this framework, a novel prescribed-time active disturbance rejection control strategy for position tracking is developed via a backstepping control design. The convergence of the extended state observer and the stability of the closed-loop system are rigorously analyzed using Lyapunov stability theory. Numerical simulations are performed to validate the effectiveness of the proposed controller.

     

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