Li Liang, Feng Wanchen, Zhang Jianqiang
Appl Opt. 2025 Jun 20;64(18):4975-4985. doi: 10.1364/AO.563835.
To meet the high-performance control requirements of a fast steering mirror in a laser communication system, an improved prescribed performance control method that combines a reduced-order nonlinear extended state observer and a fast nonsingular terminal sliding mode is proposed. First, a reduced-order nonlinear extended state observer is constructed to estimate the external disturbance of the system. The estimated value is then introduced into the controller for feedforward compensation. Subsequently, a prescribed performance control law is designed based on the prescribed performance function to achieve constrained control of the system's tracking error. Second, to address the fragility issue of prescribed performance control, a switching fast nonsingular terminal sliding mode control law is established to avoid control singularity. The finite-time stability of the closed-loop system is then proved based on Lyapunov stability theory. Finally, the effectiveness and superiority of the proposed control method are verified by comparative experiments. This proposed method especially serves as a good guide for controller designs of other precision optical instruments.
为满足激光通信系统中快速转向镜的高性能控制要求，提出了一种改进的预设性能控制方法，该方法结合了降阶非线性扩展状态观测器和快速非奇异终端滑模。首先，构建降阶非线性扩展状态观测器来估计系统的外部干扰。然后将估计值引入控制器进行前馈补偿。随后，基于预设性能函数设计预设性能控制律，以实现对系统跟踪误差的约束控制。其次，为解决预设性能控制的脆弱性问题，建立切换快速非奇异终端滑模控制律以避免控制奇异性。然后基于李雅普诺夫稳定性理论证明闭环系统的有限时间稳定性。最后，通过对比实验验证了所提控制方法的有效性和优越性。该方法尤其可为其他精密光学仪器的控制器设计提供良好指导。
