Design of model reference adaptive control for fast steering mirror based on generalized error fast differential method

Due to the existence of flexible link in fast steering mirror (FSM), the uncertainty of the structural stiffness of the flexible-supported FSM is greatly increased when FSM works. This leads to a higher requirement for the robustness of control system. Aimed at this problem, a generalized error fast differential based adaptive controller is proposed by combining the adaptive control theory with the tracking differential theory. The controller can make appropriate adjustments to track the given reference model if the structure changes. Firstly, the mathematical model of the FSM control system is optimized to match the mathematical model of the tracking differentiator. Secondly, according to the input and output data of the FSM, the adaptive control system is designed based on Lyapunov stabilized theory. Finally, the denoised system's generalized error signal and its differential signal are obtained by using a fast differentiator. The signals are used in adaptive control system immediately. The numerical simulations results show that the proposed algorithm can both suppress the influence of the change of structural stiffness and the sensor’s noise.

FSM, flexible link, adaptive control, fast differential, incomplete derivative PID

Ai Zhiwei, Ji Jianbo, Wang Pengju, Liang Ruijing, Zhu Hua, Design of model reference adaptive control for fast steering mirror based on generalized error fast differential method. 2019 5th International Conference on Advanced Computing, Networking and Security (ADCONS 2019). 2019: 18-26.