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The tip-tilt correction system is widely used in precision optical systems, such as high-resolution telescopes and free space optical communications, to achieve image stabilization and beam stabilization. In these precision optical systems, the tip-tilt correction system is affected by disturbance during beam stabilization control, which generally have unknown time-varying characteristics. Therefore, fast adaptive suppression of time-varying disturbances is a task of great significance, so plentiful adaptive control algorithms have been proposed which is mainly composed of control structure and parameter identification algorithms. Most adaptive control identification algorithms are based on spectrum analysis, which is a full frequency domain search method and has a large amount of calculation. At present, the time domain identification algorithm based on least mean square error criterion is relatively simple and fast, which provides a guarantee for the rapid adjustment of controller parameters. In addition, adaptive algorithms based on linear quadratic Gaussian (LQG) control or adaptive Kalman filter require accurate modeling and many parameters for adjusting controller, which is complicated and time-consuming. However, the control algorithm based on Youla parameterization does not depend on the accurate model, and can directly adjust the internal model of the controller, which reduces the complexity of the adaptive controller and does not involve the redesign of the controller. Therefore, this paper proposes an adaptive disturbance rejection method combining characteristic disturbance frequency identification and Youla parameterized control. On the basis of the least mean square error criterion, this method uses the closed-loop system error to identify the characteristic disturbance frequency, so that to realize the online adjustment of the adaptive controller. Moreover, the identified filtering parameters and controller adjustment are designed in parallel, thereby reducing the time consumption of adaptive disturbance suppression. At the same time, the frequency segmentation method is applied to combine the low-frequency disturbance and the filter suppression of high-frequency disturbance, so as to realize the adaptive suppression of the disturbance within the closed-loop bandwidth. The experimental results show that the method can quickly identify the characteristic disturbance and adjust the relevant parameters of the controller, and can improve the closed-loop performance of the system under single-frequency time-varying disturbance and multi-frequency disturbance.
Adaptive tip-tilt correction system
Adaptive control block diagram
Adaptive controller
Amplitude-frequency characteristic curves of notch filters with different parameters
Experimental platform diagram
Disturbance suppression ability curves in three cases
Frequency identification process
The estimation error when the disturbance changes continuously
Time domain and frequency domain diagram of tip-tilt error when disturbance changes continuously
Tip-tilt error of suppressing multifrequency disturbances. (a) Low-frequency broadband disturbance mixed spike disturbance; (b) Peak disturbance