针对比例积分控制算法在自适应光学校正性能方面的缺陷,从建立自适应光学系统的模型出发,利用线性二次高斯(LQG)控制算法来提升自适应光学系统的校正性能,并在实际系统中进行了实验验证。与比例积分控制实验的对比结果表明,LQG控制校正后的远场光斑光强值可从3000 ADU提升到3700 ADU,残余波前方均根值可从0.039 μm下降到0.026 μm。LQG控制可抑制闭环后远场光斑的剧烈抖动,提高变形镜的电压收敛速度,进一步提高自适应光学系统的稳定性和响应速度。

In order to solve the defect of the proportional-integral control algorithm in adaptive optical correction performance, a linear quadratic Gaussian (LQG) control method is proposed to improve the correction performance of the adaptive optical system. Experimental verification in the actual system is performed in this paper. Compared with the proportional-integral control, the LQG control method can improve the peak intensity of the far-field spot from 3000 ADU to 3700 ADU, and decrease the root mean square value of the residual wavefront from 0.039 μm to 0.026 μm. The LQG control method can also suppress the violent jitter of the far-field optical field after closed-loop and improve the convergence speed of the deformed mirror voltage, further improving the stability and response speed of the adaptive optical system.