一点对多点同时激光通信视轴姿态解算方法

Solution Method of Line-of-sight Attitude in One-point to Multi-point Simultaneous Laser Communication System

针对1点对多点同时激光通信光端机的小型化、轻量化、网络化的技术需求,该文简化了光端机上的多个陀螺,提出一种利用单陀螺实现多个光学视轴同时稳定的方案。为求解多光学视轴姿态,根据欧拉定理重新定义了每个指向镜的坐标系,建立了基于转动4元数的多光学视轴姿态数学模型。为了求解该数学模型的参数,给出了相对应的4阶龙格库塔解算方法,并进行了“三子样”算法优化。最后,将数值解算结果与3种典型圆锥运动的真值进行比较,获得了不同指向镜视轴姿态的解算误差曲线。结果表明,在60 s仿真时间内4阶龙格库塔法对4个光学视轴姿态的联合解算精度优于10-4μrad,验证了该模型的有效性。经过“三子样”算法优化后,3种典型圆锥运动的解算精度分别提高了3个数量级、3个数量级和1个数量级,达到了精度优化的目的。该方法的提出,为捷联稳定技术在激光通信组网中的应用提供了理论依据。

Considering the technical requirements of one-point to multi-point simultaneous laser communication for miniaturization,light weight and networking of optical transceiver,the multiple gyroscopes on the optical transceiver are simplified,and a scheme of realizing simultaneous stability of multiple optical line-of-sights by using a single gyroscope is proposed.In order to calculate the attitude of multiple optical line-of-sights,the coordinate system of each pointing mirror is redefined according to the Euler theorem,and the mathematical model of multiple optical line-of-sights attitude based on rotating quaternion is established.In order to calculate the parameters of the mathematical model,the fourth-order Runge-Kutta algorithm is given,and the three-sample algorithm is optimized.Finally,the numerical solution results are compared with the true values of three typical cone motions,and the solution error curves of different pointing mirror line-of-sight postures are obtained.The results show that the fourth-order Runge-Kutta method is superior to 10-4 mrad in the simulation time of 60 s,which verifies the effectiveness of the model.After the optimization of the three-sample algorithm,the accuracy of the joint solution of three typical conical motions is improved by 3 orders of magnitude,3 orders of magnitude and 1 order of magnitude respectively,and the purpose of accuracy optimization is achieved.This method provides a theoretical basis for the application of strapdown stabilization technology to laser communication networking.