基于拉盖尔函数的卫星姿态预测控制方法

针对卫星在空间站中进行绕飞检测时的姿态控制问题，考虑卫星的姿态轴需要躲避禁飞区域并指向期望位置，提出了一种基于拉盖尔函数的模型预测控制方法，实现了对卫星姿态轴的控制。在模型预测控制方法的基础上，通过拉盖尔函数，将优化多个控制输入转换为优化少数的拉盖尔系数，建立了拉盖尔模型预测的控制策略，改善了传统的模型预测控制方法计算效率差的问题，减少了优化时间。采用卫星在空间站中绕飞的模型进行数值仿真验证，结果表明该方法能够使卫星的姿态轴躲避禁飞区并到达指定位置。与传统方法相比，这种基于拉盖尔函数的模型预测控制策略能够提高优化效率，减少计算时间。

Method of the Satellite Attitude Predictive Control based on the Laguerre Function

Aiming at the attitude control problem of satellite flying around the space station, considering the satellite attitude axis needs to avoid the forbidden zone and point to the desired position, a model predictive control method based on Laguerre function is proposed to realize the attitude control of the satellite. Based on the model predictive control method, the Laguerre function is used to convert multiple control inputs into the Laguerre coefficients of small quantity, and the control strategy of Laguerre model predictive is established. The problem of poor efficiency of the traditional model predictive control method is improved and the optimization time is reduced. The numerical simulation of the model of the satellite flying around the space station is carried out, and the results show that the method can make the attitude axis of the satellite avoided the forbidden zone and reached the designated position. Comparing with the traditional method, this Laguerre-based model predictive control strategy can improve the optimization efficiency and reduce the calculation time. Keywords: satellite; space station; forbidden zone; model predictive control; Laguerre function