Abstract: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