Formation keeping of Micro-Satellites LQR control algorithms analysis

Formation keeping of Micro-Satellites is one of the main issues about satellite formation flying control. Satellites may be perturbed by many perturbations in formation flying all the time and the life of the satellite is affected directly by perturbations, it needs to eliminate or reduce the influence which is caused by the methods of formation flying control. Firstly, Base on the HILL equation, use LQR theory to design the controller; then under the condition which is satisfied with the performance index requirements, choose the weighted matrix of Q and R in LQR design method; finally, analyzed the influence of the weighted matrix of Q and R on performance index system.