Satellite formation flying based On repetitive learning control

Satellite formation can be destroyed under earth oblateness perturbation. A repetitive learning controller is put forward with regard to the problem that it is hard to get the accurate model to describe the influence of the earth oblateness perturbation. First, the satellite formation is seen as a system with cyclical characteristics, use the learning error of the previous cycle to gradually regulate the estimated value of the influence of the earth oblateness perturbation, and derive a control law that can make the final state of the system converge to the expected value. After that, construct a Lyapunov function that can prove the stability of the system. Numerical simulation results show that the controller can keep the satellite formation in the case of having no accurate model, and can obtain a high control accuracy.