With the deployment of space mission, rendezvous and docking technology is playing an important part in cooperative spatial task. For the past few years, unmanned spacecraft rendezvous and docking technology has been widely used in various space station missions. Control of rendezvous and docking system is of great significance according to the Beidou satellite launch plan and the space station plan. Space rendezvous process can be divided into three parts. Our work is based on close guidance part.We modify spacecraft rendezvous model by introducing switch control and improve control law considering limited thrust, non-circle uncertainty and thrust faults. Then, simulation proves its validity. The article includes:We build discrete model of spacecraft autonomous rendezvous under impulsive thrust. According to the generalized stable conditions of Lyapunov function, we design segmented state feedback control law under limited thrust, making Lyapunov function in the end of each impulse period decreased, until zero.We build parameter optimization model of spacecraft autonomous rendezvous under impulsive thrust and design state feedback control law of it. Based on the description above, we introduce parameters to improve the model and design corresponding control law therefore.Considering the assumption of model and the feasibility of practice engineering, we introduce non-circle uncertainty to simplify gravity asymmetry and perturbative force, also we set error limit of orbital thrust.In simulation analysis, we use genetic algorithm to improve efficiency. We take “tmin” in LMI solutions as the objective fitness function. After proper design of crossover, recombination and mutation, we get global optimal solution of the problem. |