Research On Swarm Intelligence Technology For Spacecraft Collision Avoidance Based On Convex Optimization Theory

II With the development of MEMS, microelectronics technology and distributed systems and spacecraft in orbit which growing number and toward miniaturization, distributed collaboration, self-management direction. Spacecraft swarm made up of tiny satellites is currently developing a new direction spacecraft formation technology, while the spacecraft carrying the swarm due to space missions require Formation Reconfiguration process due to external factors and uncertainties affecting inevitable in Star collision between reconstruction process will take place, therefore, collision avoidance problem between stars has become a battle reconstruction process is an important issue. In this paper, the spacecraft swarm runs in a low Earth orbit spacecraft for the study,(greater than or equal to 10 fleet members), the dynamic model for the relative motion between the spacecraft, spacecraft collision avoidance reconstruction group formation and spacecraft trajectory planning group model predictive control has been studied by numerical simulation was carried out to verify.First, the issue of domestic and foreign literature on collision avoidance research and analysis, and research progress of spacecraft formation flying collision avoidance technologies and some relate research was introduction. Gives the formation of satellite space collision avoidance technology frame structure, key technology and related theoretical issues involved, the research progress of collision avoidance major technical problems were reviewed.Second, definition the space coordinates, based on CW equation, orbital method and the relative orbit elements method for the relative motion of spacecraft swarm formation flying were described, and the derivation of the relative motion equations, analyzed the dynamic model their characteristics.Third, assume in the low earth orbit nearly circular reference orbit, according to the relative motion equation precision combined convex optimization theory, minimum fuel consumption performance is given collision avoidance reconstruction spacecraft swarm trajectory planning problem by trajectory planning a convex optimization problem, and then the planning problem convert into a convex optimization problem, the development of a discrete SCP algorithm, and then use convex optimization toolbox CVX solved. To use convex optimization problem solving characteristics of rapid reconstruction process to solve the group as small as possible to calculate the characteristics of the time.Finally, because of the larger number of spacecraft swarm members, as the number increases, SCP algorithms are optimized with respect to the expected value of the track error is greater, so the use of model predictive control to optimize the characteristics of the time domain, the SCP and the MPC algorithm idea of combining the optimization of the problem domain narrow receding horizon optimization, and the introduction of terminal consumption function to ensure convergence of the optimization problem and feasible. MPC controller design gives the SCP-MPC algorithm, a numerical simulation of the case in the presence of interference term algorithm can have a smaller error and between desire.