Abstract:

Orbital rendezvous problem of pursuit-evasion differential game with continuous thrust is analyzed with quantitative method for a maneuvering target, the nonlinear programming method to solve this differential game problem is proposed, and the nonlinear programming model is formulated for the highly nonlinear pursuit-evasion problem which is difficult to solve with the classic optimal control method. The simulation results indicate that this method has realized the combination of optimal control and game theory, and is effective to solve the space rendezvous problem with maneuvering target.

Key words: Space rendezvous, Differential game, Continuous thrust, Nonlinear programming