A Nonlinear Pursuit-Evasion Game Trajectory Planning Method for Spacecrafts with Low Sensitivity on the Initial Value

Aiming at the nonlinear pursuit-evasion game problems of the spacecrafts, an improved Radau pseudo-spectral method whose initial values are pre-optimized by a hybrid optimization algorithm is proposed. This method transforms the nonlinear pursuit-evasion game problem considering J2 term perturbations, a bilateral optimal problem, into a unilateral optimal control problem based on the semi-direct method. Subsequently, hp-Radau pseudo-spectral method is used to further transform the unilateral optimal control problem into a nonlinear programming problem. Then, a hybrid optimization algorithm composed of the designed nonlinear adaptive particle swarm optimization (NAPSO) algorithm and the collocation method is to pre-optimize the initial guess value of the nonlinear programming problem, which is solved by the nonlinear programming solver. After that, the optimal control strategy and game trajectory of the spacecrafts can be obtained. Finally, the simulation results show that the proposed method can maintain high solution accuracy and efficiency with limited computational cost compared to the combined shooting and collocation method (CSCM), while reducing the initial value sensitivity of the method.