Reentry Trajectory Optimization Based on Second Order Cone Programming

Abstract

In this paper, a trajectory optimization method based on second order cone programming(SOCP) is proposed for reentry trajectory optimization. The main idea of this method is to normalize and establish the corresponding nonlinear optimal control problem model based on the three degree of freedom model of the aircraft, and then convert the nonlinear optimal control problem such as trajectory optimization into SOCP problem by convexity. The main convexity means include separating the nonlinear control variables, linearizing the motion equation and performance index by Taylor expansion. Finally, the sequential SOCP problem is solved by primal dual interior point method. The simulation results of the fastest arrival trajectory optimization with no-fly zones show that the method can satisfy the constraints of reentry process. At the same time, it has high end precision, good convergence and small calculations. The proposed method can be applied to both offline and online trajectory optimization tasks.