Rapid Trajectory Re-plan for Power System Fault of Ballistic Missiles via Convex Optimization

A rapid trajectory re-plan algorithm for ascent phase of ballistic missiles when power system fault happens is presented in this paper. Firstly, the trajectory re-plan and optimization problem is described as an optimal control problem including the dynamical model, objective function and constraints. Since the problem is nonconvex and cannot be solved accurately and rapidly, various techniques are adopted to transform the original problem to a series of convex problems equivalently. Considering the nonconvex thrust magnitude constraint, lossless convexification is proposed to avoid nonconvexity. And then, successive convexification and some improved strategies are applied in order to convexify the remaining nonconvexities and improve the accuracy and robustness of the algorithm. Finally, simulation tests are conducted and results demonstrate the accuracy and adaptability of the proposed method.