Optimal Control of Initiative Anti-Interception Penetration Using Multistage hp-adaptive Radau Pseudospectral Method

Considering the penetration guidance for initiative anti-interception penetration(IAIP), this paper presents an improved multistage hp-adaptive Radau pseudospectral Method (RPM) to solve non-smooth optimal control problem combined with mission decomposition. Firstly, the author builds a three-body motion model as dynamic constraint, which is composed of the attacker, interceptor and target, and establishes the optimal control model of each phase corresponded to keep flight, maneuver penetration, and attack target. Then this article takes segment points as optimization variables and proposed an adaptive curvature in order to improve the precision. The simulation results illustrate the effectiveness and superiority.