A trajectory design method for coupling aircraft radar cross-section characteristics

Abstract Fast and safe aircraft penetration is important to a battle mission. Radar is a major threat in the process of aircraft penetration. To cope with the radar threat, a trajectory design method for coupling the aircraft radar cross-section (RCS) characteristics is proposed in this paper. First, the RCS data are calculated by the physical optics (PO) method. The aircraft RCS characteristic model is established by Gaussian filtering and polynomial fitting. Second, a radar detection probability model is established by taking into account the influence of the radar maximum detection range, the aircraft RCS, and the distance between the aircraft and the radar. Third, a trajectory optimization solution framework with the dynamic model, constraint conditions, and optimal objectives is constructed. The hp-adaptive Radau pseudospectral method and the stepwise increasing constraints method are proposed to solve the optimal control problem. Finally, several examples in single and multiple radar unit deployment scenarios are simulated and verified. The simulation results showed that the proposed method is effective and applicable.