Energy-Optimal Guidance Law for Inverse Trajectory Meeting Under Flight Path Angle Constraints

To address the challenges of meeting high-speed, highly maneuverable target points with nonlinear uncertainties in the complex environments of modern dynamic operational scenario, this study proposes an inverse trajectory meeting energy-optimal guidance method with flight path angle constraints. First, an inverse trajectory meeting scheme is designed. By analyzing the dynamic characteristics of flight agent guidance and the maneuvering behavior of target points, the midterminal guidance handover point is determined, thereby converting the meeting problem of maneuvering target points into a guidance problem with fixed terminal-point constraints. Second, based on energy-optimal theory and the dynamics model of flight agent guidance, a three-dimensional guidance law with flight path angle constraints is developed. The expression for the remaining flight time is derived in a two-dimensional plane and subsequently extended to three-dimensional space. Simulation results validate the effectiveness of the energy-optimal guidance law under terminal angle constraints.