Segmented Predictor-Corrector Guidance Method with Optimized Angle-of-Attack Profile for Aerospace Vehicles

To address the challenges of complex terminal area energy management (TAEM) and difficulties in long-range online guidance during the reentry of aerospace vehicles, this paper proposes an integrated guidance method combining angle-of-attack (AOA) profile optimization with segmented predictor-corrector algorithm. Firstly, to resolve the conflict between range prediction accuracy and guidance computation efficiency, an analytical expression for the range-to-go is derived based on flight dynamics. A segmented prediction strategy is adopted for different range phases: the long-range phase employs the analytical expression for rapid prediction, while the short-range phase enhances prediction accuracy through numerical integration. Furthermore, an iterative bank angle magnitude correction mechanism based on the secant method is established. These significantly improves the computational efficiency of the guidance prediction stage while ensuring highprecision range control. Secondly, considering the strong coupling between the AOA-velocity profile and terminal velocity, an optimization framework based on a real-coded genetic algorithm (RCGA) is constructed to refine the guidance correction stage. Building upon the single-iteration magnitude correction, characteristic velocities of linear AOA profiles are introduced as optimization variables. By employing a hybrid evolutionary mechanism combining simulated binary crossover (SBX) and polynomial mutation (PM), the framework avoids time-consuming encoding/decoding processes and reduces memory requirements. It enables efficient global optimization in high-dimensional continuous spaces, achieving online generation of AOA profiles that satisfy terminal velocity tolerance. Finally, numerical simulations verify the method's effectiveness, real-time capability, and robustness. The proposed approach demonstrates precise reentry capability under complex terminal constraints, providing a feasible online guidance solution for aerospace vehicles.