Maneuver mode parametric modeling based on trajectory curve evolution laws for hypersonic glide vehicles

Abstract

Aiming at the target's maneuver mode description problems in hypersonic vehicle defense, a maneuver mode parametric modeling method based on the trajectory curve evolution laws is proposed. Firstly, the longitudinal and lateral maneuver modes are investigated. To avoid the unobservability problem of the target's guidance law and dynamics model, the directly measurable target states are taken as the research object. Secondly, from the perspective of the trajectory curve evolution laws, the trajectory's curvature and torsion are extracted as the maneuvering characteristic parameters based on the differential geometry theory, which realizes the decoupling and dimensionality reduction among the maneuvering characteristic parameters. According to the trajectory characteristics of the hypersonic targets, the extracted curvature and torsion are decomposed into trend and period terms to prevent the mutual interference of different modal data. Finally, the trend term is described using the Autoregressive method. To address the periodic drift problem, the Time-Varying Autoregressive model is introduced to approximate the non-stationary characteristics of the periodic term, thereby improving modeling accuracy. By model superposition and combination with the curvilinear equations, the maneuver mode parametric model is obtained. Simulation results demonstrate that the established maneuver mode parametric model shares high consistency with the dynamic model.