A Cost-Effective Tracking Algorithm for Hypersonic Glide Vehicle Maneuver Based on Modified Aerodynamic Model

Abstract

Abstract:In order to defend the hypersonic glide vehicle (HGV), a cost-effective single-model tracking algorithm using Cubature Kalman filter (CKF) is proposed in this paper based on modified aerodynamic model (MAM) as process equation and radar measurement model as measurement equation. In the existing aerodynamic model, the two control variables attack angle and bank angle cannot be measured by the existing radar equipment and their control laws cannot be known by defenders. To establish the process equation, the MAM for HGV tracking is proposed by using additive white noise to model the rates of change of the two control variables. For the ease of comparison several multiple model algorithms based on CKF are presented, including interacting multiple model (IMM) algorithm, adaptive grid interacting multiple model (AGIMM) algorithm and hybrid grid multiple model (HGMM) algorithm. The performances of these algorithms are compared and analyzed according to the simulation results. The simulation results indicate that the proposed tracking algorithm based on modified aerodynamic model has the best tracking performance with the best accuracy and least computational cost among all tracking algorithms in this paper. The proposed algorithm is cost-effective for HGV tracking.

A Hybrid Model Algorithm for Hypersonic Glide Vehicle Maneuver Tracking Based on the Aerodynamic Model

“…We proposed a single model algorithm and several multiple model algorithms for HGV tracking in our paper [7]. Those algorithms were all developed based on the aerodynamic model (process equation) and the radar measurement model (measurement equation).…”

“…The HGV aerodynamic model can be described in a semi-speed coordinate system by the equation [7,13]:…”

“…where V, θ, σ, r, λ, φ are the state variables defined in our paper [7]. Bank angle ν and AOA α are the two unknown control variables defined in our paper [7].…”

“…Bank angle ν and AOA α are the two unknown control variables defined in our paper [7]. Furthermore, from Reference [7] we know that for an appropriate flight distance, the variation ranges are usually set as follows [6]: AOA, 6 • to 12 • ; bank angle, −20 • to 20 • .…”

“…There are some papers about HGV tracking using kinematic models [2,3] and using aerodynamic models [6,7]. However, the problems of the uncertain initial state and big errors for HGV tracking have not been studied in any published paper, and they are important for improving the tracking performance.…”