Comparison Between Three Spiraling Ballistic Missile State Estimators
Jinwhan Kim, Sai Vaddi, Padmanabhan K. Menon, Ernest J. Ohlmeyer · AIAA Guidance, Navigation, and Control Conference and Exhibit · 2008
During the reentry to the atmosphere, certain ballistic missiles are known to undergo violent spiraling motions induced by aerodynamic resonance between roll and yaw/pitch modes. Successful interception of such a spiraling target is critically dependent on the performance of the target state estimator. Strong nonlinearities involved in the system dynamics and measurement equations together with sensor noise make this a challenging estimation task. The performance of the Extended Kalman Filter, the Unscented Kalman Filter, and the Particle Filter designed for this estimation problem is compared in this paper. Additionally, a hybrid Rao-Blackwellized Particle Filter approach combining the Extended Kalman Filter and the Particle Filter is also considered. Simulation results are provided to support the conclusions from the present study. Nomenclature T X = North position of the target T Y = East position of the target T Z = Down position of the target m X = North position of the missile m Y = East position of the missile m Z = Down position of the missile z , y , x G = Gravitational acceleration components of the target z , y , x A = Aerodynamic acceleration components of the target ω = Spiraling frequency of the target ϕ = Aerodynamic roll angle of the target 1