Space debris trajectory estimation during atmospheric reentry using moving horizon estimator

Space debris trajectory estimation during atmospheric reentry is a complex problem. For such an object the ballistic coefficient, which characterizes the response of the object to aerodynamics braking, is usually a highly nonlinear function of time. This function may be unknown if no a priori information on the object type is available. It is therefore interesting to design a robust estimator that would provide accurate estimates of the state of the tracked object, from available measurements. In this paper, a Moving Horizon Estimator (MHE) is implemented for trajectory estimation of a space debris during atmospheric reentry, from radar measurements. Its performances in terms of convergence and accuracy are analysed and compared with that of an Extended Kalman Filter (EKF), traditionally applied to this type of problem.

[1]  Patrick Gallais,et al.  Atmospheric Re-Entry Vehicle Mechanics , 2007 .

[2]  Thiagalingam Kirubarajan,et al.  Estimation with Applications to Tracking and Navigation , 2001 .

[3]  Carlos H. Muravchik,et al.  Posterior Cramer-Rao bounds for discrete-time nonlinear filtering , 1998, IEEE Trans. Signal Process..

[4]  José A. De Doná,et al.  Moving Horizon Estimation of Constrained Nonlinear Systems by Carleman Approximations , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[5]  David Q. Mayne,et al.  Constrained state estimation for nonlinear discrete-time systems: stability and moving horizon approximations , 2003, IEEE Trans. Autom. Control..

[6]  Paul Zarchan,et al.  Comparison of Filtering Options for Ballistic Coefficient Estimation , 1998 .

[7]  Branko Ristic,et al.  Performance bounds and comparison of nonlinear filters for tracking a ballistic object on re-entry , 2003 .

[8]  L. Biegler,et al.  A fast moving horizon estimation algorithm based on nonlinear programming sensitivity , 2008 .

[9]  James B. Rawlings,et al.  Critical Evaluation of Extended Kalman Filtering and Moving-Horizon Estimation , 2005 .

[10]  Alexander J. Smits,et al.  Turbulent Shear Layers in Supersonic Flow , 1996 .

[11]  BLRToN C. CouR-PALArs,et al.  Collision Frequency of Artificial Satellites : The Creation of a Debris Belt , 2022 .

[12]  Giorgio Battistelli,et al.  Advances in moving horizon estimation for nonlinear systems , 2010, 49th IEEE Conference on Decision and Control (CDC).

[13]  Victor M. Zavala,et al.  Stability analysis of an approximate scheme for moving horizon estimation , 2010, Comput. Chem. Eng..

[14]  Giorgio Battistelli,et al.  Moving-horizon state estimation for nonlinear systems using neural networks , 2008, 2008 47th IEEE Conference on Decision and Control.

[15]  A. Farina,et al.  Tracking a ballistic target: comparison of several nonlinear filters , 2002 .

[16]  S. Ungarala Computing arrival cost parameters in moving horizon estimation using sampling based filters , 2009 .

[17]  Giorgio Battistelli,et al.  Moving-horizon state estimation for nonlinear discrete-time systems: New stability results and approximation schemes , 2008, Autom..

[18]  J. Wright,et al.  Optimal Orbit Determination , 2002 .

[19]  Victor M. Zavala,et al.  Optimization-based strategies for the operation of low-density polyethylene tubular reactors: Moving horizon estimation , 2009, Comput. Chem. Eng..

[20]  A. Farina,et al.  Estimation accuracy of a landing point of a ballistic target , 2002, Proceedings of the Fifth International Conference on Information Fusion. FUSION 2002. (IEEE Cat.No.02EX5997).