Polynomial representation of model uncertainty in dynamical systems

Vasile, Massimiliano; (2019) Polynomial representation of model uncertainty in dynamical systems. In: Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences. Computational Methods in Applied Sciences . Springer, Cham, Switzerland, pp. 419-432. ISBN 9783319899862 (https://doi.org/10.1007/978-3-319-89988-6_25)

[thumbnail of Vasile-CMAS-2019-Polynomial-representation-of-model-uncertainty-in-dynamical-systems]
Preview
Text. Filename: Vasile_CMAS_2019_Polynomial_representation_of_model_uncertainty_in_dynamical_systems.pdf
Accepted Author Manuscript

Download (269kB)| Preview

Abstract

This chapter introduces an approach to capture unmodelled components in dynamical systems through a hierarchical polynomial expansion in the state space. This approach is reminiscent of the empirical acceleration approach commonly used in precise orbit determination to account for unmodelled components in the force model.