Sensitivity analysis and probabilistic re-entry modeling for debris using high dimensional model representation based uncertainty treatment

Satellite Re-entry Modeling and Uncertainty Quantification

LEO trajectory modeling is a fundamental aerospace capability and has applications in many areas of aerospace, such as maneuver planning, sensor scheduling, re-entry prediction, collision avoidance, risk analysis, and formation flying. Somewhat surprisingly, modeling the trajectory of an object in low Earth orbit is still a challenging task. This is primarily due to the large uncertainty in the...

Design of Experiment in Global Sensitivity Analysis Based on ANOVA High-Dimensional Model Representation

Sensitivity computation for uncertain dynamical systems using high-dimensional model representation and hierarchical grids

Global sensitivity analysis is an important tool for uncertainty analysis of systems with uncertain model parameters. A general framework for the determination of sensitivity measures for fuzzy uncertainty analysis is presented. The derivation is founded on the high-dimensional model representation, which provides a common basis with Sobol indices, illustrating the similarities and di erences o...

High dimensional model representation

Abstrakt: In practical applications of the control theory, there is lack of approximation techniques applicable to intractable dynamic-programming equations describing the optimality controller. In the paper, we consider use of the technique coming from chemistry and called high dimensional model representation (HDMR). Its main advantages are finite order of expansion and rapid convergence for ...

Mathematical Modeling for Volatile Organic Compounds Removal in a Biofilter: Model Validation and Sensitivity Analysis