Uncertainty analysis for return trajectory of vertical takeoff and vertical landing reusable launch vehicle
type: Item
instance of: scholarly article
title: Uncertainty analysis for return trajectory of vertical takeoff and vertical landing reusable launch vehicle
zbMATH Open document ID: 1459.62230
DOI: 10.1155/2020/4313758
author: Jian Zhao
author: Xiangyue He
author: Yuechen Huang
author: Jianghui Liu
author: Hai-Yang Li
published in: Mathematical Problems in Engineering
publication date: 2020-07-23T00:00:00Z
review text: Summary: The uncertainties during the return trajectory of vertical takeoff and vertical landing reusable launch vehicle weaken the ability of precision landing and make the return process more challenging. This paper is devoted to quantifying the probability uncertainty of return trajectory with uncertain parameters. The uncertainty model of return multi-flight-phase under the uncertainties of initial flight path angle, axial aerodynamic coefficient, and atmospheric density is established using the generalized polynomial chaos expansion method. By parameterizing random uncertainties and introducing random parameters into the uncertainty model, the uncertainty analysis problem of return trajectory is transformed into stochastic trajectory approximation problem. The coefficients of the polynomial basis function are solved by the stochastic collocation method. Then state solutions, statistical properties, and global sensitivity with Sobol index are established based on coefficients. The simulation results show the efficiency and accuracy of this method compared with the Monte Carlo method, the evolution process of main output parameters under random parameters, and relative importance for random parameters. Through the uncertainty analysis of the return trajectory, the robustness of return trajectory can be quantified, which is contributed to improving the safety, reliability, and robustness of recovery and landing mission.
Mathematics Subject Classification ID: 62P30
Mathematics Subject Classification ID: 70P05
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 7224365
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/4313758
OpenAlex ID: W3041712232
cites work: On-line robust trajectory generation on approach and landing for reusable launch vehicles
cites work: The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
cites work: Spectral Methods for Uncertainty Quantification
description: scientific article; zbMATH DE number 7224365