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High order optimal control of space trajectories with uncertain boundary conditions

Di Lizia, P, Armellin, R, Bernelli-Zazzera, F and Berz, M (2014) High order optimal control of space trajectories with uncertain boundary conditions Acta Astronautica, 93. pp. 217-229.

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Abstract

A high order optimal control strategy is proposed in this work, based on the use of differential algebraic techniques. In the frame of orbital mechanics, differential algebra allows to represent, by high order Taylor polynomials, the dependency of the spacecraft state on initial conditions and environmental parameters. The resulting polynomials can be manipulated to obtain the high order expansion of the solution of two-point boundary value problems. Since the optimal control problem can be reduced to a two-point boundary value problem, differential algebra is used to compute the high order expansion of the solution of the optimal control problem about a reference trajectory. Whenever perturbations in the nominal conditions occur, new optimal control laws for perturbed initial and final states are obtained by the mere evaluation of polynomials. The performances of the method are assessed on lunar landing, rendezvous maneuvers, and a low-thrust Earth-Mars transfer.

Item Type: Article
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
NameEmailORCID
Di Lizia, PUNSPECIFIEDUNSPECIFIED
Armellin, RUNSPECIFIEDUNSPECIFIED
Bernelli-Zazzera, FUNSPECIFIEDUNSPECIFIED
Berz, MUNSPECIFIEDUNSPECIFIED
Date : January 2014
Identification Number : 10.1016/j.actaastro.2013.07.007
Copyright Disclaimer : © 2013 Published by IAA. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Uncontrolled Keywords : Optimal control, Space trajectories, High-order methods, Differential algebra, Uncertain boundary conditions
Depositing User : Symplectic Elements
Date Deposited : 29 Nov 2016 15:14
Last Modified : 31 Oct 2017 18:58
URI: http://epubs.surrey.ac.uk/id/eprint/812989

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