---
_id: '21592'
abstract:
- lang: eng
  text: We propose a reachability approach for infinite and finite horizon multi-objective
    optimization problems for low-thrust spacecraft trajectory design. The main advantage
    of the proposed method is that the Pareto front can be efficiently constructed
    from the zero level set of the solution to a Hamilton-Jacobi-Bellman equation.
    We demonstrate the proposed method by applying it to a low-thrust spacecraft trajectory
    design problem. By deriving the analytic expression for the Hamiltonian and the
    optimal control policy, we are able to efficiently compute the backward reachable
    set and reconstruct the optimal trajectories. Furthermore, we show that any reconstructed
    trajectory will be guaranteed to be weakly Pareto optimal. The proposed method
    can be used as a benchmark for future research of applying reachability analysis
    to low-thrust spacecraft trajectory design.
author:
- first_name: Nikolaus
  full_name: Vertovec, Nikolaus
  id: '87056'
  last_name: Vertovec
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: Kostas
  full_name: Margellos, Kostas
  last_name: Margellos
citation:
  ama: 'Vertovec N, Ober-Blöbaum S, Margellos K. Multi-objective minimum time optimal
    control for low-thrust trajectory design. In: ; :1975-1980.'
  apa: Vertovec, N., Ober-Blöbaum, S., &#38; Margellos, K. (n.d.). <i>Multi-objective
    minimum time optimal control for low-thrust trajectory design</i>. 1975–1980.
  bibtex: '@inproceedings{Vertovec_Ober-Blöbaum_Margellos, title={Multi-objective
    minimum time optimal control for low-thrust trajectory design}, author={Vertovec,
    Nikolaus and Ober-Blöbaum, Sina and Margellos, Kostas}, pages={1975–1980} }'
  chicago: Vertovec, Nikolaus, Sina Ober-Blöbaum, and Kostas Margellos. “Multi-Objective
    Minimum Time Optimal Control for Low-Thrust Trajectory Design,” 1975–80, n.d.
  ieee: N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Multi-objective minimum time
    optimal control for low-thrust trajectory design,” Rotterdam, the Netherlands,
    pp. 1975–1980.
  mla: Vertovec, Nikolaus, et al. <i>Multi-Objective Minimum Time Optimal Control
    for Low-Thrust Trajectory Design</i>. pp. 1975–80.
  short: 'N. Vertovec, S. Ober-Blöbaum, K. Margellos, in: n.d., pp. 1975–1980.'
conference:
  end_date: 2021-07-02
  location: Rotterdam, the Netherlands
  name: 2021 European Control Conference (ECC)
  start_date: 2021-06-29
date_created: 2021-04-03T03:00:35Z
date_updated: 2023-11-29T10:26:49Z
department:
- _id: '636'
external_id:
  arxiv:
  - '2103.08813'
language:
- iso: eng
page: 1975-1980
publication_status: accepted
status: public
title: Multi-objective minimum time optimal control for low-thrust trajectory design
type: conference
user_id: '15694'
year: '2021'
...