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Feasible-Orbit-Set Generation for Launch Vehicles

  • Beihang University
  • Beijing Aerospace Automatic Control Institute

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper we present a real-time feasible-orbit-set generation algorithm for the launch vehicle. The feasible-orbit-set is obtained by solving its max-volume inscribed polyhedron. In order to calculate the boundary points of the feasible-orbit-set, a series of optimal control problems are formulated, which include maximizing the position and velocity along the specified direction in the orbital plane. To solve this problem in real-time, the thrust direction equality constraint is convexified by the lossless relaxation technique and the terminal orbital terminal constraint is linearized, establishing standard second-order cone programming problems. An iterative second-order cone programming algorithm is designed to solve the original four-type nonlinear optimal control problems. The algorithm has stable convergency that is practically independent of the initial guess. The result of the ISOCP is given, which shows that ISOCP works well in optimality and convergency. The result of the feasible-orbit-set generation algorithm is also given, showing that the algorithm is efficient and reliable.

Original languageEnglish
Title of host publicationAdvances in Guidance, Navigation and Control - Proceedings of 2020 International Conference on Guidance, Navigation and Control, ICGNC 2020
EditorsLiang Yan, Haibin Duan, Xiang Yu
PublisherSpringer Science and Business Media Deutschland GmbH
Pages3475-3486
Number of pages12
ISBN (Print)9789811581540
DOIs
StatePublished - 2022
EventInternational Conference on Guidance, Navigation and Control, ICGNC 2020 - Tianjin, China
Duration: 23 Oct 202025 Oct 2020

Publication series

NameLecture Notes in Electrical Engineering
Volume644 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

ConferenceInternational Conference on Guidance, Navigation and Control, ICGNC 2020
Country/TerritoryChina
CityTianjin
Period23/10/2025/10/20

Keywords

  • Feasible-orbit-set
  • Optimal control
  • Second-Order cone programming

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