Near-optimal guidance and control for spacecraft collision avoidance maneuvers

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)


This study presents a semi-analytic and sub-optimal guidance/control for a controlled/active spacecraft to avoid collision with other free/inactive space objects. The collision avoidance problem is formulated as a typical optimal feedback control problem with a penalty term incorporated into the performance index. The penalty function is designed such that its value increases sharply as a spacecraft approaches other space objects. The Pontryagin's principle is used to form a two point boundary value problem for a standard Hamiltonian system, whose solution is obtained in terms of the generating functions which appear in the theory of canonical transformation. The resultant algorithm allows one to develop near-optimal guidance/control laws as truncated power series in feedback form and generate near-optimal trajectories without any initial guess or iterative process. This procedural advantage over typical direct optimization approaches comes at the expense of reasonable efforts of developing higher-order generating functions and empirically updating the design parameters of penalty function. Numerical examples demonstrate that the proposed algorithm successfully accomplishes collision avoidance by appropriately detouring other space objects or forbidden regions.

Original languageEnglish
Title of host publicationAIAA/AAS Astrodynamics Specialist Conference 2014
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781624103087
Publication statusPublished - 2014 Jan 1
EventAIAA/AAS Astrodynamics Specialist Conference 2014 - San Diego, CA, United States
Duration: 2014 Aug 42014 Aug 7

Publication series

NameAIAA/AAS Astrodynamics Specialist Conference 2014


OtherAIAA/AAS Astrodynamics Specialist Conference 2014
Country/TerritoryUnited States
CitySan Diego, CA

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Astronomy and Astrophysics


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