Formation flying along a circular orbit with control constraints

Mai Bando, Akira Ichikawa

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


In this paper, leader-follower formation flying problems based on the periodic orbits of the Hill-Clohessy-Wiltshire equations are considered. For a given final relative orbit, the admissible controls are feedback controls such that the follower tracks the final orbit asymptotically. The main performance index is the L1-norm of the control input which is proportional to the fuel consumption. The L-norm, which gives the magnitude of the input, is an additional performance index under the thruster level limitation. Feedback controls are designed via two algebraic Riccati equations with parameters, and their L1- and L- norms are given as functions of the parameters. Suboptimal controls are designed by choosing appropriate parameters. Simulation results for a reconfiguration problem are given to demonstrate the effectiveness of the design method.

Original languageEnglish
Title of host publicationASTRODYNAMICS 2011 - Advances in the Astronautical Sciences
Subtitle of host publicationProceedings of the AAS/AIAA Astrodynamics Specialist Conference
Number of pages14
Publication statusPublished - 2012
Externally publishedYes
Event2011 AAS/AIAA Astrodynamics Specialist Conference, ASTRODYNAMICS 2011 - Girdwood, AK, United States
Duration: Jul 31 2011Aug 4 2011

Publication series

NameAdvances in the Astronautical Sciences
ISSN (Print)0065-3438


Other2011 AAS/AIAA Astrodynamics Specialist Conference, ASTRODYNAMICS 2011
Country/TerritoryUnited States
CityGirdwood, AK

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science


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