Earth–Moon L1 libration point orbit continuous stationkeeping control using time-varying LQR and backstepping

Morad Nazari, Eric A. Butcher, William Anthony

Research output: Contribution to journalArticle

Abstract

Different periodic-gain stationkeeping control strategies in Earth–Moon L1 libration point orbits are proposed based on continuous LQR control and Floquet theory. The strategies are based on time-periodic infinite horizon LQR and backstepping technique with time-invariant LQR. Furthermore, a dead-band periodic-gain controller is proposed to account for the limited lifespan of the thrusters. The proposed controllers are shown to be more fuel efficient than conventional feedback linearization for the same settling time envelope of the tracking error.

Original languageEnglish (US)
Pages (from-to)1089-1102
Number of pages14
JournalInternational Journal of Dynamics and Control
Volume5
Issue number4
DOIs
StatePublished - Dec 1 2017

Keywords

  • Backstepping
  • Deadband control
  • Floquet theory
  • Halo orbit stationkeeping
  • Time varying LQR

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Civil and Structural Engineering
  • Modeling and Simulation
  • Mechanical Engineering
  • Control and Optimization
  • Electrical and Electronic Engineering

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