TY - JOUR
T1 - Robust control of the circular restricted three-body problem with drag
AU - Limebeer, David J.N.
AU - Sabatta, Deon
N1 - Publisher Copyright:
© 2020, © 2020 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2020
Y1 - 2020
N2 - The robust control of a satellite in a three-dimensional ‘halo’ obit is studied. These orbits focus typically on regions of space close to one of the three collinear Lagrange points. In most cases these orbits are unstable, with the flight dynamics further complicated by drag effects. In order to introduce simultaneously a quantifiable robust stability margin, as well as maintain a pre-selected orbit, a two-degree-of-freedom control strategy is proposed. The control is based on a time-periodic (Formula presented.) state feedback law, and a time-periodic feed-forward preview signal that is based on an estimate of the drag influence. The feedback control stabilises the orbit and introduces a robustness margin. By anticipating and compensating for drag effects, the feed-forward control produces improved station keeping (the maintenance of a design orbit). The efficacy of these ideas is demonstrated by simulation results that are based on a Circular Restricted Thee-Body Problem (CRTBP) model. The feedback control is characterised by the solution of a time-periodic (Formula presented.) control Riccati equation. The feed-forward control comes from the solution of a linear time-periodic equation, solved backwards in time, that is driven by a disturbance estimate.
AB - The robust control of a satellite in a three-dimensional ‘halo’ obit is studied. These orbits focus typically on regions of space close to one of the three collinear Lagrange points. In most cases these orbits are unstable, with the flight dynamics further complicated by drag effects. In order to introduce simultaneously a quantifiable robust stability margin, as well as maintain a pre-selected orbit, a two-degree-of-freedom control strategy is proposed. The control is based on a time-periodic (Formula presented.) state feedback law, and a time-periodic feed-forward preview signal that is based on an estimate of the drag influence. The feedback control stabilises the orbit and introduces a robustness margin. By anticipating and compensating for drag effects, the feed-forward control produces improved station keeping (the maintenance of a design orbit). The efficacy of these ideas is demonstrated by simulation results that are based on a Circular Restricted Thee-Body Problem (CRTBP) model. The feedback control is characterised by the solution of a time-periodic (Formula presented.) control Riccati equation. The feed-forward control comes from the solution of a linear time-periodic equation, solved backwards in time, that is driven by a disturbance estimate.
UR - http://www.scopus.com/inward/record.url?scp=85088314405&partnerID=8YFLogxK
U2 - 10.1080/00207179.2020.1798510
DO - 10.1080/00207179.2020.1798510
M3 - Article
AN - SCOPUS:85088314405
SN - 0020-7179
SP - 1
EP - 22
JO - International Journal of Control
JF - International Journal of Control
ER -