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Terminal Spacecraft Rendezvous and Capture with {LASSO} Model Predictive Control

Hartley E.N. and Gallieri M. and Maciejowski J.M.

Accepted for publication in International Journal of Control, 2013
DOI: 10.1080/00207179.2013.789608 (Corrected proofs returned to publisher, DOI not yet active)

Abstract

The recently investigated $\ell_{\mathrm{asso}}$ model predictive control (MPC) is applied to the terminal phase of a spacecraft rendezvous and capture mission. The interaction between the cost function and the treatment of minimum impulse bit (MIB) is also investigated. The propellant consumption with $\ell_{\mathrm{asso}}$ MPC for the considered scenario is noticeably less than with a conventional quadratic cost and control actions are sparser in time. Propellant consumption and sparsity are competitive with those achieved using a zone-based $\ell_1$ cost function, whilst requiring fewer decision variables in the optimisation problem than the latter. The $\ell_{\mathrm{asso}}$ MPC is demonstrated to meet tighter specifications on control precision, and also avoids the risk of undesirable behaviours often associated with pure $\ell_1$ stage costs.

BibTex Entry

@Article{,
author = {Hartley E.N. and Gallieri M. and Maciejowski J.M.},
journal = {Accepted for publication in International Journal of Control},
title = {Terminal Spacecraft Rendezvous and Capture with {LASSO} Model Predictive Control},
year = {2013},
note = {DOI: 10.1080/00207179.2013.789608 (Corrected proofs returned to publisher, DOI not yet active)}
}