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CEAS EuroGNC 2019

Optimal de-tumbling of spacecraft with four thrusters

James D. Biggs Department of Aerospace Science and Technology, Politecnico di Milano, Milano, Italy
Hugo Fournier Department of Aerospace Science and Technology, Politecnico di Milano, Milano, Italy
Simone Ceccherini
Francesco Topputo
Abstract:
Motivated by a drive towards spacecraft miniaturisation and the desire to undertake more complex missions in deep-space, this paper tackles the problem of de-tumbling spacecraft using a minimal number of attitude thrusters. The control problem addressed is to drive high tip-off angular velocity rates that result from imperfect orbit injection to within a required tolerance using only the on-off switching of 4 thrusters. This paper presents three possible control solutions to this problem (i) a logic-based controller that is simple to implement and requires no tuning (ii) a projective control that aims to replicate an ideal continuous control as closely as possible with the available torques and (iii) a Neural-network-based Predictive Control (NNPC) that is adapted to nonlinear control systems with boolean inputs. The NNPC is based on a Recurrent Neural Network(RNN) using a Nonlinear Auto Regressive exogenous configuration for time propagation of the state in a finite-time horizon optimization. Commonly, for continuous systems, a back-propagation algorithm for the receding horizon optimization is used, but this is not applicable to systems with discrete inputs and so is replaced by a genetic algorithm. In addition a Multi-Layer Perceptron (MLP) is trained off-line with optimal control data obtained with the NNPC resulting in an optimal control that can be implemented on-line with a significantly reduced on-board computational cost. The NNPC performance is compared to the proposed logic-based and projective de-tumbling control laws in simulation of a 12 U CubeSat and is shown to be the most efficient in terms of total impulse requirement.
Keywords: Nonlinear control; Optimal control; Spacecraft attitude control
View PDFCEAS-GNC-2019-051


James D. Biggs, Hugo Fournier, Simone Ceccherini, Francesco Topputo: Optimal de-tumbling of spacecraft with four thrusters. Proceedings of the 2019 CEAS EuroGNC conference. Milan, Italy. April 2019. CEAS-GNC-2019-051.
BibTeX entry:

@Incollection{CEAS-GNC-2019-051,
    authors = {Biggs, James D. and Fournier, Hugo and Ceccherini, Simone and Topputo, Francesco},
    title = {Optimal de-tumbling of spacecraft with four thrusters},
    booktitle = {Proceedings of the 2019 {CEAS EuroGNC} conference},
    address = {Milan, Italy},
    month = apr,
    year = {2019},
    note = {CEAS-GNC-2019-051}
}