Model predictive control for formation reconfiguration exploiting quasi-periodic tori in the cislunar environment

Capannolo, Andrea; Zanotti, Giovanni; Lavagna, Michèle; Cataldo, G. Di

doi:10.1007/s11071-022-08214-8

Cited by 5 publications

(2 citation statements)

References 28 publications

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“…Finally, the continuation is typically performed through perturbations of the previous solution along tangent direction of the family. More details about the development of QPT families can be found in [12,13,25,26].…”

Section: Quasi Periodic Torimentioning

confidence: 99%

“…Previous work demonstrated the relatively low cost of impulsive reconfiguration maneuvers leveraging phase targeting on the toroidal surface, thanks also to the symmetry properties of QPT [26]. Figure 3 depicts optimal impulsive reconfiguration costs to ensure a 180°phase shift, given a ToF of 48 h (compatibly with manned operations for approaching the Lunar Gateway), on the operative torus described in Section 2.3.…”

Section: On-board Controller Designmentioning

confidence: 99%

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Model Predictive Control for formation reconfiguration exploiting quasi-periodic tori in the cislunar environment

Capannolo

Zanotti

Lavagna

et al. 2022

Preprint

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Given the numerous possibilities that formation flying space missions can enable, being able to design and govern relative trajectories in this scenario is fundamental. Particularly interesting, due to the installation and operation of the Lunar Gateway, which will represent the next human outpost in the cislunar environment, will be the exploitation of formation flying missions in the vicinity of this lunar station. The nonlinear dynamics by which the Earth-Moon system is characterised offers the possibility to find bounded relative trajectories which can be used to design the formation. In order to best exploit the formation potential, some reconfiguration manoeuvres can be used, which by changing the relative geometry can increase the versatility and adaptation of the mission. In this paper, a Model Predictive Guidance and Control strategy is proposed and applied to perform rephasing manoeuvres in the harsh environment of the Near Rectilinear Halo Orbits. By including first a limited thrust constraint and then a collision avoidance, a more mission-oriented approach is provided to the system. To further increase the robustness of the on-board algorithms, an adaptive logic is provided to the different tuning weights involved in the Model Predictive Control scheme. In this way, a more flexible system is obtained, which is capable of optimally working also in the presence of a high-fidelity simulation scenario, including discrepancies with the simplified on-board dynamical model.

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Section: Quasi Periodic Torimentioning

confidence: 99%

Section: On-board Controller Designmentioning

confidence: 99%

Model Predictive Control for formation reconfiguration exploiting quasi-periodic tori in the cislunar environment

Capannolo

Zanotti

Lavagna

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

RLV integrated guidance and control based on adaptive high-order sliding mode

Tian

Zhang

2023

Nonlinear Dyn

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Koopman operator-based multi-model for predictive control

Ławryńczuk

2024

Nonlinear Dyn

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This work describes a new model structure developed for prediction in Model Predictive Control (MPC). The model has a multi-model structure in which independent sub-models are employed for the consecutive sampling instants. The model lifts process states into a high-dimensional space in which a linear process description is applied. Depending on the influence of the manipulated variables on lifted states, three general model versions are described and model identification algorithms are derived. As a result of the multi-model structure, model parameters are found analytically from computationally uncomplicated least squares problems using the Extended Dynamic Mode Decomposition algorithm, but the evolution of states over the horizon used in MPC is taken into account. Next, the MPC algorithm for the described model is derived. It requires solving online simple quadratic optimisation tasks. The effectiveness of three considered model configurations and three versions of the lifting functions is examined for a nonlinear DC motor benchmark. Their impact on model accuracy, complexity, possible control accuracy and MPC calculation time is thoroughly discussed. Finally, a more complex polymerisation reactor process is considered to showcase the practical applicability of the presented approach to modelling and MPC.

show abstract

Model predictive control for formation reconfiguration exploiting quasi-periodic tori in the cislunar environment

Abstract: Article Titlethis way, a more flexible system is obtained, which is capable of optimally working also in the presence of a high-fidelity simulation scenario, including discrepancies with the simplified on-board dynamical model.

Cited by 5 publications

References 28 publications

Model Predictive Control for formation reconfiguration exploiting quasi-periodic tori in the cislunar environment

Model Predictive Control for formation reconfiguration exploiting quasi-periodic tori in the cislunar environment

RLV integrated guidance and control based on adaptive high-order sliding mode

Koopman operator-based multi-model for predictive control

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