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Analytic optimal control for multi-satellite assembly using linearized twistor-based model.

Authors :
Atallah, Mohammed
Okasha, Mohamed
Abdelkhalik, Ossama
Source :
Advances in Space Research. Nov2024, Vol. 74 Issue 10, p5142-5155. 14p.
Publication Year :
2024

Abstract

This paper presents Guidance and Control (G&C) systems for multi-satellite assembly in proximity operations. The systems utilize the twistor model, which is linearized through Taylor's series. Decentralized control laws, designed using Linear Quadratic Regulator (LQR) and Model Predictive Control (MPC), are employed to track an energy-optimal trajectory generated using the Hamiltonian approach. Data exchange between satellites and their neighbors is represented using graph theory. The decentralized MPC framework is implemented using the CasADi package. To ensure collision avoidance between the satellites, a repulsive control law is designed, considering symmetric input saturation in the actuators. The proposed G&C systems are tested using a high-fidelity nonlinear satellite relative motion model that incorporates orbital perturbations. Numerical simulations are performed in a MATLAB® environment, and the results are visualized using STK®. Furthermore, a comparative study is conducted to evaluate tracking performance and fuel consumption between the two control methods. The results demonstrate that the use of an optimal trajectory reduces fuel consumption for both control algorithms. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02731177
Volume :
74
Issue :
10
Database :
Academic Search Index
Journal :
Advances in Space Research
Publication Type :
Academic Journal
Accession number :
180560933
Full Text :
https://doi.org/10.1016/j.asr.2024.08.072