バイナリスラスタのための混合整数モデル予測制御と連続モデル予測制御の比較研究
Mixed-Integer vs. Continuous Model Predictive Control for Binary Thrusters: A Comparative Study
宇宙機の近接運用で使われるオン/オフ型スラスタの制御について、混合整数最適化として直接解く手法と、連続制御出力を変調する2層手法を初めて体系的に比較し、変調器の状態を考慮した新しいMPCも提案した。
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著者: Franek Stark, Jakob Middelberg, Shubham Vyas
分類: eess.SY, cs.RO, cs.SY
原文アブストラクト
Binary on/off thrusters are commonly used for spacecraft attitude and position control during proximity operations. However, their discrete nature poses challenges for conventional continuous control methods. The control of these discrete actuators is either explicitly formulated as a mixed-integer optimization problem or handled in a two-layer approach, where a continuous controller's output is converted to binary commands using analog-to digital modulation techniques such as Delta-Sigma-modulation. This paper provides the first systematic comparison between these two paradigms for binary thruster control, contrasting continuous Model Predictive Control (MPC) with Delta-Sigma modulation against direct Mixed-Integer MPC (MIMPC) approaches. Furthermore, we propose a new variant of MPC for binary actuated systems, which is informed using the state of the Delta-Sigma Modulator. The two variations for the continuous MPC along with the MIMPC are evaluated through extensive simulations using ESA's REACSA platform. Results demonstrate that while all approaches perform similarly in high-thrust regimes, MIMPC achieves superior fuel efficiency in low-thrust conditions. Continuous MPC with modulation shows instabilities at higher thrust levels, while binary informed MPC, which incorporates modulator dynamics, improves robustness and reduces the efficiency gap to the MIMPC. It can be seen from the simulated and real-system experiments that MIMPC offers complete stability and fuel efficiency benefits, particularly for resource-constrained missions, while continuous control methods remain attractive for computationally limited applications.
