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CIKAN: Constraint Informed Kolmogorov-Arnold Networks for Autonomous Spacecraft Rendezvous using Time Shift Governor

arXiv 2412.03710 ↗First posted 4 Dec 2024eess.SY cs.AI cs.LGcited by 0

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Abstract (arXiv)

The paper considers a Constrained-Informed Neural Network (CINN) approximation for the Time Shift Governor (TSG), which is an add-on scheme to the nominal closed-loop system used to enforce constraints by time-shifting the reference trajectory in spacecraft rendezvous applications. We incorporate Kolmogorov-Arnold Networks (KANs), an emerging architecture in the AI community, as a fundamental component of CINN and propose a Constrained-Informed Kolmogorov-Arnold Network (CIKAN)-based approximation for TSG. We demonstrate the effectiveness of the CIKAN-based TSG through simulations of constrained spacecraft rendezvous missions on highly elliptic orbits and present comparisons between CIKANs, MLP-based CINNs, and the conventional TSG.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 10 of its 22 references that are in the map. First posted on arXiv 4 Dec 2024.

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References · 10

  1. 2024KAN: Kolmogorov-Arnold Networkscited by 649
  2. 2024Kolmogorov-Arnold Networks are Radial Basis Function Networkscited by 128
  3. 2024A Survey on Kolmogorov-Arnold Networkcited by 68
  4. 2018Efficient representation and approximation of model predictive control laws via deep learningcited by 58
  5. 2019Large Scale Model Predictive Control with Neural Networks and Primal Active Setscited by 29
  6. 2024Kolmogorov-Arnold Network for Online Reinforcement Learningcited by 9
  7. 2022Neural Lyapunov Differentiable Predictive Controlcited by 7
  8. 2024HyperbolicLR: Epoch insensitive learning rate schedulercited by 3
  9. 2024KANtrol: A Physics-Informed Kolmogorov-Arnold Network Framework for Solving Multi-Dimensional and Fractional Optimal Control Problemscited by 3
  10. 2024Time Shift Governor for Constrained Control of Spacecraft Orbit and Attitude Relative Motion in Bicircular Restricted Four-Body Problemcited by 1

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