eess.SYOct 8, 2026

Distributionally Robust Adaptive Iterative Covariance Steering for Small-Body Proximity Operations

Authors: Vivek Khatana, Aditya Gahlawat, Naira Hovakimyan, Petros Voulgaris

Organizations: Department of Mechanical Science and Engineering, University of Illinois Urbana-Champaign, Urbana, IL, USA · Department of Mechanical Engineering, University of Nevada, Reno, NV, USA

Abstract

Autonomous small-body proximity operations require continuous-thrust guidance under uncertain gravity, solar-radiation pressure (SRP), and stochastic disturbances. We combine iterative covariance steering (iCS) with L1L_1 distributionally robust adaptive control (L1L_1-DRAC) to provide risk-aware collision avoidance despite mismatch between the nominal planning model and the true dynamics. Iterative covariance steering plans a nominal feedback policy satisfying distributionally robust conditional value-at-risk keep-out constraints, while L1L_1-DRAC compensates for dynamics uncertainty and bounds the residual distributional mismatch through a Wasserstein radius used by the planner. In 1000\mathbf{1000} paired Monte Carlo trials with gravity, SRP, and diffusion mismatch, L1L_1-DRAC adaptive control reduces the keep-out violation rate from 32.7%\mathbf{32.7\%} to 0.2%\mathbf{0.2\%} and the physical collision rate from 16.4%\mathbf{16.4\%} to zero, without actuator saturation.

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