arXiv Machine Learning By Anutam Srinivasan, Siddhant Panse, Glen Chou

Planning to Learn: Real-Time Robust Adaptive Control on the GPU with Guaranteed Future Learning

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The paper introduces A‑SLS, a learning‑aware robust adaptive model predictive control framework that forecasts future parameter uncertainty and preserves correlations among disturbances, parameter errors, and estimate updates to build tight reachable sets. It presents a GPU‑accelerated solver enabling real‑time performance on high‑dimensional systems, demonstrated on a quadruped with 61 states and a Crazyflie drone that learns dynamics online to stabilize during flight.

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arXiv Machine Learning
Sep 10

A robust and adaptive MPC formulation for Gaussian process models

The paper introduces a robust and adaptive model predictive control framework for uncertain nonlinear systems with bounded disturbances and unmodeled nonlinearities, leveraging Gaussian Processes to learn dynamics from noisy measurements. It derives robust predictions for GP models using contraction metrics, integrating them into the MPC formulation to ensure recursive feasibility, robust constraint satisfaction, and convergence to a reference state with high probability. A numerical example involving a planar quadrotor experiencing challenging ground effects demonstrates significant performance gains from the robust prediction method and online learning.

By Mathieu Dubied, Amon Lahr, Melanie N. Zeilinger, Johannes K\"ohler