Machine Learning for Sparse Nonlinear Modeling and Control

SL Brunton, N Zolman, JN Kutz… - Annual Review of Control …, 2025 - annualreviews.org
Machine learning is rapidly advancing nearly every field of science and engineering, and
control theory is no exception. In particular, it has shown incredible promise for handling …

AI Pontryagin or how artificial neural networks learn to control dynamical systems

L Böttcher, N Antulov-Fantulin, T Asikis - Nature communications, 2022 - nature.com
The efficient control of complex dynamical systems has many applications in the natural and
applied sciences. In most real-world control problems, both control energy and cost …

Vehicular applications of koopman operator theory—a survey

WA Manzoor, S Rawashdeh, A Mohammadi - IEEE Access, 2023 - ieeexplore.ieee.org
Koopman operator theory has proven to be a promising approach to nonlinear system
identification and global linearization. For nearly a century, there had been no efficient …

Difftune: Auto-tuning through auto-differentiation

S Cheng, M Kim, L Song, C Yang, Y **… - IEEE Transactions …, 2024 - ieeexplore.ieee.org
The performance of robots in high-level tasks depends on the quality of their lower level
controller, which requires fine-tuning. However, the intrinsically nonlinear dynamics and …

Imperative learning: A self-supervised neural-symbolic learning framework for robot autonomy

C Wang, K Ji, J Geng, Z Ren, T Fu, F Yang… - arxiv preprint arxiv …, 2024 - arxiv.org
Data-driven methods such as reinforcement and imitation learning have achieved
remarkable success in robot autonomy. However, their data-centric nature still hinders them …

Revisiting implicit differentiation for learning problems in optimal control

M Xu, TL Molloy, S Gould - Advances in Neural Information …, 2024 - proceedings.neurips.cc
This paper proposes a new method for differentiating through optimal trajectories arising
from non-convex, constrained discrete-time optimal control (COC) problems using the …

Safe pontryagin differentiable programming

W **, S Mou, GJ Pappas - Advances in Neural Information …, 2021 - proceedings.neurips.cc
Abstract We propose a Safe Pontryagin Differentiable Programming (Safe PDP)
methodology, which establishes a theoretical and algorithmic framework to solve a broad …

CALIPSO: A differentiable solver for trajectory optimization with conic and complementarity constraints

TA Howell, K Tracy, S Le Cleac'h… - … Symposium of Robotics …, 2022 - Springer
We present a new solver for non-convex trajectory optimization problems that is specialized
for robotics applications. CALIPSO, or the Conic Augmented Lagrangian Interior-Point …

Differentiable bilevel programming for stackelberg congestion games

J Li, J Yu, Q Wang, B Liu, Z Wang, YM Nie - arxiv preprint arxiv …, 2022 - arxiv.org
A Stackelberg congestion game (SCG) is a bilevel program in which a leader aims to
maximize their own gain by anticipating and manipulating the equilibrium state at which …

Task-driven hybrid model reduction for dexterous manipulation

W **, M Posa - IEEE Transactions on Robotics, 2024 - ieeexplore.ieee.org
In contact-rich tasks, like dexterous manipulation, the hybrid nature of making and breaking
contact creates challenges for model representation and control. For example, choosing and …