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Related papers: A Data-Driven Approach for Inverse Optimal Control

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Data-driven transformations that reformulate nonlinear systems in a linear framework have the potential to enable the prediction, estimation, and control of strongly nonlinear dynamics using linear systems theory. The Koopman operator has…

Optimization and Control · Mathematics 2021-02-11 Eurika Kaiser , J. Nathan Kutz , Steven L. Brunton

In this paper, we propose an online learning-based predictive control (LPC) approach designed for nonlinear systems that lack explicit system dynamics. Unlike traditional model predictive control (MPC) algorithms that rely on known system…

Optimization and Control · Mathematics 2025-03-17 Yuanqing Zhang , Huanshui Zhang

This paper proposes a data-driven control framework to regulate an unknown, stochastic linear dynamical system to the solution of a (stochastic) convex optimization problem. Despite the centrality of this problem, most of the available…

Optimization and Control · Mathematics 2021-08-31 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

This paper extends the Willems' Fundamental Lemma to nonlinear control-affine systems using the Koopman bilinear realization. This enables us to bypass the Extended Dynamic Mode Decomposition (EDMD)-based system identification step in…

Optimization and Control · Mathematics 2025-05-07 Zuxun Xiong , Zhenyi Yuan , Keyan Miao , Han Wang , Jorge Cortes , Antonis Papachristodoulou

Koopman operators provide a linear framework for data-driven analyses of nonlinear dynamical systems, but their infinite-dimensional nature presents major computational challenges. In this article, we offer an introductory guide to Koopman…

Numerical Analysis · Mathematics 2025-10-28 Matthew J. Colbrook , Zlatko Drmač , Andrew Horning

Maximum Causal Entropy (MCE) Inverse Optimal Control (IOC) has become an effective tool for modelling human behaviour in many control tasks. Its advantage over classic techniques for estimating human policies is the transferability of the…

Systems and Control · Computer Science 2016-07-20 Felix Schmitt , Hans-Joachim Bieg , Dietrich Manstetten , Michael Herman , Rainer Stiefelhagen

Koopman liftings have been successfully used to learn high dimensional linear approximations for autonomous systems for prediction purposes, or for control systems for leveraging linear control techniques to control nonlinear dynamics. In…

Systems and Control · Electrical Eng. & Systems 2023-06-16 Haldun Balim , Antoine Aspeel , Zexiang Liu , Necmiye Ozay

Iterative learning control (ILC) is a control strategy for repetitive tasks wherein information from previous runs is leveraged to improve future performance. Optimization-based ILC (OB-ILC) is a powerful design framework for constrained…

Systems and Control · Electrical Eng. & Systems 2022-05-27 Dominic Liao-McPherson , Efe C. Balta , Alisa Rupenyan , John Lygeros

This paper studies the stochastic optimal control problem for systems with unknown dynamics. A novel decoupled data based control (D2C) approach is proposed, which solves the problem in a decoupled "open loop-closed loop" fashion that is…

Systems and Control · Computer Science 2018-09-11 Dan Yu , Mohammandhussen Rafieisakhaei , Suman Chakravorty

This paper addresses the inverse optimal control for the linear quadratic tracking problem with a fixed but unknown target state, which aims to estimate the possible triplets comprising the target state, the state weight matrix, and the…

Systems and Control · Electrical Eng. & Systems 2026-01-14 Yao Li , Chengpu Yu , Hao Fang , Jie Chen

This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

Robotics · Computer Science 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

World models learn the consequences of actions in vision-based interactive systems. However, in practical scenarios such as autonomous driving, there commonly exists noncontrollable dynamics independent of the action signals, making it…

Machine Learning · Computer Science 2022-12-20 Minting Pan , Xiangming Zhu , Yunbo Wang , Xiaokang Yang

This paper addresses the problem of online inverse reinforcement learning for systems with limited data and uncertain dynamics. In the developed approach, the state and control trajectories are recorded online by observing an agent perform…

Systems and Control · Electrical Eng. & Systems 2020-08-21 Ryan Self , S M Nahid Mahmud , Katrine Hareland , Rushikesh Kamalapurkar

This paper considers the problem of determining an optimal control action based on observed data. We formulate the problem assuming that the system can be modelled by a nonlinear state-space model, but where the model parameters, state and…

Optimization and Control · Mathematics 2021-07-02 Johannes N. Hendriks , James R. Z. Holdsworth , Adrian G. Wills , Thomas B. Schon , Brett Ninness

The path-integral control, which stems from the stochastic Hamilton-Jacobi-Bellman equation, is one of the methods to control stochastic nonlinear systems. This paper gives a new insight into nonlinear stochastic optimal control problems…

Optimization and Control · Mathematics 2021-09-14 Jun Ohkubo

This paper is concerned with a finite-horizon inverse control problem, which has the goal of reconstructing, from observations, the possibly non-convex and non-stationary cost driving the actions of an agent. In this context, we present a…

Optimization and Control · Mathematics 2024-06-27 Emiland Garrabe , Hozefa Jesawada , Carmen Del Vecchio , Giovanni Russo

This paper presents a distributed Koopman operator learning framework for modeling unknown nonlinear dynamics using sequential observations from multiple agents. Each agent estimates a local Koopman approximation based on lifted data and…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Ali Azarbahram , Shenyu Liu , Gian Paolo Incremona

Deep learning is revolutionizing weather forecasting, with new data-driven models achieving accuracy on par with operational physical models for medium-term predictions. However, these models often lack interpretability, making their…

Machine Learning · Computer Science 2024-09-11 David Millard , Arielle Carr , Stéphane Gaudreault

Highly dynamic tasks that require large accelerations and precise tracking usually rely on accurate models and/or high gain feedback. While kinematic optimization allows for efficient representation and online generation of hitting…

Robotics · Computer Science 2019-03-19 Okan Koc , Guilherme Maeda , Jan Peters

Over the past decades, the Koopman operator has been widely applied in data-driven control, yet its theoretical foundations remain underexplored. This paper establishes a unified framework to address the robust stabilization problem in…

Systems and Control · Electrical Eng. & Systems 2025-08-18 Yicheng Lin , Bingxian Wu , Nan Bai , Zhiyong Sun , Yunxiao Ren , Chuanze Chen , Zhisheng Duan