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This paper proposes a novel approach for modeling and controlling nonlinear systems with varying parameters. The approach introduces the use of a parameter-varying Koopman operator (PVKO) in a lifted space, which provides an efficient way…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Changyu Lee , Kiyong Park , Jinwhan Kim

By means of the linear parameter-varying (LPV) Fundamental Lemma, we derive novel data-driven predictive control (DPC) methods for LPV systems. In particular, we present output-feedback and state-feedback-based LPV-DPC methods with terminal…

Systems and Control · Electrical Eng. & Systems 2026-02-26 Chris Verhoek , Julian Berberich , Sofie Haesaert , Roland Tóth , Hossam S. Abbas

Model-based methods have recently shown great potential for off-policy evaluation (OPE); offline trajectories induced by behavioral policies are fitted to transitions of Markov decision processes (MDPs), which are used to rollout simulated…

Machine Learning · Computer Science 2023-02-06 Qitong Gao , Ge Gao , Min Chi , Miroslav Pajic

In this paper, a multi-objective model-following control problem is solved using an observer-based adaptive learning scheme. The overall goal is to regulate the model-following error dynamics along with optimizing the dynamic variables of a…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Mohammed I. Abouheaf , Kyriakos G. Vamvoudakis , Mohammad A. Mayyas , Hashim A. Hashim

Estimating the parameters of nonlinear block-oriented state-space models from input-output data typically involves solving a highly non-convex optimization problem, which is prone to poor local minima and slow convergence. This paper…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Merijn Floren , Jean-Philippe Noël , Jan Swevers

Out-of-distribution (OOD) scenarios in autonomous driving pose critical challenges, as planners often fail to generalize beyond their training experience, leading to unsafe or unexpected behavior. Vision-Language Models (VLMs) have shown…

Robotics · Computer Science 2025-08-21 Hayeon Oh

We propose a technique for reformulation of state and parameter estimation problems as that of matching explicitly computable definite integrals with known kernels to data. The technique applies for a class of systems of nonlinear ordinary…

Optimization and Control · Mathematics 2013-09-11 I. Yu. Tyukin , A. N. Gorban

Reinforcement learning has shown great potential in developing high-level autonomous driving. However, for high-dimensional tasks, current RL methods suffer from low data efficiency and oscillation in the training process. This paper…

Machine Learning · Computer Science 2021-02-17 Yuhang Zhang , Yao Mu , Yujie Yang , Yang Guan , Shengbo Eben Li , Qi Sun , Jianyu Chen

We present a novel framework for learning cost-efficient latent representations in problems with high-dimensional state spaces through nonlinear dimension reduction. By enriching linear state approximations with low-order polynomial terms…

Numerical Analysis · Mathematics 2026-05-27 Rudy Geelen , Laura Balzano , Karen Willcox

Identifying a linear system model from data has wide applications in control theory. The existing work on finite sample analysis for linear system identification typically uses data from a single system trajectory under i.i.d random inputs,…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Lei Xin , George Chiu , Shreyas Sundaram

Computing reduced-order models using non-intrusive methods is particularly attractive for systems that are simulated using black-box solvers. However, obtaining accurate data-driven models can be challenging, especially if the underlying…

Mathematical Physics · Physics 2024-01-03 Alberto Padovan , Blaine Vollmer , Daniel J. Bodony

Model Order Reduction (MOR) methods enable the generation of real-time-capable digital twins, which can enable various novel value streams in industry. While traditional projection-based methods are robust and accurate for linear problems,…

Numerical Analysis · Mathematics 2021-09-09 Qinyu Zhuang , Juan Manuel Lorenzi , Hans-Joachim Bungartz , Dirk Hartmann

Data generated from dynamical systems with unknown dynamics enable the learning of state observers that are: robust to modeling error, computationally tractable to design, and capable of operating with guaranteed performance. In this paper,…

Systems and Control · Electrical Eng. & Systems 2021-06-28 Ankush Chakrabarty , Mouhacine Benosman

Recently there has been substantial interest in spectral methods for learning dynamical systems. These methods are popular since they often offer a good tradeoff between computational and statistical efficiency. Unfortunately, they can be…

Machine Learning · Statistics 2015-11-05 Ahmed Hefny , Carlton Downey , Geoffrey Gordon

Using visual model-based learning for deformable object manipulation is challenging due to difficulties in learning plannable visual representations along with complex dynamic models. In this work, we propose a new learning framework that…

Machine Learning · Computer Science 2020-03-12 Wilson Yan , Ashwin Vangipuram , Pieter Abbeel , Lerrel Pinto

Restricted Boltzmann Machines (RBMs) offer a versatile architecture for unsupervised machine learning that can in principle approximate any target probability distribution with arbitrary accuracy. However, the RBM model is usually not…

Machine Learning · Computer Science 2022-09-27 Lennart Dabelow , Masahito Ueda

We introduce a machine-learning framework to learn the hyperparameter sequence of first-order methods (e.g., the step sizes in gradient descent) to quickly solve parametric convex optimization problems. Our computational architecture…

Optimization and Control · Mathematics 2024-12-23 Rajiv Sambharya , Bartolomeo Stellato

This paper aims at reviewing nonlinear methods for model order reduction of structures with geometric nonlinearity, with a special emphasis on the techniques based on invariant manifold theory. Nonlinear methods differ from linear based…

Numerical Analysis · Mathematics 2022-05-26 Cyril Touzé , Alessandra Vizzaccaro , Olivier Thomas

We introduce and analyze a method of learning-informed parameter identification for partial differential equations (PDEs) in an all-at-once framework. The underlying PDE model is formulated in a rather general setting with three unknowns:…

Optimization and Control · Mathematics 2023-08-25 Christian Aarset , Martin Holler , Tram Thi Ngoc Nguyen

Reduced order models (ROMs) that capture flow dynamics are of interest for decreasing computational costs for simulation as well as for model-based control approaches. This work presents a data-driven framework for minimal-dimensional…

Machine Learning · Computer Science 2023-08-02 Carlos E. Pérez De Jesús , Michael D. Graham