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Representing and predicting high-dimensional and spatiotemporally chaotic dynamical systems remains a fundamental challenge in dynamical systems and machine learning. Although data-driven models can achieve accurate short-term forecasts,…

机器学习 · 计算机科学 2026-02-17 Liangyu Su , Jun Shu , Rui Liu , Deyu Meng , Zongben Xu

Reinforcement learning (RL) models have shown the capability of learning complex behaviors, but quantitatively assessing those behaviors - which is critical for safety assurance and the discovery of novel strategies - is challenging. By…

最优化与控制 · 数学 2026-03-23 William T. Redman

This paper investigates the problem of energy-optimal control for autonomous underwater vehicles (AUVs). To improve the endurance of AUVs, we propose a novel energy-optimal control scheme based on the economic model predictive control (MPC)…

系统与控制 · 电气工程与系统科学 2019-06-21 Niankai Yang , Dongsik Chang , Mohammad Reza Amini , Matthew Johnson-Roberson , Jing Sun

In inverse problems, the goal is to estimate unknown model parameters from noisy observational data. Traditionally, inverse problems are solved under the assumption of a fixed forward operator describing the observation model. In this…

数值分析 · 数学 2024-09-26 Simon Weissmann , Neil K. Chada , Xin T. Tong

Koopman operator theory is a popular candidate for data-driven modeling because it provides a global linearization representation for nonlinear dynamical systems. However, existing Koopman operator-based methods suffer from shortcomings in…

机器学习 · 计算机科学 2025-03-26 Yuhong Jin , Andong Cong , Lei Hou , Qiang Gao , Xiangdong Ge , Chonglong Zhu , Yongzhi Feng , Jun Li

An iterative learning based economic model predictive controller (ILEMPC) is proposed for repetitive tasks in this paper. Compared with existing works, the initial feasible trajectory of the proposed ILEMPC is not restricted to be…

系统与控制 · 计算机科学 2018-02-13 Yushen Long , Lihua Xie , Shuai Liu

The design of flow control systems remains a challenge due to the nonlinear nature of the equations that govern fluid flow. However, recent advances in computational fluid dynamics (CFD) have enabled the simulation of complex fluid flows…

计算工程、金融与科学 · 计算机科学 2018-11-13 Jeremy Morton , Freddie D. Witherden , Antony Jameson , Mykel J. Kochenderfer

With our recently proposed method based on reinforcement learning (Mayfrank et al. (2024), Comput. Chem. Eng. 190), Koopman surrogate models can be trained for optimal performance in specific (economic) nonlinear model predictive control…

机器学习 · 计算机科学 2025-12-16 Daniel Mayfrank , Kayra Dernek , Laura Lang , Alexander Mitsos , Manuel Dahmen

This paper presents a data-driven method to find a closed-loop optimal controller, which minimizes a specified infinite-horizon cost function for systems with unknown dynamics. Suppose the closed-loop optimal controller can be parameterized…

机器学习 · 计算机科学 2025-11-20 Wenjian Hao , Paulo C. Heredia , Shaoshuai Mou

We propose a neural network-based model for nonlinear dynamics in continuous time that can impose inductive biases on decay rates and/or frequencies. Inductive biases are helpful for training neural networks especially when training data…

机器学习 · 统计学 2022-12-27 Tomoharu Iwata , Yoshinobu Kawahara

This paper experimentally demonstrates the Koopman-Model Predictive Control (K-MPC) for a real AC-DC converter. The converter is typically modeled with a nonlinear time-variant plant. We introduce a new dynamical approach to lifting…

系统与控制 · 电气工程与系统科学 2026-02-10 Shun Hirose , Shiu Mochiyama , Yoshihiko Susuki

A Learning Model Predictive Controller (LMPC) for linear system in presented. The proposed controller is an extension of the LMPC [1] and it aims to decrease the computational burden. The control scheme is reference-free and is able to…

最优化与控制 · 数学 2019-10-31 Ugo Rosolia , Francesco Borrelli

We present a method to obtain a data-driven Koopman operator-based model that adapts itself during operation and can be straightforwardly used for the controller and observer design. The adaptive model is able to accurately describe…

最优化与控制 · 数学 2023-12-01 Annika Junker , Keno Pape , Julia Timmermann , Ansgar Trächtler

We propose a novel framework for learning linear time-invariant (LTI) models for a class of continuous-time non-autonomous nonlinear dynamics based on a representation of Koopman operators. In general, the operator is infinite-dimensional…

系统与控制 · 电气工程与系统科学 2022-05-24 Petar Bevanda , Max Beier , Shahab Heshmati-Alamdari , Stefan Sosnowski , Sandra Hirche

Koopman operator recently gained increasing attention in the control systems community for its abilities to bridge linear and nonlinear systems. Data driven Koopman operator approximations have established themselves as key enablers for…

系统与控制 · 电气工程与系统科学 2026-01-13 Selin Ezgi Ozcan , Mustafa Mert Ankarali

Vehicle state estimation presents a fundamental challenge for autonomous driving systems, requiring both physical interpretability and the ability to capture complex nonlinear behaviors across diverse operating conditions. Traditional…

系统与控制 · 电气工程与系统科学 2025-06-17 Farid Mafi , Ladan Khoshnevisan , Mohammad Pirani , Amir Khajepour

Koopman theory asserts that a nonlinear dynamical system can be mapped to a linear system, where the Koopman operator advances observations of the state forward in time. However, the observable functions that map states to observations are…

机器学习 · 计算机科学 2019-06-04 Jeremy Morton , Freddie D Witherden , Mykel J Kochenderfer

The Koopman operator provides a powerful framework for data-driven analysis of dynamical systems. In the last few years, a wealth of numerical methods providing finite-dimensional approximations of the operator have been proposed (e.g.…

动力系统 · 数学 2021-02-16 Marvyn Gulina , Alexandre Mauroy

Predictive maintenance is an effective tool for reducing maintenance costs. Its effectiveness relies heavily on the ability to predict the future state of health of the system, and for this survival models have shown to be very useful. Due…

系统与控制 · 电气工程与系统科学 2023-02-02 Olov Holmer , Erik Frisk , Mattias Krysander

The Koopman operator has recently garnered much attention for its value in dynamical systems analysis and data-driven model discovery. However, its application has been hindered by the computational complexity of extended dynamic mode…

机器学习 · 计算机科学 2017-12-11 Enoch Yeung , Soumya Kundu , Nathan Hodas
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