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This paper studies worst-case robust optimal tracking using noisy input-output data. We utilize behavioral system theory to represent system trajectories, while avoiding explicit system identification. We assume that the recent output data…

Optimization and Control · Mathematics 2021-06-28 Liang Xu , Mustafa Sahin Turan , Baiwei Guo , Giancarlo Ferrari-Trecate

While the uncertainty in generation and demand increases, accurately estimating the dynamic characteristics of power systems becomes crucial for employing the appropriate control actions to maintain their stability. In our previous work, we…

Systems and Control · Electrical Eng. & Systems 2024-03-21 Simon Stock , Davood Babazadeh , Christian Becker , Spyros Chatzivasileiadis

We propose a novel framework for learning stabilizable nonlinear dynamical systems for continuous control tasks in robotics. The key idea is to develop a new control-theoretic regularizer for dynamics fitting rooted in the notion of…

Systems and Control · Computer Science 2018-11-13 Sumeet Singh , Vikas Sindhwani , Jean-Jacques E. Slotine , Marco Pavone

This work presents a control-oriented identification scheme for efficient control design and stability analysis of nonlinear systems. Neural networks are used to identify a discrete-time nonlinear state-space model to approximate…

Systems and Control · Electrical Eng. & Systems 2024-10-04 Maxime Thieffry , Alexandre Hache , Mohamed Yagoubi , Philippe Chevrel

Predicting chaotic dynamical systems is critical in many scientific fields, such as weather forecasting, but challenging due to the characteristic sensitive dependence on initial conditions. Traditional modeling approaches require extensive…

Machine Learning · Computer Science 2025-03-12 Christof Schötz , Alistair White , Maximilian Gelbrecht , Niklas Boers

We propose a physics-informed Echo State Network (ESN) to predict the evolution of chaotic systems. Compared to conventional ESNs, the physics-informed ESNs are trained to solve supervised learning tasks while ensuring that their…

Physics and Society · Physics 2019-06-28 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

Accurately estimating parameters in complex nonlinear systems is crucial across scientific and engineering fields. We present a novel approach for parameter estimation using a neural network with the Huber loss function. This method taps…

Machine Learning · Computer Science 2023-08-25 Kaushal Kumar

Many dynamical systems of interest are nonlinear, with examples in turbulence, epidemiology, neuroscience, and finance, making them difficult to control using linear approaches. Model predictive control (MPC) is a powerful model-based…

Optimization and Control · Mathematics 2021-08-31 Urban Fasel , Eurika Kaiser , J. Nathan Kutz , Bingni W. Brunton , Steven L. Brunton

In recent years, Neural Networks (NNs) have been employed to control nonlinear systems due to their potential capability in dealing with situations that might be difficult for conventional nonlinear control schemes. However, to the best of…

Optimization and Control · Mathematics 2025-02-04 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

Performing controlled experiments on noisy data is essential in understanding deep learning across noise levels. Due to the lack of suitable datasets, previous research has only examined deep learning on controlled synthetic label noise,…

Machine Learning · Computer Science 2020-08-28 Lu Jiang , Di Huang , Mason Liu , Weilong Yang

The introduction of unexpected system disturbances and new system dynamics does not allow guaranteed continuous system stability. In this research we present a novel approach for detecting early failure indicators of non-linear highly…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Amr Mahmoud , Youmna Ismaeil , Mohamed Zohdy

We apply a graybox machine-learning framework to model and control a qubit undergoing Markovian and non-Markovian dynamics from environmental noise. The approach combines physics-informed equations with a lightweight transformer neural…

This paper presents a novel model-reference reinforcement learning control method for uncertain autonomous surface vehicles. The proposed control combines a conventional control method with deep reinforcement learning. With the conventional…

Systems and Control · Electrical Eng. & Systems 2021-06-17 Qingrui Zhang , Wei Pan , Vasso Reppa

The problem of determining the mathematical model of the dynamics of multi-dimensional control systems in the presence of noise under the condition that the correlation functions cannot be found. Known statistical dynamics of linear systems…

General Mathematics · Mathematics 2013-01-29 V. N. Tibabishev

There has been much interest in recent years in learning good classifiers from data with noisy labels. Most work on learning from noisy labels has focused on standard loss-based performance measures. However, many machine learning problems…

Machine Learning · Computer Science 2024-04-25 Mingyuan Zhang , Shivani Agarwal

This paper presents a kernelized offset-free data-driven predictive control scheme for nonlinear systems. Traditional model-based and data-driven predictive controllers often struggle with inaccurate predictors or persistent disturbances,…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Thomas Oliver de Jong , Mircea Lazar

The robust disturbance rejection controller has been the subject of intensive research due to its undeniable importance for automation. Modern control theory tends to use model-based approaches versus model-free approaches, especially when…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Atta Oveisi

Model-based feedforward control improves tracking performance of motion systems, provided that the model describing the inverse dynamics is of sufficient accuracy. Model sets, such as neural networks (NNs) and physics-guided neural networks…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Max Bolderman , Mircea Lazar , Hans Butler

The fundamental lemma from behavioral systems theory yields a data-driven non-parametric system representation that has shown great potential for the data-efficient control of unknown linear and weakly nonlinear systems, even in the…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Johannes Teutsch , Sebastian Ellmaier , Sebastian Kerz , Dirk Wollherr , Marion Leibold

We present a novel, model-free, and data-driven methodology for controlling complex dynamical systems into previously unseen target states, including those with significantly different and complex dynamics. Leveraging a parameter-aware…

Chaotic Dynamics · Physics 2026-02-13 Daniel Köglmayr , Alexander Haluszczynski , Christoph Räth
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