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Related papers: Data-Driven Continuous-Time Framework for Frequenc…

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Data-driven control of discrete-time and continuous-time systems is of tremendous research interest. In this paper, we explore data-driven optimal control of continuous-time linear systems using input-output data. Based on a density result,…

Optimization and Control · Mathematics 2024-07-18 Philipp Schmitz , Timm Faulwasser , Paolo Rapisarda , Karl Worthmann

The short-term operation of a power system is usually planned by solving a day-ahead unit commitment problem. Due to historical reasons, the commitment of the power generating units is decided over a time horizon typically consisting of the…

Optimization and Control · Mathematics 2019-03-12 Salvador Pineda , Ricardo Fernandez-Blanco , Juan Miguel Morales

The Error-in-Variables model of system identification/control involves nontrivial input and measurement corruption of observed data, resulting in generically nonconvex optimization problems. This paper performs full-state-feedback…

Optimization and Control · Mathematics 2024-05-21 Jared Miller , Tianyu Dai , Mario Sznaier

The reduced inertia levels in low-carbon power grids necessitate explicit constraints to limit frequency's nadir and rate of change during scheduling. This can result in significant curtailment of renewable energy due to the minimum…

Systems and Control · Electrical Eng. & Systems 2021-11-18 Cormac O'Malley , Luis Badesa , Fei Teng , Goran Strbac

This letter presents a corrective frequency-constrained UC (C-FCUC) for island power systems implementing analytical constraints on underfrequency load shedding (UFLS). Since UFLS is inevitable for sufficiently large disturbances, one can…

Systems and Control · Electrical Eng. & Systems 2023-04-12 Almudena Rouco , Mohammad Rajabdorri , Lukas Sigrist , Enrique Lobato , Ignacio Egido

The integration of Fourier transform and deep learning opens new avenues for time series forecasting. We reconsider the Fourier transform from a basis functions perspective. Specifically, the real and imaginary parts of the frequency…

Machine Learning · Computer Science 2025-08-05 Runze Yang , Longbing Cao , Xin You , Kun Fang , Jianxun Li , Jie Yang

The daily operation of real-world power systems and their underlying markets relies on the timely solution of the unit commitment problem. However, given its computational complexity, several optimization-based methods have been proposed to…

Optimization and Control · Mathematics 2023-03-24 Mohamed Awadalla , François Bouffard

Willems' fundamental lemma has recently received an impressive amount of attention in the (data-driven) control community. In this paper, we formulate a frequency-domain equivalent of this lemma. In doing so, we bridge the gap between…

Systems and Control · Electrical Eng. & Systems 2023-11-28 T. J. Meijer , S. A. N. Nouwens , V. S. Dolk , W. P. M. H. Heemels

This paper proposes a novel control framework for handling (potentially coupled) multiple time-varying output constraints for uncertain nonlinear systems. First, it is shown that the satisfaction of multiple output constraints boils down to…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Farhad Mehdifar , Lars Lindemann , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

This paper explores the problem of uncertainty quantification in the behavioral setting for data-driven control. Building on classical ideas from robust control, the problem is regarded as that of selecting a metric which is best suited to…

Optimization and Control · Mathematics 2022-04-07 Alberto Padoan , Jeremy Coulson , Henk J. van Waarde , John Lygeros , Florian Dörfler

With more inverter-based resources (IBRs), our power systems have lower frequency nadirs following N-1 contingencies, and undesired under-frequency load shedding (UFLS) can occur. To address this challenge, IBRs can be programmed to provide…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Shuan Dong , Xin Fang , Jin Tan , Ningchao Gao , Xiaofan Cui , Anderson Hoke

Frequency-based methods have been successfully employed in creating high fidelity data-driven reduced order models (DDROMs) for linear dynamical systems. These methods require access to values (and sometimes derivatives) of the…

Numerical Analysis · Mathematics 2024-01-04 Michael S. Ackermann , Serkan Gugercin

Many real-world time series exhibit strong periodic structures arising from physical laws, human routines, or seasonal cycles. However, modern deep forecasting models often fail to capture these recurring patterns due to spectral bias and a…

Machine Learning · Computer Science 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Lijun Sun

We propose a Bayesian nonparametric model for mixed-type bounded data, where some variables are compositional and others are interval-bounded. Compositional variables are non-negative and sum to a given constant, such as the proportion of…

Methodology · Statistics 2025-03-13 Rufeng Liu , Claudia Wehrhahn , Andrés F. Barrientos , Alejandro Jara

This paper presents a new data-driven finite element framework that is applicable to a broad range of engineering simulation problems. In the data-driven approach, the conservation laws and boundary conditions are satisfied by means of the…

Computational Engineering, Finance, and Science · Computer Science 2025-09-09 Adriana Kuliková , Andrei G. Shvarts , Łukasz Kaczmarczyk , Chris J. Pearce

Willems' fundamental lemma enables data-driven analysis and control by characterizing an unknown system's behavior directly in terms of measured data. In this work, we extend a recent frequency-domain variant of this result--previously…

Systems and Control · Electrical Eng. & Systems 2025-04-10 T. J. Meijer , M. Wind , V. S. Dolk , W. P. M. H. Heemels

We propose a novel global solution algorithm for the network-constrained unit commitment problem incorporating a nonlinear alternating current model of the transmission network, which is a nonconvex mixed-integer nonlinear programming…

Optimization and Control · Mathematics 2018-11-27 Jianfeng Liu , Anya Castillo , Jean-Paul Watson , Carl D. Laird

This paper presents a convex optimization-based framework for synthesizing time-varying controlled invariant funnels and associated feedback control around a given nominal trajectory for nonlinear systems subject to bounded disturbances.…

Optimization and Control · Mathematics 2025-11-13 Taewan Kim , Dayou Luo , Behçet Açıkmeşe

Time delays in communication channels present significant challenges for bilateral teleoperation systems, affecting both transparency and stability. Although traditional wave variable-based methods for a four-channel architecture ensure…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Nour Mitiche , Farid Ferguene , Mourad Oussalah

The reduced level of system inertia in low-carbon power grids increases the need for alternative frequency services. However, simultaneously optimising the provision of these services in the scheduling process, subject to significant…

Optimization and Control · Mathematics 2021-01-20 Luis Badesa , Fei Teng , Goran Strbac