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In this paper, we propose a new approach to design globally convergent reduced-order observers for nonlinear control systems via contraction analysis and convex optimization. Despite the fact that contraction is a concept naturally suitable…

Optimization and Control · Mathematics 2021-08-17 Bowen Yi , Ruigang Wang , Ian R. Manchester

In this work, we propose a control scheme for linear systems subject to pointwise in time state and input constraints that aims to minimize time-varying and a priori unknown cost functions. The proposed controller is based on online convex…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Marko Nonhoff , Johannes Köhler , Matthias A. Müller

Continuous monitoring and real-time control of high-dimensional distributed systems are often crucial in applications to ensure a desired physical behavior, without degrading stability and system performances. Traditional feedback control…

Optimization and Control · Mathematics 2024-12-16 Matteo Tomasetto , Francesco Braghin , Andrea Manzoni

Power systems with a high penetration of renewable generation are vulnerable to frequency oscillation and voltage instability. Traditionally, the stability of power systems is considered either in terms of local stability or as an angle…

Systems and Control · Electrical Eng. & Systems 2025-07-31 Xinyuan Jiang , Constantino M. Lagoa , Daning Huang , Yan Li

An approach to derive low-complexity models describing thermal radiation for the sake of simulating the behavior of electric arcs in switchgear systems is presented. The idea is to approximate the (high dimensional) full-order equations,…

Optimization and Control · Mathematics 2015-12-09 Lorenzo Fagiano , Rudolf Gati

Distribution feeder and load model reduction methods are essential for maintaining a good tradeoff between accurate representation of grid behavior and reduced computational complexity in power system studies. An effective algorithm to…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Sameer Nekkalapu , Sushrut Thakar , Antos Cheeramban Varghese , Vijay Vittal , Bo Gong , Ken Brown

We present a low-order modeling technique for actuated flows based on the regularization of an inverse problem. The inverse problem aims at minimizing the error between the model predictions and some reference simulations. The parameters to…

Fluid Dynamics · Physics 2009-11-13 Jessie Weller , Edoardo Lombardi , Angelo Iollo

Building oscillator based computing systems with emerging nano-device technologies has become a promising solution for unconventional computing tasks like computer vision and pattern recognition. However, simulation and analysis of these…

Emerging Technologies · Computer Science 2016-11-15 Yan Fang , Victor V. Yashin , Donald M. Chiarulli , Steven P. Levitan

This paper has developed a closed-loop control algorithm to operate the G2V/V2G action, tested under varying battery voltage conditions and load and source power differences. Under V2G action, to maintain total harmonic distortion under…

Systems and Control · Electrical Eng. & Systems 2023-10-13 Satya Vikram Pratap Singh , Siddharth Kamila , Prashanth Agnihotri

This paper proposes a data-driven algorithm for model order reduction (MOR) of large-scale wind farms and studies the effects that the obtained reduced-order model (ROM) has when this is integrated into the power grid. With respect to…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Zilong Gong , Junyu Mao , Adrià Junyent-Ferré , Giordano Scarciotti

This paper presents a novel grid-forming voltage control strategy for a battery energy storage system to maintain balanced three-phase output voltages when serving unbalanced loads. A stationary reference frame ($\alpha \beta$) based…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Bei Xu , Victor Paduani , Hui Yu , David Lubkeman , Ning Lu

This paper develops a new analytical model to estimate real-time variations in grid frequency and voltages resulting from dynamic network reconfiguration (DNR). In the proposed model, switching operations are considered as discrete…

Systems and Control · Electrical Eng. & Systems 2020-12-15 Jae-Young Park , Young-Jin Kim

Model order reduction aims to determine a low-order approximation of high-order models with least possible approximation errors. For application to physical systems, it is crucial that the reduced order model (ROM) is robust to any…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Shivam Bajaj , Carolyn L. Beck , Vijay Gupta

This document contains extended mathematical derivations for the communication-free and model-free algorithms that can actively control converter-connected devices, and can operate either as stand-alone or in combination with centralized…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Ilgiz Murzakhanov , Spyros Chatzivasileiadis

In order to achieve a better understanding of degradation processes in lithium-ion batteries, the modelling of cell dynamics at the mircometer scale is an important focus of current mathematical research. These models lead to…

Numerical Analysis · Mathematics 2018-03-09 Mario Ohlberger , Stephan Rave , Sebastian Schmidt , Shiquan Zhang

The integration of converter-interfaced generation introduces new transient stability challenges to modern power systems. Classical Lyapunov- and scalable passivity-based approaches typically rely on restrictive assumptions, and finding…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Yifei Wang , Han Wang , Kehao Zhuang , Keith Moffat , Florian Dörfler

Reduced-order models (ROMs) provide lower dimensional representations of complex systems, capturing their salient features while simplifying control design. Building on previous work, this paper presents an overarching framework for the…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Max H. Cohen , Noel Csomay-Shanklin , William D. Compton , Tamas G. Molnar , Aaron D. Ames

Three-phase AC-DC rectifiers are fundamental components in modern power electronics systems, yet achieving rapid voltage regulation and precise current tracking under load and grid disturbances remains challenging due to nonlinear dynamics…

Optimization and Control · Mathematics 2026-03-02 Koto Omiloli , Satish Vedula , Ayobami Olajube , Olugbenga Moses Anubi

The internal model principle states that all robustly regulating controllers must contain a suitably reduplicated internal model of the signal to be regulated. Using frequency domain methods, we show that the number of the copies may be…

Optimization and Control · Mathematics 2023-03-01 Petteri Laakkonen , Lassi Paunonen

Inverter-interfaced microgrids, owing to the lack of fault current, cannot be protected using traditional over-current protections, while admittance or differential relaying protection schemes are not practical to be implemented. Dynamic…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Sarbajit Basu , Arthur K. Barnes , Adam Mate , Olga Lavrova
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