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We propose an algorithm based on online convex optimization for controlling discrete-time linear dynamical systems. The algorithm is data-driven, i.e., does not require a model of the system, and is able to handle a priori unknown and…

Optimization and Control · Mathematics 2022-11-17 Marko Nonhoff , Matthias A. Müller

In this article, we introduce an adaptive online model update algorithm designed for predictive control applications in networked systems, particularly focusing on power distribution systems. Unlike traditional methods that depend on…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Vivek Khatana , Chin-Yao Chang , Wenbo Wang

To perform any meaningful optimization task, power distribution operators need to know the topology and line impedances of their electric networks. Nevertheless, distribution grids currently lack a comprehensive metering infrastructure.…

Optimization and Control · Mathematics 2018-06-12 Guido Cavraro , Vassilis Kekatos

The increasing penetration of renewable energy sources introduces significant variability and uncertainty in modern power systems, making accurate state prediction critical for reliable grid operation. Conventional forecasting methods often…

Machine Learning · Computer Science 2025-04-01 Dhruv Suri , Mohak Mangal

This text presents an introduction to an emerging paradigm in control of dynamical systems and differentiable reinforcement learning called online nonstochastic control. The new approach applies techniques from online convex optimization…

Machine Learning · Computer Science 2026-04-28 Elad Hazan , Karan Singh

Signal processing and machine learning algorithms for data supported over graphs, require the knowledge of the graph topology. Unless this information is given by the physics of the problem (e.g., water supply networks, power grids), the…

Signal Processing · Electrical Eng. & Systems 2021-02-11 Alberto Natali , Mario Coutino , Elvin Isufi , Geert Leus

This paper proposes a novel online data-driven adaptive control for unknown linear time-varying systems. Initialized with an empirical feedback gain, the algorithm periodically updates this gain based on the data collected over a short time…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Shenyu Liu , Kaiwen Chen , Jaap Eising

Optimal operation of distribution grid resources relies on accurate estimation of its state and topology. Practical estimation of such quantities is complicated by the limited presence of real-time meters. This paper discusses a theoretical…

Systems and Control · Computer Science 2020-01-06 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

Feedback-based online optimization algorithms have gained traction in recent years because of their simple implementation, their ability to reject disturbances in real time, and their increased robustness to model mismatch. While the…

Optimization and Control · Mathematics 2019-05-20 Marcello Colombino , John W. Simpson-Porco , Andrey Bernstein

This paper proposes a novel control design for voltage tracking of an islanded AC microgrid in the presence of {nonlinear} loads and parametric uncertainties at the primary level of control. The proposed method is based on the Tube-Based…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Sahand Kiani , Hamed Kebriaei , Mohsen Hamzeh , Ali Salmanpour

This paper investigates the problem of controlling a linear system under possibly unbounded stochastic noise with unknown convex cost functions, known as an online control problem. In contrast to the existing work, which assumes the…

Systems and Control · Electrical Eng. & Systems 2025-06-03 Kaito Ito , Taira Tsuchiya

Voltage control plays an important role in the operation of electricity distribution networks, especially with high penetration of distributed energy resources. These resources introduce significant and fast varying uncertainties. In this…

Optimization and Control · Mathematics 2018-11-07 Pan Li , Baihong Jin , Dai Wang , Baosen Zhang

This paper focuses on finding reinforcement learning policies for control systems with hard state and action constraints. Despite its success in many domains, reinforcement learning is challenging to apply to problems with hard constraints,…

Machine Learning · Computer Science 2020-03-24 Liyuan Zheng , Yuanyuan Shi , Lillian J. Ratliff , Baosen Zhang

Renewable energy productions and electrification of mobility are promising solutions to reduce greenhouse gas emissions. Their effective integration in a power grid encounters several challenges. The uncertain nature of renewable energy…

Systems and Control · Electrical Eng. & Systems 2023-01-11 Manijeh Alipour , Omid Alizadeh-Mousavi

The successful integration of machine learning models into decision support tools for grid operation hinges on effectively capturing the topological changes in daily operations. Frequent grid reconfigurations and N-k security analyses have…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Agnes M. Nakiganda , Spyros Chatzivasileiadis

This paper studies the design of feedback controllers to steer a switching linear time-invariant dynamical system towards the solution trajectory of a time-varying convex optimization problem. We propose two types of controllers: (i) a…

Optimization and Control · Mathematics 2022-02-22 Gianluca Bianchin , Jorge I. Poveda , Emiliano Dall'Anese

In this paper, online convex optimization is applied to the problem of controlling linear dynamical systems. An algorithm similar to online gradient descent, which can handle time-varying and unknown cost functions, is proposed. Then,…

Optimization and Control · Mathematics 2021-11-03 Marko Nonhoff , Matthias A. Müller

Estimating the structure of physical flow networks such as power grids is critical to secure delivery of energy. This paper discusses statistical structure estimation in power grids in the "under-excited" regime, where a subset of internal…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Deepjyoti Deka , Harish Doddi , Sidhant Misra , Murti Salapaka

Distribution grids refer to the part of the power grid that delivers electricity from substations to the loads. Structurally a distribution grid is operated in one of several radial/tree-like topologies that are derived from an original…

Optimization and Control · Mathematics 2016-03-08 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Network controllability robustness reflects how well a networked system can maintain its controllability against destructive attacks. Its measure is quantified by a sequence of values that record the remaining controllability of the network…

Physics and Society · Physics 2022-10-14 Yang Lou , Yaodong He , Lin Wang , Kim Fung Tsang , Guanrong Chen