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We study a class of cooperative multi-agent optimization problems, where each agent is associated with a local action vector and a local cost, and the goal is to cooperatively find the joint action profile that minimizes the average of the…

Optimization and Control · Mathematics 2021-02-24 Yujie Tang , Zhaolin Ren , Na Li

This paper devises a novel lowest-order conforming virtual element method (VEM) for planar linear elasticity with the pure displacement/traction boundary condition. The main trick is to view a generic polygon $K$ as a new one…

Numerical Analysis · Mathematics 2022-01-13 Jianguo Huang , Sen Lin , Yue Yu

The deep reinforcement learning (DRL) based Volt-VAR optimization (VVO) methods have been widely studied for active distribution networks (ADNs). However, most of them lack safety guarantees in terms of power injection uncertainties due to…

Systems and Control · Electrical Eng. & Systems 2024-09-30 Zhengrong Chen , Siyao Cai , A. P. Sakis Meliopoulos

While traditional Deep Learning (DL) optimization methods treat all training samples equally, Distributionally Robust Optimization (DRO) adaptively assigns importance weights to different samples. However, a significant gap exists between…

We present a novel extremum seeking method for affine connection mechanical control systems. The proposed control law involves periodic perturbation signals with sufficiently large amplitudes and frequencies. A suitable averaging analysis…

Optimization and Control · Mathematics 2022-11-30 Raik Suttner

A proper channel modeling methodology that characterizes the statistics of extreme events is key in the design of a system at an ultra-reliable regime of operation. The strict constraint of ultra-reliability corresponds to the packet error…

Signal Processing · Electrical Eng. & Systems 2024-01-12 Niloofar Mehrnia , Sinem Coleri

With the explosion of distributed energy resources (DERs), voltage regulation in distribution networks has been facing a great challenge. This paper derives an asynchronous distributed voltage control strategy based on the partial…

Systems and Control · Electrical Eng. & Systems 2019-08-20 Zhaojian Wang , Feng Liu , Yifan Su , Boyu Qin

This study proposes a real-time distributed energy resource (DER) coordination model that can exploit flexibility from the DERs to solve voltage and overloading issues using both active and reactive power. The model considers time-coupling…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Sen Zhan , Johan Morren , Wouter van den Akker , Anne van der Molen , Han Slootweg

In this paper we validate, including experimentally, the effectiveness of a recent theoretical developments made by our group on control-affine Extremum Seeking Control (ESC) systems. In particular, our validation is concerned with the…

Robotics · Computer Science 2024-03-12 Shivam Bajpai , Ahmed A. Elgohary , Sameh A. Eisa

This paper presents a novel hierarchical framework for real-time, network-admissible coordination of responsive grid resources aggregated into virtual batteries (VBs). In this context, a VB represents a local aggregation of directly…

Systems and Control · Electrical Eng. & Systems 2020-10-08 Sarnaduti Brahma , Nawaf Nazir , Hamid Ossareh , Mads Almassalkhi

This paper address the optimal voltage control problem of distribution systems with high penetration of inverter-based renewable energy resources, under inaccurate model information. We propose the online exponential barrier method that…

Optimization and Control · Mathematics 2025-10-14 Peng Zhang , Baosen Zhang

A voltage regulation method for slow voltage variations at distribution level is proposed, based on a view of the loads, generators and storage along a distribution line as point weights. The "centers of mass" of the absorbed and injected…

Systems and Control · Electrical Eng. & Systems 2021-05-14 Panayiotis Moutis , Pavlos S. Georgilakis , Nikos D. Hatziargyriou

Under conditions of high penetration of renewables, the low-voltage (LV) distribution network needs to be carefully managed. In such a scenario, an accurate real-time low-voltage power network model is an important prerequisite, which opens…

Optimization and Control · Mathematics 2019-06-19 Sergey Iakovlev , Robin J. Evans , Iven Mareels

In this work, the problem of optimizing damper positions in vibrational systems is investigated. The objective is to determine the positions of external dampers in such a way that the influence of the input on the output is minimized. The…

Numerical Analysis · Mathematics 2025-06-26 Jennifer Przybilla , Matea Ugrica Vukojević , Ninolsav Truhar , Peter Benner

In order to maintain security and quality of supply while supporting increased intermittent generation and electrification of heating and transport at the LV grid, the provision of flexibility in the framework of distribution grid operation…

Systems and Control · Electrical Eng. & Systems 2021-08-10 Ankur Majumdar , Omid Alizadeh-Mousavi

In recent years, an approach to extremum seeking control made it possible to design control vector fields that lead to asymptotic stability of the minimum point provided that the minimum value of the function is known a priori. In this…

Optimization and Control · Mathematics 2021-11-25 Mahmoud Abdelgalil , Haithem Taha

We study the problem of performance optimization of closed-loop control systems with unmodeled dynamics. Bayesian optimization (BO) has been demonstrated effective for improving closed-loop performance by automatically tuning controller…

Machine Learning · Computer Science 2021-10-15 Wenjie Xu , Colin N Jones , Bratislav Svetozarevic , Christopher R. Laughman , Ankush Chakrabarty

This paper presents a Newton-based stochastic extremum-seeking control method for real-time optimization in multi-input systems with distinct input delays. It combines predictor-based feedback and Hessian inverse estimation via stochastic…

Optimization and Control · Mathematics 2025-02-04 Paulo Cesar Souza Silva , Paulo Cesar Pellanda , Tiago Roux Oliveira

In this paper, we address the issue of model specification in probabilistic latent variable models (PLVMs) using an infinite-horizon optimal control approach. Traditional PLVMs rely on joint distributions to model complex data, but…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Zhichao Chen , Hao Wang , Licheng Pan , Yiran Ma , Yunfei Teng , Jiaze Ma , Le Yao , Zhiqiang Ge , Zhihuan Song

Extremum Seeking Control (ESC) is a well-known set of continuous time algorithms for model-free optimization of a cost function. One issue for ESCs is the convergence rates of parameters to extrema of unknown cost functions. The local…

Optimization and Control · Mathematics 2024-09-20 Patrick McNamee , Zahra Nili Ahmadabadi