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In this paper, we investigate the problem of unified prescribed performance tracking for a class of non-square strict-feedback nonlinear systems under relaxed controllability conditions. By using a skillful matrix decomposition and…

Systems and Control · Electrical Eng. & Systems 2025-08-15 Bing Zhou , Kai Zhao , Yongduan Song , Zhen Chen

Two-stage stochastic unit commitment (2S-SUC) problems have been widely adopted to manage the uncertainties introduced by high penetrations of intermittent renewable energy resources. While decomposition-based algorithms such as…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Zhentong Shao , Jingtao Qin , Nanpeng Yu

The unit commitment (UC) problem stands as a critical optimization challenge in the electrical power industry. It is classified as NP-hard, placing it among the most intractable problems to solve. This paper introduces a novel hybrid…

Quantum Physics · Physics 2024-12-17 Bruna Salgado , André Sequeira , Luis Paulo Santos

In this paper, the Unit Commitment (UC) problem in a power network with low levels of rotational inertia is studied. Frequency-related constraints, namely the limitation on Rate-of-Change-of-Frequency (RoCoF), frequency nadir and…

Optimization and Control · Mathematics 2019-04-08 Matthieu Paturet , Uros Markovic , Stefanos Delikaraoglou , Evangelos Vrettos , Petros Aristidou , Gabriela Hug

Wind generation is traditionally treated as a non-dispatchable resource and is fully absorbed unless there are security issues. To tackle the operational reliability issues caused by the volatile and non-dispatchable wind generation, many…

Optimization and Control · Mathematics 2015-11-13 Cheng Wang , Feng Liu , Feng Qiu , Wei Wei , Jianhui Wang , Shengwei Mei

With the increasing penetration of renewable energy, frequency response and its security are of significant concerns for reliable power system operations. Frequency-constrained unit commitment (FCUC) is proposed to address this challenge.…

Systems and Control · Electrical Eng. & Systems 2021-10-14 Yichen Zhang , Hantao Cui , Jianzhe Liu , Feng Qiu , Tianqi Hong , Rui Yao , Fangxing Li

This paper presents a novel 2-stage microgrid unit commitment (Microgrid-UC) algorithm considering cold-load pickup (CLPU) effects, three-phase load balancing requirements, and feasible reconfiguration options. Microgrid-UC schedules the…

Systems and Control · Electrical Eng. & Systems 2025-09-12 Rongxing Hu , Ashwin Shirsat , Valliappan Muthukaruppan , Si Zhang , Yiyan Li , Lidong Song , Bei Xu , Victor Paduani , Ning Lu , Mesut Baran , Wenyuan Tang

In the face of extreme events, e.g., hurricanes, the transmission systems, especially the transmission lines, are affected across time and space. To mitigate these impacts on the day-ahead market from a probabilistic perspective, a…

Optimization and Control · Mathematics 2019-11-19 Tianyang Zhao , Huajun Zhang , Xiaochuan Liu , Shuhan Yao , Peng Wang

Model Predictive Control (MPC) is a successful control methodology, which is applied to increasingly complex systems. However, real-time feasibility of MPC can be challenging for complex systems, certainly when an (extremely) large number…

Systems and Control · Electrical Eng. & Systems 2024-10-25 S. A. N. Nouwens , B. de Jager , M. M. Paulides , W. P. M. H. Heemels

The U.S. power grid is undergoing a major paradigm shift with the increased development of renewable generators, electric vehicles, and data centers. In response to this growing need, the U.S. has ramped up the construction of…

Optimization and Control · Mathematics 2026-03-20 Rosemary Barrass , Harsha Nagarajan , Mathieu Tanneau , Russell Bent , Pascal Van Hentenryck

This paper focuses on adaptive control of the discrete-time linear quadratic regulator (adaptive LQR). Recent literature has made significant contributions in proving non-asymptotic convergence rates, but existing approaches have a few…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Peter A. Fisher , Anuradha M. Annaswamy

This paper proposes a hybrid quantum-classical algorithm to solve a fundamental power system problem called unit commitment (UC). The UC problem is decomposed into a quadratic subproblem, a quadratic unconstrained binary optimization (QUBO)…

Quantum Physics · Physics 2022-04-19 Reza Mahroo , Amin Kargarian

In this paper, we study stochastic optimization of areas under precision-recall curves (AUPRC), which is widely used for combating imbalanced classification tasks. Although a few methods have been proposed for maximizing AUPRC, stochastic…

Machine Learning · Computer Science 2022-03-07 Guanghui Wang , Ming Yang , Lijun Zhang , Tianbao Yang

The alternating-current unit commitment problem provides a realistic representation of power system operations, which is a nonconvex mixed-integer nonlinear programming problem and hence is computationally intractable. A common relaxation…

Optimization and Control · Mathematics 2026-04-07 Yongzheng Dai

We devise the Unit Commitment Nearest Neighbor (UCNN) algorithm to be used as a proxy for quickly approximating outcomes of short-term decisions, to make tractable hierarchical long-term assessment and planning for large power systems.…

Machine Learning · Computer Science 2018-03-01 Gal Dalal , Elad Gilboa , Shie Mannor , Louis Wehenkel

The N-1-1 contingency criterion considers the con- secutive loss of two components in a power system, with intervening time for system adjustments. In this paper, we consider the problem of optimizing generation unit commitment (UC) while…

Optimization and Control · Mathematics 2016-04-20 Zhaomiao Guo , Richard Li-Yang Chen , Neng Fan , Jean-Paul Watson

Learning to improve AUC performance is an important topic in machine learning. However, AUC maximization algorithms may decrease generalization performance due to the noisy data. Self-paced learning is an effective method for handling noisy…

Machine Learning · Computer Science 2022-07-11 Bin Gu , Chenkang Zhang , Huan Xiong , Heng Huang

Wind energy has been integrated into the power system with the hope that it improves the energy efficiency and decreases greenhouse gas emission. However, several studies over the world imply that the result was in the opposite way that was…

Systems and Control · Electrical Eng. & Systems 2020-06-02 HyungSeon Oh

Transformers have achieved remarkable success in sequence modeling and beyond but suffer from quadratic computational and memory complexities with respect to the length of the input sequence. Leveraging techniques include sparse and linear…

Machine Learning · Computer Science 2022-08-02 Tan Nguyen , Richard G. Baraniuk , Robert M. Kirby , Stanley J. Osher , Bao Wang

A novel inverse relaxation technique for supercapacitor characterization is developed, modeled numerically, and experimentally tested on a number of commercial supercapacitors. It consists in shorting a supercapacitor for a short time…

Applied Physics · Physics 2020-12-07 Mikhail Evgenievich Kompan , Vladislav Gennadievich Malyshkin