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This paper concerns two algorithms for solving optimal control problems with hybrid systems. The first algorithm aims at hybrid systems exhibiting sliding modes. The first algorithm has several features which distinguishes it from the other…

Optimization and Control · Mathematics 2025-08-05 Radoslaw Pytlak , Damian Suski

The thermal unit commitment (UC) problem has historically been formulated as a mixed integer quadratic programming (MIQP), which is difficult to solve efficiently, especially for large-scale systems. The tighter characteristic reduces the…

Optimization and Control · Mathematics 2022-09-26 Linfeng Yang , Shifei Chen , Zhaoyang Dong

With the integration of large-scale renewable energy sources to power systems, many optimization methods have been applied to solve the stochastic/uncertain transmission-constrained unit commitment (TCUC) problem. Among all methods,…

Optimization and Control · Mathematics 2018-10-18 Xuan Li , Qiaozhu Zhai , Xiaohong Guan

In low-carbon grids, system flexibility can be enhanced through mechanisms such as Demand Response (DR), enabling the efficient utilization of renewable energy. However, as Synchronous Generators (SGs) are being replaced by renewable energy…

Systems and Control · Electrical Eng. & Systems 2026-01-23 Peng Wang , Zhengmao Li , Luis Badesa

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

We consider a microgrid with random load realization, stochastic renewable energy production, and an energy storage unit. The grid controller provides the total net load trajectory that the microgrid should present to the main grid and the…

Optimization and Control · Mathematics 2016-11-29 Ashkan Zeinalzadeh , Vijay Gupta

In container terminal yards, the Container Rehandling Problem (CRP) involves rearranging containers between stacks under specific operational rules, and it is a pivotal optimization challenge in intelligent container scheduling systems.…

Artificial Intelligence · Computer Science 2025-04-22 Ruoqi Wang , Jiawei Li

This paper considers the problem of online feedback optimization to solve the AC Optimal Power Flow in real-time in power grids. This consists in continuously driving the controllable power injections and loads towards the optimal…

Systems and Control · Electrical Eng. & Systems 2021-11-18 Miguel Picallo , Saverio Bolognani , Florian Dörfler

In hybrid Model Predictive Control (MPC), a Mixed-Integer Quadratic Program (MIQP) is solved at each sampling time to compute the optimal control action. Although these optimizations are generally very demanding, in MPC we expect…

Systems and Control · Electrical Eng. & Systems 2020-04-01 Tobia Marcucci , Russ Tedrake

Recent works have demonstrated that large quantum circuits can be cut and decomposed into smaller clusters of quantum circuits with fewer qubits that can be executed independently on a small quantum computer. Classical post-processing then…

Quantum Physics · Physics 2022-11-15 Gideon Uchehara , Tor M. Aamodt , Olivia Di Matteo

To mitigate the vulnerability of distribution grids to severe weather events, some electric utilities use preemptive de-energization as the primary line of defense, causing significant power outages. In such instances, networked microgrids…

Optimization and Control · Mathematics 2024-04-05 Hannah Moring , Harsha Nagarajan , Kshitij Girigoudar , David M. Fobes , Johanna L. Mathieu

Security-constrained unit commitment (SCUC) model is used for power system day-ahead scheduling. However, current SCUC model uses a static network to deliver power and meet demand optimally. A dynamic network can provide a lower optimal…

Optimization and Control · Mathematics 2021-12-16 Arun Venkatesh Ramesh , Xingpeng Li , Kory W. Hedman

A microgrid is an innovative system that integrates distributed energy resources to supply electricity demand within electrical boundaries. This study proposes an approach for deriving a desirable microgrid operation policy that enables…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Hyungjun Park , Daiki Min , Jong-hyun Ryu , Dong Gu Choi

The increasing integration of renewable energy sources and distributed energy resources (DER) into modern power systems introduces significant uncertainty, posing challenges for maintaining grid flexibility and reliability. Hybrid energy…

Systems and Control · Electrical Eng. & Systems 2025-10-31 Tanmay Mishra , Dakota Hamilton , Mads R. Almassalkhi

We study a job shop scheduling problem for an automatized robot in a high-throughput laboratory and a travelling salesperson problem with recently proposed digitized counterdiabatic quantum optimization (DCQO)algorithms. In DCQO, we find…

Leveraging the current generation of quantum devices to solve optimization problems of practical interest necessitates the development of hybrid quantum-classical (HQC) solution approaches. In this paper, a multi-cut Benders decomposition…

Quantum Physics · Physics 2023-02-14 Nikolaos G. Paterakis

A robust power scheduling algorithm is proposed to schedule power flow between the main electricity grid and a microgird with solar energy generation and battery energy storage subject to uncertainty in solar energy production. To avoid…

Systems and Control · Computer Science 2019-02-22 Amir Valibeygi , Abdulelah H. Habib , Raymond A. de Callafon

This paper addresses the optimal operation problem of a PV-diesel microgrid considering grid blackouts, which is a usual case of discontinuous power supply in developing countries. The model of a grid-connected PV-diesel microgrid is…

Optimization and Control · Mathematics 2018-06-27 Mansour Alramlawi , Ayeni Femi Timothy , Aouss Gabash , Erfan Mohagheghi , Pu Li

In this paper, we propose a cross-layer scheduling algorithm that achieves a throughput "epsilon-close" to the optimal throughput in multi-hop wireless networks with a tradeoff of O(1/epsilon) in delay guarantees. The algorithm aims to…

Information Theory · Computer Science 2011-01-26 Dongyue Xue , Eylem Ekici

An optimal control problem is studied for a linear mean-field stochastic differential equation with a quadratic cost functional. The coefficients and the weighting matrices in the cost functional are all assumed to be deterministic.…

Optimization and Control · Mathematics 2016-02-26 Xun Li , Jingrui Sun , Jiongmin Yong