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Alternating-Current Optimal Power Flow (AC-OPF) is framed as a NP-hard non-convex optimization problem that solves for the most economical dispatch of grid generation given the AC-network and device constraints. Although there are no…

Optimization and Control · Mathematics 2023-08-29 Amritanshu Pandey , Aayushya Agarwal , Larry Pileggi

Grid-connected inverter control is challenging to implement due to the difficulty of obtaining and maintaining an accurate grid model. Direct Data-Driven Predictive Control provides a model-free alternative to traditional model-based…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Sebastian Graf , Keith Moffat , Anurag Mohapatra , Alessandro Chiuso , Florian Dörfler

We present a differentiable predictive control (DPC) methodology for learning constrained control laws for unknown nonlinear systems. DPC poses an approximate solution to multiparametric programming problems emerging from explicit nonlinear…

Systems and Control · Electrical Eng. & Systems 2021-07-27 Jan Drgona , Aaron Tuor , Soumya Vasisht , Elliott Skomski , Draguna Vrabie

Model Predictive Control (MPC) is among the most widely adopted and reliable methods for robot control, relying critically on an accurate dynamics model. However, existing dynamics models used in the gradient-based MPC are limited by…

Robotics · Computer Science 2025-08-11 Jan Węgrzynowski , Piotr Kicki , Grzegorz Czechmanowski , Maciej Krupka , Krzysztof Walas

Generalized Disjunctive Programming (GDP) provides an alternative framework to model optimization problems with both discrete and continuous variables. The key idea behind GDP involves the use of logical disjunctions to represent discrete…

Optimization and Control · Mathematics 2020-01-20 Arnab Bhattacharya , Xu Ma , Draguna Vrabie

Control co-design (CCD) is a technique for improving the closed-loop performance of systems through the coordinated design of both plant parameters and an optimal control policy. While model predictive control (MPC) is an attractive control…

Systems and Control · Electrical Eng. & Systems 2023-04-18 Austin L. Nash , Herschel C. Pangborn , Neera Jain

We show that the explicit realization of data-driven predictive control (DPC) for linear deterministic systems is more tractable than previously thought. To this end, we compare the optimal control problems (OCP) corresponding to…

Systems and Control · Electrical Eng. & Systems 2023-04-18 Manuel Klädtke , Dieter Teichrib , Nils Schlüter , Moritz Schulze Darup

Model Predictive Control (MPC) is often tuned by trial and error. When a baseline linear controller exists that is already well tuned in the absence of constraints and MPC is introduced to enforce them, one would like to avoid altering the…

Systems and Control · Electrical Eng. & Systems 2021-11-01 Mario Zanon , Alberto Bemporad

We consider the problem of training generative models with deep neural networks as generators, i.e. to map latent codes to data points. Whereas the dominant paradigm combines simple priors over codes with complex deterministic models, we…

Machine Learning · Statistics 2017-07-31 Yannic Kilcher , Aurélien Lucchi , Thomas Hofmann

Model Predictive Control (MPC) is widely used to operate safety-critical infrastructure by predicting future trajectories and optimizing control actions. However, nonlinear dynamics, hard safety constraints, and numerical optimization often…

Artificial Intelligence · Computer Science 2026-05-12 Ramesh Arvind Naagarajan , Zühal Wagner , Stefan Streif

While automatically generated polynomial elimination templates have sparked great progress in the field of 3D computer vision, there remain many problems for which the degree of the constraints or the number of unknowns leads to…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Xinyue Zhang , Zijia Dai , Wanting Xu , Laurent Kneip

In order to deal with issues caused by the increasing penetration of renewable resources in power systems, this paper proposes a novel distributed frequency control algorithm for each generating unit and controllable load in a transmission…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Luwei Yang , Tao Liu , Zhiyuan Tang , David J. Hill

In chemical process applications, model predictive control effectively deals with input and state constraints during transient operations. However, industrial PID controllers directly manipulates the actuators, so they play the key role in…

Systems and Control · Computer Science 2013-05-29 Minh Hoang-Tuan Nguyen , Kok Kiong Tan

Through a redefinition of patterns in an Hopfield-like model, we introduce and develop an approach to model discrete systems made up of many, interacting components with inner degrees of freedom. Our approach clarifies the intrinsic…

Statistical Mechanics · Physics 2015-05-19 Elena Agliari , Adriano Barra

We derive a method to study the phase diagram for high temperature superconductors (HTCS). Our starting point is the Hubbard Hamiltonian with a weak attractive interaction to obtain the formation of bound pairs. We consider this attractive…

Condensed Matter · Physics 2009-10-28 Evandro V. L. de Mello

We demonstrate the existence of confined states in one- and two-dimensional (1D and 2D) systems of two linearly-coupled components, with the confining harmonic-oscillator (HO) potential acting upon one component, and an expulsive anti-HO…

Pattern Formation and Solitons · Physics 2022-04-13 Nir Hacker , Boris A. Malomed

In many real-world scenarios, it is crucial to be able to reliably and efficiently reason under uncertainty while capturing complex relationships in data. Probabilistic circuits (PCs), a prominent family of tractable probabilistic models,…

Machine Learning · Computer Science 2023-12-14 Zhongjie Yu , Martin Trapp , Kristian Kersting

It has long been noticed that high dimension data exhibits strange patterns. This has been variously interpreted as either a "blessing" or a "curse", causing uncomfortable inconsistencies in the literature. We propose that these patterns…

Computer Vision and Pattern Recognition · Computer Science 2020-03-18 Wen-Yan Lin

We investigate model predictive control (MPC) formulations for linear systems subject to i.i.d. stochastic disturbances with bounded support and chance constraints. Existing stochastic MPC formulations with closed-loop guarantees can be…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Johannes Köhler , Ferdinand Geuss , Melanie N. Zeilinger

At the LHC combinatorics make it unlikely that we will be able to observe stop pair production with a decay to a semi-leptonic top pair and missing energy for generic supersymmetric mass spectra. Using a Standard-Model top tagger on fully…

High Energy Physics - Phenomenology · Physics 2015-05-19 Tilman Plehn , Michael Spannowsky , Michihisa Takeuchi , Dirk Zerwas