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We propose a novel approach to solving input- and state-constrained parametric mixed-integer optimal control problems using Differentiable Predictive Control (DPC). Our approach follows the differentiable programming paradigm by learning an…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Ján Boldocký , Shahriar Dadras Javan , Martin Gulan , Martin Mönnigmann , Ján Drgoňa

This work presents a whole-year simulation study on nonlinear mixed-integer Model Predictive Control (MPC) for a complex thermal energy supply system which consists of a heat pump, stratified water storages, free cooling facilities, and a…

Optimization and Control · Mathematics 2019-05-23 Adrian Bürger , Markus Bohlayer , Sarah Hoffmann , Angelika Altmann-Dieses , Marco Braun , Moritz Diehl

We consider the problem of optimal control of district cooling energy plants (DCEPs) consisting of multiple chillers, a cooling tower, and a thermal energy storage (TES), in the presence of time-varying electricity price. A straightforward…

Systems and Control · Electrical Eng. & Systems 2023-10-09 Zhong Guo , Aditya Chaudhari , Austin R. Coffman , Prabir Barooah

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

In this paper, we study a problem of controlling cooling facilities and computational equipments for energy-efficient operations of data centers. Although a plethora of approaches have been proposed in previous literatures, there is a lack…

Optimization and Control · Mathematics 2019-03-19 Masaki Ogura , Jianxiong Wan , Shoji Kasahara

We develop a novel form of differentiable predictive control (DPC) with safety and robustness guarantees based on control barrier functions. DPC is an unsupervised learning-based method for obtaining approximate solutions to explicit model…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Wenceslao Shaw Cortez , Jan Drgona , Aaron Tuor , Mahantesh Halappanavar , Draguna Vrabie

We propose a dual dynamic integer programming (DDIP) framework for solving multi-scale mixed-integer model predictive control (MPC) problems. Such problems arise in applications that involve long horizons and/or fine temporal…

Optimization and Control · Mathematics 2020-07-21 Ranjeet Kumar , Michael J. Wenzel , Mohammad N. ElBsat , Michael J. Risbeck , Kirk H. Drees , Victor M. Zavala

For the application of MPC design in on-line regulation or tracking control problems, several studies have attempted to develop an accurate model, and realize adequate uncertainty description of linear or non-linear plants of the processes.…

Optimization and Control · Mathematics 2019-04-03 Yuanqiang Zhou , Dewei Li , Yugeng Xi , Zhongxue Gan

This paper presents a model predictive control (MPC) for dynamic systems whose nonlinearity and uncertainty are modelled by deep neural networks (NNs), under input and state constraints. Since the NN output contains a high-order complex…

Systems and Control · Electrical Eng. & Systems 2024-05-20 Jianglin Lan

We present differentiable predictive control (DPC) as a deep learning-based alternative to the explicit model predictive control (MPC) for unknown nonlinear systems. In the DPC framework, a neural state-space model is learned from…

Systems and Control · Electrical Eng. & Systems 2021-07-27 Jan Drgona , Karol Kis , Aaron Tuor , Draguna Vrabie , Martin Klauco

Model Predictive Control (MPC) is effective at generating safe control strategies in constrained scenarios, at the cost of computational complexity. This is especially the case in robots that require high sampling rates and have limited…

Application of nonlinear model predictive control (NMPC) to problems with hybrid dynamical systems, disjoint constraints, or discrete controls often results in mixed-integer formulations with both continuous and discrete decision variables.…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Christopher A. Orrico , W. P. M. H. Heemels , Dinesh Krishnamoorthy

We present differentiable predictive control (DPC), a method for learning constrained neural control policies for linear systems with probabilistic performance guarantees. We employ automatic differentiation to obtain direct policy…

Systems and Control · Electrical Eng. & Systems 2022-01-28 Jan Drgona , Aaron Tuor , Draguna Vrabie

In this paper, we propose an economic nonlinear model predictive control (MPC) algorithm for district heating networks (DHNs). The proposed method features prosumers, multiple producers, and storage systems, which are essential components…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Max Sibeijn , Saeed Ahmed , Mohammad Khosravi , Tamás Keviczky

Model predictive control (MPC) is promising for fueling and core density feedback control in nuclear fusion tokamaks, where the primary actuators, frozen hydrogen fuel pellets fired into the plasma, are discrete. Previous density feedback…

Systems and Control · Electrical Eng. & Systems 2023-06-02 Christopher A. Orrico , Matthijs van Berkel , Thomas O. S. J. Bosman , W. P. M. H. Heemels , Dinesh Krishnamoorthy

Mixed-integer model predictive control (MI-MPC) requires the solution of a mixed-integer quadratic program (MIQP) at each sampling instant under strict timing constraints, where part of the state and control variables can only assume a…

Optimization and Control · Mathematics 2019-03-22 Pedro Hespanhol , Rien Quirynen , Stefano Di Cairano

In this paper, a distributed Model Predictive Control strategy is developed for a multi zone building plant with disturbances. The control objective is to maintain each zones temperature at a specified level with the minimum cost of the…

Systems and Control · Computer Science 2019-02-28 Roja Eini , Sherif Abdelwahed

Today's fast linear algebra and numerical optimization tools have pushed the frontier of model predictive control (MPC) forward, to the efficient control of highly nonlinear and hybrid systems. The field of hybrid MPC has demonstrated that…

Optimization and Control · Mathematics 2020-05-11 Jia-Jie Zhu , Georg Martius

Deterministic model predictive control (MPC), while powerful, is often insufficient for effectively controlling autonomous systems in the real-world. Factors such as environmental noise and model error can cause deviations from the expected…

Optimization and Control · Mathematics 2024-07-29 Alex Oshin , Hassan Almubarak , Evangelos A. Theodorou

This study focuses on operational control strategies for a multi-energy District Heating Network (DHN). Two control strategies are investigated and compared: (i) a reactive rule-based control (RBC) and (ii) a model predictive control (MPC).…

Optimization and Control · Mathematics 2025-06-19 Michael Nikhil Descamps , Nicolas Lamaison , Mathieu Vallee , Roland Baviere
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