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We propose a nonlinear model predictive control (NMPC) framework based on a direct optimal control method that ensures continuous-time constraint satisfaction and accurate evaluation of the running cost, without compromising computational…

Optimization and Control · Mathematics 2024-05-02 Samet Uzun , Purnanand Elango , Abhinav G. Kamath , Taewan Kim , Behcet Acikmese

Recent studies have shown that multi-step optimization based on Model Predictive Control (MPC) can effectively coordinate the increasing number of distributed renewable energy and storage resources in the power system. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-02 Junyao Guo , Gabriela Hug , Ozan Tonguz

This paper presents a deep learning based model predictive control (MPC) algorithm for systems with unmatched and bounded state-action dependent uncertainties of unknown structure. We utilize a deep neural network (DNN) as an oracle in the…

Machine Learning · Computer Science 2023-04-25 Mateus V. Gasparino , Prabhat K. Mishra , Girish Chowdhary

Distributionally robust optimal control (DROC) is gaining interest. This study presents a reformulation method for discrete DROC (DDROC) problems to design optimal control policies under a worst-case distributional uncertainty. The…

Optimization and Control · Mathematics 2025-10-22 Yuma Shida , Yuji Ito

This paper considers linear discrete-time systems with additive disturbances, and designs a Model Predictive Control (MPC) law incorporating a dynamic feedback gain to minimise a quadratic cost function subject to a single chance…

Systems and Control · Electrical Eng. & Systems 2022-03-02 Shuhao Yan , Paul J. Goulart , Mark Cannon

This work presents an explicit-implicit procedure to compute a model predictive control (MPC) law with guarantees on recursive feasibility and asymptotic stability. The approach combines an offline-trained fully-connected neural network…

Machine Learning · Computer Science 2021-07-07 Steven W. Chen , Tianyu Wang , Nikolay Atanasov , Vijay Kumar , Manfred Morari

Time-distributed Optimization (TDO) is an approach for reducing the computational burden of Model Predictive Control (MPC). When using TDO, optimization iterations are distributed over time by maintaining a running solution estimate and…

Optimization and Control · Mathematics 2021-02-25 Dominic Liao-McPherson , Terrence Skibik , Jordan Leung , Ilya Kolmanovsky , Marco M. Nicotra

This paper proposes a novel robust Model Predictive Control (MPC) scheme for linear discrete-time systems affected by model uncertainty described by interval matrices. The key feature of the proposed method is a bound on the uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-02-20 Renato Quartullo , Andrea Garulli , Mirko Leomanni

Various efforts have been devoted to developing stabilizing distributed Model Predictive Control (MPC) schemes for tracking piecewise constant references. In these schemes, terminal sets are usually computed offline and used in the MPC…

Systems and Control · Electrical Eng. & Systems 2021-10-29 Ahmed Aboudonia , Annika Eichler , Francesco Cordiano , Goran Banjac , John Lygeros

This paper introduces a new approach that leverages Multi-agent Bayesian Optimization (MABO) to design Distributed Model Predictive Control (DMPC) schemes for multi-agent systems. The primary objective is to learn optimal DMPC schemes even…

Systems and Control · Electrical Eng. & Systems 2025-05-21 Hossein Nejatbakhsh Esfahani , Kai Liu , Javad Mohammadpour Velni

This paper presents a flexible and modular control scheme based on distributed model predictive control (DMPC) to achieve optimal operation of decentralized energy systems in smart grids. The proposed approach is used to coordinate multiple…

Optimization and Control · Mathematics 2015-08-05 Paul Stadler , Araz Ashouri , Francois Marechal

Distributed and decentralized optimization are key for the control of networked systems. Application examples include distributed model predictive control and distributed sensing or estimation. Non-linear systems, however, lead to problems…

Optimization and Control · Mathematics 2023-07-06 Alexander Engelmann , Gösta Stomberg , Timm Faulwasser

Unlike the classical distributed consensus protocols enabling the group of agents as a whole to reach an agreement regarding a certain quantity of interest in a distributed fashion, the distributed biased min-consensus protocol (DBMC) has…

Systems and Control · Electrical Eng. & Systems 2024-05-15 Yuanqiu Mo , He Wang

The use of machine learning methods helps to improve decision making in different fields. In particular, the idea of bridging predictions (machine learning models) and prescriptions (optimization problems) is gaining attention within the…

Optimization and Control · Mathematics 2022-11-22 Antonio Alcántara , Carlos Ruiz

We present a sample-based Learning Model Predictive Controller (LMPC) for constrained uncertain linear systems subject to bounded additive disturbances. The proposed controller builds on earlier work on LMPC for deterministic systems.…

Systems and Control · Computer Science 2021-01-22 Ugo Rosolia , Francesco Borrelli

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

This work introduces a formulation of model predictive control (MPC) which adaptively reasons about the complexity of the model based on the task while maintaining feasibility and stability guarantees. Existing MPC implementations often…

Robotics · Computer Science 2024-11-07 Joseph Norby , Ardalan Tajbakhsh , Yanhao Yang , Aaron M. Johnson

This paper presents a novel approach to enhance Model Predictive Control (MPC) for legged robots through Distributed Optimization. Our method focuses on decomposing the robot dynamics into smaller, parallelizable subsystems, and utilizing…

Robotics · Computer Science 2025-01-30 Lorenzo Amatucci , Giulio Turrisi , Angelo Bratta , Victor Barasuol , Claudio Semini

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

Optimization and Control · Mathematics 2015-11-24 Yin-Lam Chow , Marco Pavone

In this paper, we design a stochastic Model Predictive Control (MPC) traffic signal control method for an urban traffic network when the uncertainties in the estimation of the exogenous (in/out)-flows and the turning ratios of downstream…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Viet Hoang Pham , Hyo-Sung Ahn