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Model predictive control (MPC) for tracking is a recently introduced approach, which extends standard MPC formulations by incorporating an artificial reference as an additional optimization variable, in order to track external and…

Systems and Control · Electrical Eng. & Systems 2025-08-25 Nadine Ehmann , Matthias Köhler , Frank Allgöwer

We propose a data-driven Model Predictive Control (MPC) framework that employs a transformer encoder to generate multi-step predictions. To handle the nonconvex attention mechanism, we derive difference of convex (DC) representations of the…

Optimization and Control · Mathematics 2026-05-15 Xingxiao Chen , Mark Cannon

Model predictive control (MPC) is a powerful control method that handles dynamical systems with constraints. However, solving MPC iteratively in real time, i.e., implicit MPC, remains a computational challenge. To address this, common…

Systems and Control · Electrical Eng. & Systems 2022-08-03 Fangyu Wu , Guanhua Wang , Siyuan Zhuang , Kehan Wang , Alexander Keimer , Ion Stoica , Alexandre Bayen

This thesis is concerned with the rejection of time-varying disturbances in linear model predictive control of discrete-time systems. In the literature, disturbances are widely rejected by using velocity models, disturbance model with…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Isah Abdulrasheed Jimoh

We study sparse solutions of optimal control problems governed by PDEs with uncertain coefficients. We propose two formulations, one where the solution is a deterministic control optimizing the mean objective, and a formulation aiming at…

Numerical Analysis · Mathematics 2018-11-20 Chen Li , Georg Stadler

We propose a model predictive control (MPC) approach for minimising the social distancing and quarantine measures during a pandemic while maintaining a hard infection cap. To this end, we study the admissible and the maximal robust…

Optimization and Control · Mathematics 2022-05-05 Philipp Sauerteig , Willem Esterhuizen , Mitsuru Wilson , Tobias K. S. Ritschel , Karl Worthmann , Stefan Streif

This paper presents a novel approach for distributed model predictive control (MPC) for piecewise affine (PWA) systems. Existing approaches rely on solving mixed-integer optimization problems, requiring significant computation power or…

Optimization and Control · Mathematics 2025-01-06 Samuel Mallick , Azita Dabiri , Bart De Schutter

Linear Model Predictive Control (MPC) is a widely used method to control systems with linear dynamics. Efficient interior-point methods have been proposed which leverage the block diagonal structure of the quadratic program (QP) resulting…

Optimization and Control · Mathematics 2021-09-09 Kai Pfeiffer , Ludovic Righetti

We present a nonlinear model predictive control (MPC) scheme for tracking of dynamic target signals. The scheme combines stabilization and dynamic trajectory planning in one layer, thus ensuring constraint satisfaction irrespective of…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Model predictive control (MPC) has been successful in applications involving the control of complex physical systems. This class of controllers leverages the information provided by an approximate model of the system's dynamics to simulate…

Machine Learning · Computer Science 2020-10-09 Rel Guzman , Rafael Oliveira , Fabio Ramos

Current model-free adaptive control (MFAC) can hardly deal with the time delay problem in multiple-input multiple-output (MIMO) systems. To solve this problem, a novel model-free adaptive predictive control (MFAPC) method is proposed.…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Feilong Zhang

In model-predictive control (MPC), achieving the best closed-loop performance under a given computational resource is the underlying design consideration. This paper analyzes the MPC design problem with control performance and required…

Optimization and Control · Mathematics 2016-04-25 Vincent Bachtiar , Chris Manzie , William H. Moase , Eric C. Kerrigan

Model Predictive Control (MPC) has proven to be a powerful tool for the control of systems with constraints. Nonetheless, in many applications, a major challenge arises, that is finding the optimal solution within a single sampling instant…

Systems and Control · Electrical Eng. & Systems 2023-08-16 Valentina Breschi , Simone Formentin , Alberto Leva

Optimization-based controllers, such as Model Predictive Control (MPC), have attracted significant research interest due to their intuitive concept, constraint handling capabilities, and natural application to multi-input multi-output…

Systems and Control · Electrical Eng. & Systems 2024-10-24 S. A. N. Nouwens , M. M. Paulides , W. P. M. H. Heemels

Trial-and-error based reinforcement learning (RL) has seen rapid advancements in recent times, especially with the advent of deep neural networks. However, the majority of autonomous RL algorithms require a large number of interactions with…

Systems and Control · Computer Science 2018-02-23 Sanket Kamthe , Marc Peter Deisenroth

This paper proposes a real-time model predictive control (MPC) scheme to execute multiple tasks using robots over a finite-time horizon. In industrial robotic applications, we must carefully consider multiple constraints for avoiding joint…

Robotics · Computer Science 2022-09-27 Jaemin Lee , Mingyo Seo , Andrew Bylard , Robert Sun , Luis Sentis

In this paper we propose a new iterative algorithm to solve the fair PCA (FPCA) problem. We start with the max-min fair PCA formulation originally proposed in [1] and derive a simple and efficient iterative algorithm which is based on the…

Machine Learning · Statistics 2023-05-11 Prabhu Babu , Petre Stoica

In this paper, we present a distributed model predictive control (DMPC) scheme for dynamically decoupled systems which are subject to state constraints, coupling state constraints and input constraints. In the proposed control scheme,…

Systems and Control · Electrical Eng. & Systems 2024-08-17 Adrian Wiltz , Fei Chen , Dimos V. Dimarogonas

We study finite-horizon budget allocation as a closed-loop economic control problem and evaluate receding-horizon Model Predictive Control (MPC) relative to reactive budgeting policies. Budgets are allocated periodically under execution…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Nilavra Pathak , Smriti Shyamal , Prasant Mhasker , Christopher Swartz

To address feasibility issues in model predictive control (MPC), most implementations relax state constraints by using slack variables and adding a penalty to the cost. We propose an alternative strategy: relaxing the initial state…

Optimization and Control · Mathematics 2026-02-18 Johannes Köhler , Melanie N. Zeilinger
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