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This paper presents a systematic method for the selection of the Model Predictive Control (MPC) stage cost. We match the MPC feedback law to a proportional-integral (PI) controller, which we efficiently tune by high-performance Monte Carlo…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Morten Ryberg Wahlgreen , John Bagterp Jørgensen , Mario Zanon

Model Predictive Control (MPC) is a powerful control strategy widely utilized in domains like energy management, building control, and autonomous systems. However, its effectiveness in real-world settings is challenged by the need to…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Ruixiang Wu , Jiahao Ai , Tongxin Li

This work evaluates and analyzes the combination of imitation learning (IL) and differentiable model predictive control (MPC) for the application of human-like autonomous driving. We combine MPC with a hierarchical learning-based policy,…

Robotics · Computer Science 2023-06-27 Flavia Sofia Acerbo , Jan Swevers , Tinne Tuytelaars , Tong Duy Son

We propose a novel robust Model Predictive Control (MPC) scheme for nonlinear multi-input multi-output systems of relative degree one with stable internal dynamics. The proposed algorithm is a combination of funnel MPC, i.e., MPC with a…

Optimization and Control · Mathematics 2023-12-13 Thomas Berger , Dario Dennstädt , Lukas Lanza , Karl Worthmann

Model predictive control (MPC) is a de facto standard control algorithm across the process industries. There remain, however, applications where MPC is impractical because an optimization problem is solved at each time step. We present a…

Optimization and Control · Mathematics 2019-07-10 Robert J. Lovelett , Felix Dietrich , Seungjoon Lee , Ioannis G. Kevrekidis

Periodic dynamical systems, distinguished by their repetitive behavior over time, are prevalent across various engineering disciplines. In numerous applications, particularly within industrial contexts, the implementation of model…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Jose A. Borja-Conde , Juan M. Nadales , Filiberto Fele , Daniel Limon

We propose a purely data-driven model predictive control (MPC) scheme to control unknown linear time-invariant systems with guarantees on stability and constraint satisfaction in the presence of noisy data. The scheme predicts future…

Systems and Control · Electrical Eng. & Systems 2021-03-25 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Solving chance-constrained optimal control problems for systems subject to non-stationary uncertainties is a significant challenge.Conventional robust model predictive control (MPC) often yields excessive conservatism by relying on static…

Systems and Control · Electrical Eng. & Systems 2025-07-16 Mingcong Li

Neural networks are lately more and more often being used in the context of data-driven control, as an approximate model of the true system dynamics. Model Predictive Control (MPC) adopts this practise leading to neural MPC strategies. This…

Systems and Control · Electrical Eng. & Systems 2024-06-05 Spyridon Syntakas , Kostas Vlachos

This paper proposes a stochastic model predictive control method for linear systems affected by additive Gaussian disturbances that optimizes over disturbance feedback matrices online. Closed-loop satisfaction of probabilistic constraints…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Marcell Bartos , Alexandre Didier , Jerome Sieber , Johannes Köhler , Melanie N. Zeilinger

We propose a stochastic MPC scheme using an optimization over the initial state for the predicted trajectory. Considering linear discrete-time systems under unbounded additive stochastic disturbances subject to chance constraints, we use…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Henning Schlüter , Frank Allgöwer

Harmonic model predictive control (HMPC) is a recent model predictive control (MPC) formulation for tracking piece-wise constant references that includes a parameterized artificial harmonic reference as a decision variable, resulting in an…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Pablo Krupa , Daniel Limon , Alberto Bemporad , Teodoro Alamo

In this paper, we present a data-driven model predictive control (MPC) scheme that is capable of stabilizing unknown linear time-invariant systems under the influence of process disturbances. To this end, Willems' lemma is used to predict…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Christian Klöppelt , Julian Berberich , Frank Allgöwer , Matthias A. Müller

Modern engineering systems, such as autonomous vehicles, flexible robotics, and intelligent aerospace platforms, require controllers that are robust to uncertainties, adaptive to environmental changes, and safety-aware under real-time…

Robotics · Computer Science 2025-12-16 Patrick Kostelac , Xuerui Wang , Anahita Jamshidnejad

We study unconstrained and constrained linear quadratic problems and investigate the suboptimality of the model predictive control (MPC) method applied to such problems. Considering MPC as an approximate scheme for solving the related fixed…

Optimization and Control · Mathematics 2023-06-06 Yuchao Li , Aren Karapetyan , John Lygeros , Karl H. Johansson , Jonas Mårtensson

Despite decades of research, existing navigation systems still face real-world challenges when deployed in the wild, e.g., in cluttered home environments or in human-occupied public spaces. To address this, we present a new class of…

Approximating nonlinear systems as linear ones is a common workaround to apply control tools tailored for linear systems. This motivates our present work where we developed a data-driven model predictive controller (MPC) based on the…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Adriano del Río , Christoph Stoeffler

This paper proposes an adaptive stochastic Model Predictive Control (MPC) strategy for stable linear time invariant systems in the presence of bounded disturbances. We consider multi-input multi-output systems that can be expressed by a…

Systems and Control · Computer Science 2018-12-03 Monimoy Bujarbaruah , Xiaojing Zhang , Francesco Borrelli

Model Predictive Control (MPC) can efficiently control constrained systems in real-time applications. MPC feedback law for a linear system with linear inequality constraints can be explicitly computed off-line, which results in an off-line…

Systems and Control · Computer Science 2016-06-13 Andrew Knyazev , Peizhen Zhu , Stefano Di Cairano

We establish a collection of closed-loop guarantees and propose a scalable optimization algorithm for distributionally robust model predictive control (DRMPC) applied to linear systems, convex constraints, and quadratic costs. Via standard…

Optimization and Control · Mathematics 2024-11-13 Robert D. McAllister , Peyman Mohajerin Esfahani