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This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

Systems and Control · Electrical Eng. & Systems 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

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

In this paper, we present a robust and adaptive model predictive control (MPC) framework for uncertain nonlinear systems affected by bounded disturbances and unmodeled nonlinearities. We use Gaussian Processes (GPs) to learn the uncertain…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Mathieu Dubied , Amon Lahr , Melanie N. Zeilinger , Johannes Köhler

In this paper we propose a constrained guaranteed cost robust model predictive controller (GCMPC) for uncertain discrete time systems. This controller was developed based on a quadratic cost functional and guarantee robustness with respect…

Optimization and Control · Mathematics 2018-09-21 Carlos M. Massera , Marco H. Terra , Denis F. Wolf

This paper presents a distributionally robust stochastic model predictive control (SMPC) approach for linear discrete-time systems subject to unbounded and correlated additive disturbances. We consider hard input constraints and state…

Optimization and Control · Mathematics 2021-09-21 Christoph Mark , Steven Liu

We consider the problem of robust and adaptive model predictive control (MPC) of a linear system, with unknown parameters that are learned along the way (adaptive), in a critical setting where failures must be prevented (robust). This…

Machine Learning · Computer Science 2020-10-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

Long prediction horizons in Model Predictive Control (MPC) often prove to be efficient, however, this comes with increased computational cost. Recently, a Robust Model Predictive Control (RMPC) method has been proposed which exploits models…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Tim Brüdigam , Johannes Teutsch , Dirk Wollherr , Marion Leibold

Model predictive control (MPC) is pervasive in research and industry. However, designing the cost function and the constraints of the MPC to maximize closed-loop performance remains an open problem. To achieve optimal tuning, we propose a…

Optimization and Control · Mathematics 2024-12-02 Riccardo Zuliani , Efe C. Balta , John Lygeros

Robots must satisfy safety-critical state and input constraints despite disturbances and model mismatch. We introduce a robust model predictive control (RMPC) formulation that is fast, scalable, and compatible with real-time implementation.…

Optimization and Control · Mathematics 2025-09-24 Antoine P. Leeman , Johannes Köhler , Melanie N. Zeilinger

We present a learning model predictive control (MPC) scheme for chance-constrained Markov jump systems with unknown switching probabilities. Using samples of the underlying Markov chain, ambiguity sets of transition probabilities are…

Optimization and Control · Mathematics 2023-01-06 Mathijs Schuurmans , Panagiotis Patrinos

The paper considers constrained linear systems with stochastic additive disturbances and noisy measurements transmitted over a lossy communication channel. We propose a model predictive control (MPC) law that minimizes a discounted cost…

Optimization and Control · Mathematics 2020-05-08 Shuhao Yan , Mark Cannon , Paul Goulart

A comprehensive approach addressing identification and control for learningbased Model Predictive Control (MPC) for linear systems is presented. The design technique yields a data-driven MPC law, based on a dataset collected from the…

Systems and Control · Computer Science 2018-10-31 Enrico Terzi , Lorenzo Fagiano , Marcello Farina , Riccardo Scattolini

We consider the problem of bridging the gap between geometric tracking control theory and implementation of model predictive control (MPC) for robotic systems operating on manifolds. We propose a generic on-manifold MPC formulation based on…

Robotics · Computer Science 2021-06-30 Guozheng Lu , Wei Xu , Fu Zhang

This paper presents a distributed stochastic model predictive control (SMPC) approach for large-scale linear systems with private and common uncertainties in a plug-and-play framework. Using the so-called scenario approach, the centralized…

Optimization and Control · Mathematics 2019-01-09 V. Rostampour , T. Keviczky

Model Predictive Control is an extremely effective control method for systems with input and state constraints. Model Predictive Control performance heavily depends on the accuracy of the open-loop prediction. For systems with uncertainty…

Optimization and Control · Mathematics 2022-07-27 Francesco Micheli , John Lygeros

This paper presents two explicit Model Predictive Control formulations for linear systems parameterized in terms of design variables. Such parameter dependent behavior commonly arises from operating point dependent linearization of…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Carlos J. G. Rojas , Esteban Lage Cano , Leyla Özkan

Dual control addresses the trade-off between exploitation and exploration, where control inputs both regulate the system and generate informative data for estimation and identification. For certain problem classes, control and estimation…

Optimization and Control · Mathematics 2026-04-08 Tren Baltussen , Nathan P. Lawrence , Alexander Katriniok , Ali Mesbah , Maurice Heemels

We propose a robust data-driven model predictive control (MPC) scheme to control linear time-invariant (LTI) systems. The scheme uses an implicit model description based on behavioral systems theory and past measured trajectories. In…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We propose an approach to design a Model Predictive Controller (MPC) for constrained Linear Time Invariant systems performing an iterative task. The system is subject to an additive disturbance, and the goal is to learn to satisfy state and…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Monimoy Bujarbaruah , Akhil Shetty , Kameshwar Poolla , Francesco Borrelli

In this paper, we provide a theoretical analysis of closed-loop properties of a simple data-driven model predictive control (MPC) scheme. The formulation does not involve any terminal ingredients, thus allowing for a simple implementation…

Optimization and Control · Mathematics 2024-12-04 Joscha Bongard , Julian Berberich , Johannes Köhler , Frank Allgöwer
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