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We present a novel data-driven model predictive control (MPC) approach to control unknown nonlinear systems using only measured input-output data with closed-loop stability guarantees. Our scheme relies on the data-driven system…

Optimization and Control · Mathematics 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

Systems and Control · Electrical Eng. & Systems 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

This paper presents a deep learning based model predictive control algorithm for control affine nonlinear discrete time systems with matched and bounded state dependent uncertainties of unknown structure. Since the structure of…

Optimization and Control · Mathematics 2021-09-28 Prabhat K. Mishra , Mateus V. Gasparino , Andres E. B. Velsasquez , Girish Chowdhary

This paper introduces a novel method for robust output-feedback model predictive control (MPC) for a class of nonlinear discrete-time systems. We propose a novel interval-valued predictor which, given an initial estimate of the state,…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Scott Brown , Mohammad Khajenejad , Aamodh Suresh , Sonia Martinez

This paper discusses a novel probabilistic approach for the design of robust model predictive control (MPC) laws for discrete-time linear systems affected by parametric uncertainty and additive disturbances. The proposed technique is based…

Systems and Control · Computer Science 2013-07-16 Giuseppe C. Calafiore , Lorenzo Fagiano

We present a robust adaptive model predictive control (MPC) framework for nonlinear continuous-time systems with bounded parametric uncertainty and additive disturbance. We utilize general control contraction metrics (CCMs) to parameterize…

Systems and Control · Electrical Eng. & Systems 2023-07-12 András Sasfi , Melanie N. Zeilinger , Johannes Köhler

By optimizing the predicted performance over a receding horizon, model predictive control (MPC) provides the ability to enforce state and control constraints. The present paper considers an extension of MPC for nonlinear systems that can be…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Mohammadreza Kamaldar , Dennis S. Bernstein

In this paper we propose a stochastic model predictive control (MPC) algorithm for linear discrete-time systems affected by possibly unbounded additive disturbances and subject to probabilistic constraints. Constraints are treated in…

Systems and Control · Computer Science 2019-02-15 Lukas Hewing , Melanie N. Zeilinger

Model predictive control is a control approach that minimizes a stage cost over a predicted system trajectory based on a model of the system and is capable of handling state and input constraints. For uncertain models, robust or adaptive…

Systems and Control · Electrical Eng. & Systems 2022-06-29 Francisco Moreno-Mora , Lukas Beckenbach , Stefan Streif

This paper presents an adaptive tracking model predictive control (MPC) scheme to control unknown nonlinear systems based on an adaptively estimated linear model. The model is determined based on linear system identification using a moving…

Systems and Control · Electrical Eng. & Systems 2024-05-17 Tatiana Strelnikova , Johannes Köhler , Julian Berberich

We present a model predictive control (MPC) framework for nonlinear stochastic systems that ensures safety guarantee with high probability. Unlike most existing stochastic MPC schemes, our method adopts a set-erosion that converts the…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Zishun Liu , Liqian Ma , Yongxin Chen

An output feedback model predictive control (MPC) framework with adaptive tubes is proposed for linear time-invariant systems subject to parametric and additive uncertainties. An adaptive observer provides point estimates of the system…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Anchita Dey , Shubhendu Bhasin

We propose model predictive funnel control, a novel model predictive control (MPC) scheme building upon recent results in funnel control. The latter is a high-gain feedback methodology that achieves evolution of the measured output within…

Optimization and Control · Mathematics 2025-05-27 Jens Göbel , Dario Dennstädt , Lukas Lanza , Karl Worthmann , Thomas Berger , Tobias Damm

Controller design faces a trade-off between robustness and performance, and the reliability of linear controllers has caused many practitioners to focus on the former. However, there is renewed interest in improving system performance to…

Optimization and Control · Mathematics 2012-08-07 Anil Aswani , Humberto Gonzalez , S. Shankar Sastry , Claire Tomlin

Model Predictive Control (MPC) offers a versatile framework for constraint handling and multi-objective optimisation, yet practical application faces challenges regarding initial and recursive feasibility, robustness against model…

Optimization and Control · Mathematics 2026-02-27 Dario Dennstädt

Model Predictive Control (MPC) has established itself as the primary methodology for constrained control, enabling autonomy across diverse applications. While model fidelity is crucial in MPC, solving the corresponding optimization problem…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Lukas Schroth , Daniel Morton , Amon Lahr , Daniele Gammelli , Andrea Carron , Marco Pavone

In this paper, we present a nonlinear robust model predictive control (MPC) framework for general (state and input dependent) disturbances. This approach uses an online constructed tube in order to tighten the nominal (state and input)…

Systems and Control · Electrical Eng. & Systems 2020-06-05 Johannes Köhler , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

The paper investigates the accuracy of the Model Predictive Control (MPC) method for finding online approximate optimal feedback control for Bolza type problems on a fixed finite horizon. The predictions for the dynamics, the state…

Optimization and Control · Mathematics 2025-11-17 Georgi Angelov , Alberto Domínguez Corella , Vladimir Veliov

The stability of stochastic Model Predictive Control (MPC) subject to additive disturbances is often demonstrated in the literature by constructing Lyapunov-like inequalities that ensure closed-loop performance bounds and boundedness of the…

Optimization and Control · Mathematics 2020-04-07 Diego Muñoz-Carpintero , Mark Cannon

We consider sampled-data Model Predictive Control (MPC) of nonlinear continuous-time control systems. We derive sufficient conditions to guarantee recursive feasibility and asymptotic stability without stabilising costs and/or constraints.…

Optimization and Control · Mathematics 2021-03-03 Willem Esterhuizen , Karl Worthmann , Stefan Streif