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In this article, a model predictive control (MPC) method is proposed for constrained linear systems to track bounded references with arbitrary dynamics. Besides control inputs to be determined, artificial reference is introduced as…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Shibo Han , Bonan Hou , Yuhao Zhang , Xiaotong Shi , Xingwei Zhao

Model Predictive Control (MPC) is among the most widely adopted and reliable methods for robot control, relying critically on an accurate dynamics model. However, existing dynamics models used in the gradient-based MPC are limited by…

Robotics · Computer Science 2025-08-11 Jan Węgrzynowski , Piotr Kicki , Grzegorz Czechmanowski , Maciej Krupka , Krzysztof Walas

RBM-MPC is a computationally efficient variant of Model Predictive Control (MPC) in which the Random Batch Method (RBM) is used to speed up the finite-horizon optimal control problems at each iteration. In this paper, stability and…

Optimization and Control · Mathematics 2024-03-08 Daniël Veldman , Alexandra Borkowski , Enrique Zuazua

In this paper, we propose a new model predictive control (MPC) formulation for autonomous driving. The novelty of our MPC stems from the following results. Firstly, we adopt an alternating minimization approach wherein linear velocities and…

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Daniel D. Leister , Justin P. Koeln

This paper presents a data-driven Model Predictive Control (MPC) for energy-efficient urban road driving for connected, automated vehicles. The proposed MPC aims to minimize total energy consumption by controlling the vehicle's longitudinal…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Eunhyek Joa , Eric Yongkeun Choi , Francesco Borrelli

Model predictive control (MPC) is a powerful control method that allows to directly include state and input constraints into the controller design. However, errors in the model, e.g., caused by unknown disturbances, can lead to constraint…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Felix Brändle , Frank Allgöwer

Most of the real-time implementations of the stabilizing optimal control actions suffer from the necessity to provide high computational effort. This paper presents a cutting-edge approach for real-time evaluation of linear-quadratic model…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Kristína Fedorová , Yuning Jiang , Juraj Oravec , Colin N. Jones , Michal Kvasnica

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

Model Predictive Control (MPC) method is a class of advanced control techniques most widely applied in industry. The major advantages of the MPC are its straightforward procedure which can be applied for both linear and nonlinear system.…

Systems and Control · Computer Science 2017-04-17 Mohammad Amin , Marta Molinas

We propose a model predictive control (MPC) scheme with sampled-data input which ensures output-reference tracking within prescribed error bounds for relative-degree-one systems. Hereby, we explicitly deduce bounds on the required maximal…

Optimization and Control · Mathematics 2024-03-28 Dario Dennstädt , Lukas Lanza , Karl Worthmann

This paper investigates the design of a robust output-feedback linear parameter-varying (LPV) gain-scheduled controller for the speed regulation of a surface permanent magnet synchronous motor (SPMSM). Motor dynamics is defined in the…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Shahin Tasoujian , Jaecheol Lee , Karolos Grigoriadis , Matthew Franchek

Sequential and terminal constraint feasibility of the model predictive control (MPC) play important roles in ensuring MPC control continuity. This study thus investigates these two properties theoretically using an MPC model for vehicle…

Optimization and Control · Mathematics 2022-06-24 Hanyu Zhang , Lili Du

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

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

Model Predictive Control (MPC) is the principal control technique used in industrial applications. Although it offers distinguishable qualities that make it ideal for industrial applications, it can be questioned its robustness regarding…

Optimization and Control · Mathematics 2017-03-16 Alberto Zenere , Mattia Zorzi

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

Model predictive control (MPC) is a popular strategy for urban traffic management that is able to incorporate physical and user defined constraints. However, the current MPC methods rely on finite horizon predictions that are unable to…

Systems and Control · Computer Science 2016-02-03 Sadra Sadraddini , Calin Belta

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

A robust model predictive control (MPC) method is presented for linear, time-invariant systems affected by bounded additive disturbances. The main contribution is the offline design of a disturbance-affine feedback gain whereby the…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Anilkumar Parsi , Panagiotis Anagnostaras , Andrea Iannelli , Roy S. Smith