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Model predictive control is a well established control technology for trajectory tracking. Its use requires the availability of an accurate model of the plant, but obtaining such a model is often time consuming and costly. Data-Enabled…

Optimization and Control · Mathematics 2025-10-01 Margarita A. Guerrero , Braghadeesh Lakshminarayanan , Cristian R. Rojas

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

Data-driven predictive control (DPC) is becoming an attractive alternative to model predictive control as it requires less system knowledge for implementation and reliable data is increasingly available in smart engineering systems. Two…

Optimization and Control · Mathematics 2023-04-05 M. Lazar , P. C. N. Verheijen

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

We present a sample-based Learning Model Predictive Controller (LMPC) for constrained uncertain linear systems subject to bounded additive disturbances. The proposed controller builds on earlier work on LMPC for deterministic systems.…

Systems and Control · Computer Science 2021-01-22 Ugo Rosolia , Francesco Borrelli

Model predictive control (MPC) has been applied to many platforms in robotics and autonomous systems for its capability to predict a system's future behavior while incorporating constraints that a system may have. To enhance the performance…

Robotics · Computer Science 2024-07-08 Ran Tao , Sheng Cheng , Xiaofeng Wang , Shenlong Wang , Naira Hovakimyan

To enable autonomous vehicles to perform discretionary lane change amidst the random traffic flow on highways, this paper introduces a decision-making and control method for vehicle lane change based on Model Predictive Control (MPC). This…

Systems and Control · Electrical Eng. & Systems 2024-04-04 Zishun Zheng , Yihan Wang , Yuan Lin

A robust adaptive model predictive control (MPC) algorithm is presented for linear, time invariant systems with unknown dynamics and subject to bounded measurement noise. The system is characterized by an impulse response model, which is…

Systems and Control · Electrical Eng. & Systems 2019-11-21 Anilkumar Parsi , Andrea Iannelli , Mingzhou Yin , Mohammad Khosravi , Roy S. Smith

The problem of optimal motion planing and control is fundamental in robotics. However, this problem is intractable for continuous-time stochastic systems in general and the solution is difficult to approximate if non-instantaneous nonlinear…

Robotics · Computer Science 2017-02-28 Mustafa Mukadam , Ching-An Cheng , Xinyan Yan , Byron Boots

A Task Decomposition method for iterative learning Model Predictive Control (TDMPC) for linear time-varying systems is presented. We consider the availability of state-input trajectories which solve an original task T1, and design a…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Charlott Vallon , Francesco Borrelli

In this paper, a learning based Model Predictive Control (MPC) using a low dimensional residual model is proposed for autonomous driving. One of the critical challenge in autonomous driving is the complexity of vehicle dynamics, which…

Robotics · Computer Science 2024-12-06 Yaoyu Li , Chaosheng Huang , Dongsheng Yang , Wenbo Liu , Jun Li

Direct data-driven control methods are known to be vulnerable to uncertainty in stochastic systems. In this paper, we propose a new robust data-driven predictive control (DDPC) framework. By analyzing non-unique solutions to behavioral…

Optimization and Control · Mathematics 2026-04-23 Yibo Wang , Qingyuan Liu , Chao Shang

A computationally efficient nonlinear Model Predictive Control (NMPC) algorithm is proposed for safe learning-based control with a system model represented by an incompletely known affine combination of basis functions and subject to…

Optimization and Control · Mathematics 2025-03-19 Johannes Buerger , Mark Cannon

This article addresses the problem of data-driven numerical optimal control for unknown nonlinear systems. In our scenario, we suppose to have the possibility of performing multiple experiments (or simulations) on the system. Experiments…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Marco Borghesi , Lorenzo Sforni , Giuseppe Notarstefano

We propose an iterative approach for designing Robust Learning Model Predictive Control (LMPC) policies for a class of nonlinear systems with additive, unmodelled dynamics. The nominal dynamics are assumed to be difference flat, i.e., the…

Systems and Control · Electrical Eng. & Systems 2023-03-23 Siddharth H. Nair , Francesco Borrelli

Driverless vehicles are complex systems operating in constantly changing environments. Automated driving is achieved by controlling the coupled longitudinal and lateral vehicle dynamics. Model predictive control is one of the most promising…

Optimization and Control · Mathematics 2025-09-25 Yassine Kebbati , Naima Ait-Oufroukh , Vicenç Puig , Vincent Vigneron , Dalil Ichalal

We study the problem of data-driven, constrained control of unknown nonlinear dynamics from a single ongoing and finite-horizon trajectory. We consider a one-step optimal control problem with a smooth, black-box objective, typically a…

Optimization and Control · Mathematics 2022-06-23 Abraham P. Vinod , Arie Israel , Ufuk Topcu

We consider the optimal control problem of steering an agent population to a desired distribution over an infinite horizon. This is an optimal transport problem over a dynamical system, which is challenging due to its high computational…

Optimization and Control · Mathematics 2022-03-17 Kaito Ito , Kenji Kashima

A Nonlinear Model Predictive Control (NMPC) strategy aimed at controlling a small-scale car model for autonomous racing competitions is presented in this paper. The proposed control strategy is concerned with minimizing the lap time while…

Robotics · Computer Science 2023-02-10 Vittorio Cataffo , Giuseppe Silano , Luigi Iannelli , Vicenç Puig , Luigi Glielmo

In this study, we formulate the drone delivery problem as a control problem and solve it using Model Predictive Control. Two experiments are performed: The first is on a less challenging grid world environment with lower dimensionality, and…

Artificial Intelligence · Computer Science 2025-03-26 Muhammad Al-Zafar Khan , Jamal Al-Karaki