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Industrial manipulators are normally operated in cluttered environments, making safe motion planning important. Furthermore, the presence of model-uncertainties make safe motion planning more difficult. Therefore, in practice the speed is…

Robotics · Computer Science 2026-02-16 Bernhard Wullt , Johannes Köhler , Per Mattsson , Mikeal Norrlöf , Thomas B. Schön

Model mismatch often poses challenges in model-based controller design. This paper investigates model predictive control (MPC) of uncertain linear systems with input constraints, focusing on stability and closed-loop infinite-horizon…

Optimization and Control · Mathematics 2025-03-06 Changrui Liu , Shengling Shi , Bart De Schutter

Model predictive control (MPC) is an optimal control strategy where control input calculation is based on minimizing the predicted tracking error over a finite horizon that moves with time. This strategy has an advantage over conventional…

Systems and Control · Electrical Eng. & Systems 2021-12-28 Joseph Chai , Eran Medagoda , Erkan Kayacan

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

Optimization and Control · Mathematics 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

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

Model predictive control (MPC) is a powerful tool for controlling complex nonlinear systems under constraints, but often struggles with model uncertainties and the design of suitable cost functions. To address these challenges, we discuss…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Sebastian Hirt , Andreas Höhl , Johannes Pohlodek , Joachim Schaeffer , Maik Pfefferkorn , Richard D. Braatz , Rolf Findeisen

Model predictive control (MPC) is a powerful strategy for planning and control in autonomous mobile robot navigation. However, ensuring safety in real-world deployments remains challenging due to the presence of disturbances and measurement…

Robotics · Computer Science 2025-08-12 Dennis Benders , Johannes Köhler , Robert Babuška , Javier Alonso-Mora , Laura Ferranti

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 powerful technique to control nonlinear, multi-input multi-output systems subject to input and state constraints. It is now a standard tool for trajectory tracking control of automated vehicles. As such…

Systems and Control · Electrical Eng. & Systems 2025-08-20 Georg Schildbach , Jasper Pflughaupt

This paper proposes a novel real-time affordable solution to the trajectory tracking control problem for self-driving cars subject to longitudinal and steering angular velocity constraints. To this end, we develop a dual-mode Model…

Systems and Control · Electrical Eng. & Systems 2024-05-06 Cristian Tiriolo , Walter Lucia

In this paper we present a Learning Model Predictive Control (LMPC) strategy for linear and nonlinear time optimal control problems. Our work builds on existing LMPC methodologies and it guarantees finite time convergence properties for the…

Systems and Control · Electrical Eng. & Systems 2020-10-06 Ugo Rosolia , Francesco Borrelli

Ensuring constraint satisfaction is a key requirement for safety-critical systems, which include most robotic platforms. For example, constraints can be used for modeling joint position/velocity/torque limits and collision avoidance.…

Robotics · Computer Science 2025-09-04 Elias Fontanari , Gianni Lunardi , Matteo Saveriano , Andrea Del Prete

We present a model predictive control (MPC) framework to solve the constrained nonlinear output regulation problem. The main feature of the proposed framework is that the application does not require the solution to classical regulator…

Systems and Control · Electrical Eng. & Systems 2021-06-02 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Harmonic model predictive control (HMPC) is a model predictive control (MPC) formulation which displays several benefits over other MPC formulations, especially when using a small prediction horizon. These benefits, however, come at the…

Optimization and Control · Mathematics 2022-11-16 Pablo Krupa , Daniel Limon , Alberto Bemporad , Teodoro Alamo

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

Motivated by the application of using model predictive control (MPC) for motion planning of autonomous mobile robots, a form of output tracking MPC for non-holonomic systems and with non-convex constraints is studied. Although the…

Robotics · Computer Science 2025-10-22 Matthias Lorenzen , Teodoro Alamo , Martina Mammarella , Fabrizio Dabbene

We propose a Model Predictive Control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected sum of convex stage costs for constrained linear uncertain systems.…

Optimization and Control · Mathematics 2025-04-24 Eunhyek Joa , Francesco Borrelli

This paper proposes a novel approach to design analog electronic circuits that implement Model Predictive Control (MPC) policies for dynamical systems described by affine models. Effective approaches to define a reduced-complexity Explicit…

Systems and Control · Electrical Eng. & Systems 2026-01-19 Simone Pirrera , Lorenzo Calogero , Francesco Gabriele , Diego Regruto , Alessandro Rizzo , Gianluca Setti

The aim of this work is to control the longitudinal position of an autonomous vehicle with an internal combustion engine. The powertrain has an inherent dead-time characteristic and constraints on physical states apply since the vehicle is…

Systems and Control · Electrical Eng. & Systems 2021-01-15 André Kempf , Markus Herrmann-Wicklmayr , Steffen Müller

We show how a posteriori goal oriented error estimation can be used to efficiently solve the subproblems occurring in a Model Predictive Control (MPC) algorithm. In MPC, only an initial part of a computed solution is implemented as a…

Optimization and Control · Mathematics 2022-03-02 Lars Grüne , Manuel Schaller , Anton Schiela