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This paper presents a novel robust predictive controller for constrained nonlinear systems that is able to track piece-wise constant setpoint signals. The tracking model predictive controller presented in this paper extends the nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Marco Polver , Daniel Limon , Fabio Previdi , Antonio Ferramosca

Data-driven model predictive control based on Willems' fundamental lemma has proven effective for linear systems, but extending stability guarantees to nonlinear systems remains an open challenge. In this paper, we establish conditions…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Amin Taghieh , SangWoo Park

In distributed model predictive control (DMPC), where a centralized optimization problem is solved in distributed fashion using dual decomposition, it is important to keep the number of iterations in the solution algorithm, i.e. the amount…

Optimization and Control · Mathematics 2013-07-11 Pontus Giselsson , Anders Rantzer

We propose a data-driven tracking model predictive control (MPC) scheme to control unknown discrete-time linear time-invariant systems. The scheme uses a purely data-driven system parametrization to predict future trajectories based on…

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

This note extends a recently proposed algorithm for model identification and robust MPC of asymptotically stable, linear time-invariant systems subject to process and measurement disturbances. Independent output predictors for different…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Enrico Terzi , Lorenzo Fagiano , Marcello Farina , Riccardo Scattolini

Nonlinear model predictive control (MPC) is a flexible and increasingly popular framework used to synthesize feedback control strategies that can satisfy both state and control input constraints. In this framework, an optimization problem,…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Kong Yao Chee , M. Ani Hsieh , Nikolai Matni

Model predictive control (MPC) has shown great success for controlling complex systems such as legged robots. However, when closing the loop, the performance and feasibility of the finite horizon optimal control problem (OCP) solved at each…

In distributed model predictive control (MPC), the control input at each sampling time is computed by solving a large-scale optimal control problem (OCP) over a finite horizon using distributed algorithms. Typically, such algorithms require…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Giuseppe Belgioioso , Dominic Liao-McPherson , Mathias Hudoba de Badyn , Nicolas Pelzmann , John Lygeros , Florian Dörfler

Inexact methods for model predictive control (MPC), such as real-time iterative schemes or time-distributed optimization, alleviate the computational burden of exact MPC by providing suboptimal solutions. While the asymptotic stability of…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

Model Predictive Control (MPC) represents nowadays one of the main methods employed for process control in industry. Its strong suits comprise a simple algorithm based on a straightforward formulation and the flexibility to deal with…

Optimization and Control · Mathematics 2018-04-23 Alberto Zenere , Mattia Zorzi

Model Predictive Control (MPC) is a powerful control strategy; however, its reliance on online optimization poses significant challenges for implementation on systems with limited computational resources. One possible approach to address…

Optimization and Control · Mathematics 2025-02-19 Hassan Jafari Ozoumchelooei , Mehdi Hosseinzadeh

Designing a model predictive control (MPC) scheme that enables a mobile robot to safely navigate through an obstacle-filled environment is a complicated yet essential task in robotics. In this technical report, safety refers to ensuring…

Robotics · Computer Science 2025-08-12 Dennis Benders , Laura Ferranti , Johannes Köhler

In model-predictive control (MPC), achieving the best closed-loop performance under a given computational resource is the underlying design consideration. This paper analyzes the MPC design problem with control performance and required…

Optimization and Control · Mathematics 2016-04-25 Vincent Bachtiar , Chris Manzie , William H. Moase , Eric C. Kerrigan

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

In this paper, a safe and learning-based control framework for model predictive control (MPC) is proposed to optimize nonlinear systems with a non-differentiable objective function under uncertain environmental disturbances. The control…

Robotics · Computer Science 2022-02-22 Lei Zheng , Rui Yang , Zhixuan Wu , Jiesen Pan , Hui Cheng

A robust Model Predictive Control (MPC) approach for controlling front steering of an autonomous vehicle is presented in this paper. We present various approaches to increase the robustness of model predictive control by using weight…

Systems and Control · Computer Science 2018-05-23 Che Kun Law , Darshit Dalal , Stephen Shearrow

The Model Predictive Control (MPC) scheme Funnel MPC enables output tracking of smooth reference signals with prescribed error bounds for nonlinear multi-input multi-output systems with stable internal dynamics. Earlier works achieved the…

Optimization and Control · Mathematics 2024-03-12 Thomas Berger , Dario Dennstädt

Robust control design is mainly devoted to guarantee closed-loop stability of a model-based control law in presence of parametric and structural uncertainties. The control law is usually a complex feedback law which is derived from a…

Systems and Control · Computer Science 2011-08-12 Enrico Canuto , Wilber Acuna-Bravo , Andrés Molano-Jimenez , José Ospina , Carlos Perez-Montenegro

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

We design nonlinear and adaptive linear model-predictive control (MPC) techniques to minimize operational costs of compressor-actuated dynamics in natural gas pipeline networks. We establish stability of the local linear system and derive…

Optimization and Control · Mathematics 2025-07-24 Luke S. Baker , Sachin Shivakumar , Dieter Armbruster , Rodrigo B. Platte , Anatoly Zlotnik