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In this paper, we present a robust and adaptive model predictive control (MPC) framework for uncertain nonlinear systems affected by bounded disturbances and unmodeled nonlinearities. We use Gaussian Processes (GPs) to learn the uncertain…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Mathieu Dubied , Amon Lahr , Melanie N. Zeilinger , Johannes Köhler

We show that Funnel MPC, a novel Model Predictive Control (MPC) scheme, allows tracking of smooth reference signals with prescribed performance for nonlinear multi-input multi-output systems of relative degree one with stable internal…

Optimization and Control · Mathematics 2022-03-18 Thomas Berger , Dario Dennstädt , Achim Ilchmann , Karl Worthmann

We present a Model Predictive Control (MPC) strategy for unknown input-affine nonlinear dynamical systems. A non-parametric method is used to estimate the nonlinear dynamics from observed data. The estimated nonlinear dynamics are then…

Systems and Control · Electrical Eng. & Systems 2020-10-12 Dimitris Papadimitriou , Ugo Rosolia , Francesco Borrelli

In this paper, a model reference adaptive control architecture is proposed for uncertain nonlinear systems to achieve prescribed performance guarantees. Specifically, a general nonlinear reference model system is considered that captures an…

Systems and Control · Electrical Eng. & Systems 2021-06-11 Ehsan Arabi , Kunal Garg , Dimitra Panagou

Control of nonlinear systems with high levels of uncertainty is practically relevant and theoretically challenging. This paper presents a numerical investigation of an adaptive nonlinear model predictive control (MPC) technique that relies…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Rami Abdulelah Alhazmi , Achinth Suresh Babu , Syed Aseem Ul Islam , Dennis S. Bernstein

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

The optimal performance of robotic systems is usually achieved near the limit of state and input bounds. Model predictive control (MPC) is a prevalent strategy to handle these operational constraints, however, safety still remains an open…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Jun Zeng , Bike Zhang , Koushil Sreenath

Robots must satisfy safety-critical state and input constraints despite disturbances and model mismatch. We introduce a robust model predictive control (RMPC) formulation that is fast, scalable, and compatible with real-time implementation.…

Optimization and Control · Mathematics 2025-09-24 Antoine P. Leeman , Johannes Köhler , Melanie N. Zeilinger

This paper presents a robust economic model predictive control (EMPC) formulation with zone tracking for discrete-time uncertain nonlinear systems. The proposed design ensures that the zone tracking objective is achieved in finite steps and…

Systems and Control · Electrical Eng. & Systems 2021-09-22 Benjamin Decardi-Nelson , Jinfeng Liu

In this paper, we investigate system theoretic properties of transient average constrained economic model predictive control (MPC) without terminal constraints. We show that the optimal open-loop solution passes by the optimal steady-state…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Mario Rosenfelder , Johannes Köhler , Frank Allgöwer

This paper proposes an adaptive stochastic Model Predictive Control (MPC) strategy for stable linear time invariant systems in the presence of bounded disturbances. We consider multi-input multi-output systems that can be expressed by a…

Systems and Control · Computer Science 2018-12-03 Monimoy Bujarbaruah , Xiaojing Zhang , Francesco Borrelli

Many practical applications of optimal control are subject to real-time computational constraints. When applying model predictive control (MPC) in these settings, respecting timing constraints is achieved by limiting the number of…

Optimization and Control · Mathematics 2024-12-16 Anusha Srikanthan , Aren Karapetyan , Vijay Kumar , Nikolai Matni

Sampling-based Model Predictive Control (MPC) is a flexible control framework that can reason about non-smooth dynamics and cost functions. Recently, significant work has focused on the use of machine learning to improve the performance of…

Robotics · Computer Science 2022-12-07 Jacob Sacks , Byron Boots

Robotic tasks which involve uncertainty--due to variation in goal, environment configuration, or confidence in task model--may require human input to instruct or adapt the robot. In tasks with physical contact, several existing methods for…

Robotics · Computer Science 2026-02-17 Kevin Haninger , Christian Hegeler , Luka Peternel

We design an model predictive control (MPC) approach for planning and control of non-holonomic mobile robots. Linearizing the system dynamics around the pre-computed reference trajectory gives a time-varying LQ MPC problem. We analytically…

Robotics · Computer Science 2022-10-12 Xinjie Liu , Vassil Atanassov

Despite great successes, model predictive control (MPC) relies on an accurate dynamical model and requires high onboard computational power, impeding its wider adoption in engineering systems, especially for nonlinear real-time systems with…

Systems and Control · Electrical Eng. & Systems 2023-07-03 Amin Vahidi-Moghaddam , Kaian Chen , Kaixiang Zhang , Zhaojian Li , Yan Wang , Kai Wu

This paper is about a real-time model predictive control (MPC) algorithm for a particular class of model based controllers, whose objective consists of a nominal tracking objective and an additional learning objective. Here, the…

Optimization and Control · Mathematics 2016-11-09 Xuhui Feng , Boris Houska

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

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

This paper proposes an offline control algorithm, called Recurrent Model Predictive Control (RMPC), to solve large-scale nonlinear finite-horizon optimal control problems. It can be regarded as an explicit solver of traditional Model…

Systems and Control · Electrical Eng. & Systems 2022-04-11 Zhengyu Liu , Jingliang Duan , Wenxuan Wang , Shengbo Eben Li , Yuming Yin , Ziyu Lin , Bo Cheng