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Model mismatch and process noise are two frequently occurring phenomena that can drastically affect the performance of model predictive control (MPC) in practical applications. We propose a principled way to tune the cost function and the…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Riccardo Zuliani , Efe C. Balta , John Lygeros

Autonomous vehicles are the upcoming solution to most transportation problems such as safety, comfort and efficiency. The steering control is one of the main important tasks in achieving autonomous driving. Model predictive control (MPC) is…

Optimization and Control · Mathematics 2025-09-23 Yassine Kebbati , Vicenç Puig , Naima Ait-Oufroukh , Vincent Vigneron , Dalil Ichalal

In this paper, we address the problem of designing stochastic model predictive control (MPC) schemes for linear systems affected by unbounded disturbances. The contribution of the paper is twofold. First, motivated by the difficulty of…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Mirko Fiacchini , Martina Mammarella , Fabrizio Dabbene

We consider the problem of robust and adaptive model predictive control (MPC) of a linear system, with unknown parameters that are learned along the way (adaptive), in a critical setting where failures must be prevented (robust). This…

Machine Learning · Computer Science 2020-10-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

This paper develops an adaptive tracking controller for a class of nonlinear systems with parametric uncertainty subject to state constraints. The system is characterized by a strict-feedback structure with unknown parameters entering both…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

Data-driven controllers design is an important research problem, in particular when data is corrupted by the noise. In this paper, we propose a data-driven min-max model predictive control (MPC) scheme using noisy input-state data for…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Yifan Xie , Julian Berberich , Frank Allgöwer

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

In this paper, we present Robust Model Predictive Control (MPC) problems with adjustable uncertainty sets. In contrast to standard Robust MPC problems with known uncertainty sets, we treat the uncertainty sets in our problems as additional…

Optimization and Control · Mathematics 2018-09-21 Yeojun Kim , Xiaojing Zhang , Jacopo Guanetti , Francesco Borrelli

This paper presents a robust MPC scheme for linear systems subject to time-varying, uncertain constraints that arise from uncertain environments. The predicted input sequence is parameterized over future environment states to guarantee…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Philipp Buschermöhle , Taouba Jouini , Torsten Lilge , Matthias A. Müller

In this paper, we address the problem of designing stochastic model predictive control (SMPC) schemes for linear systems affected by unbounded disturbances. The contribution of the paper is rooted in a measured-state initialization…

Optimization and Control · Mathematics 2025-04-25 Mirko Fiacchini , Martina Mammarella , Fabrizio Dabbene

We consider the problem of bridging the gap between geometric tracking control theory and implementation of model predictive control (MPC) for robotic systems operating on manifolds. We propose a generic on-manifold MPC formulation based on…

Robotics · Computer Science 2021-06-30 Guozheng Lu , Wei Xu , Fu Zhang

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

Task and Motion Planning has made great progress in solving hard sequential manipulation problems. However, a gap between such planning formulations and control methods for reactive execution remains. In this paper we propose a model…

Robotics · Computer Science 2022-09-23 Marc Toussaint , Jason Harris , Jung-Su Ha , Danny Driess , Wolfgang Hönig

We present a model predictive control (MPC) formulation to directly optimize economic criteria for linear constrained systems subject to disturbances and uncertain model parameters. The proposed formulation combines a certainty equivalent…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Maximilian Degner , Raffaele Soloperto , Melanie N. Zeilinger , John Lygeros , Johannes Köhler

This work develops a robust nonlinear Model Predictive Control (MPC) framework for path tracking in autonomous vehicles operating at the limits of handling utilizing a Control Contraction Metric (CCM) derived from a perturbed dynamic single…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Joscha F. Bongard , Valentin L. Krieger , Boris Lohmann

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

This paper introduces a novel method for robust output-feedback model predictive control (MPC) for a class of nonlinear discrete-time systems. We propose a novel interval-valued predictor which, given an initial estimate of the state,…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Scott Brown , Mohammad Khajenejad , Aamodh Suresh , Sonia Martinez

Optimal decision-making for trajectory tracking in partially observable, stochastic environments where the number of active localization updates -- the process by which the agent obtains its true state information from the sensors -- are…

Robotics · Computer Science 2024-08-22 Gokul Puthumanaillam , Manav Vora , Melkior Ornik

Recent work in Offline Reinforcement Learning (RL) has shown that a unified Transformer trained under a masked auto-encoding objective can effectively capture the relationships between different modalities (e.g., states, actions, rewards)…

Machine Learning · Computer Science 2025-02-07 Kehan Wen , Yutong Hu , Yao Mu , Lei Ke

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
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