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We provide a method to design adaptive controllers for nonlinear systems using model predictive control (MPC). By combining a certainty-equivalent MPC formulation with least-mean-square parameter adaptation, we obtain an adaptive controller…

Optimization and Control · Mathematics 2026-03-19 Johannes Köhler

Model predictive control (MPC) has become one of the well-established modern control methods for three-phase inverters with an output LC filter, where a high-quality voltage with low total harmonic distortion (THD) is needed. Although it is…

Systems and Control · Computer Science 2020-04-24 Ihab S. Mohamed , Stefano Rovetta , Ton Duc Do , Tomislav Dragicevic , Ahmed A. Zaki Diab

Today's fast linear algebra and numerical optimization tools have pushed the frontier of model predictive control (MPC) forward, to the efficient control of highly nonlinear and hybrid systems. The field of hybrid MPC has demonstrated that…

Optimization and Control · Mathematics 2020-05-11 Jia-Jie Zhu , Georg Martius

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

Model predictive control (MPC) is a popular control engineering practice, but requires a sound knowledge of the model. Model-free predictive control (MFPC), a burning issue today, also related to reinforcement learning (RL) in AI, is…

Systems and Control · Electrical Eng. & Systems 2025-04-23 Cédric Join , Emmanuel Delaleau , Michel Fliess

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

Model predictive control (MPC) is a method to formulate the optimal scheduling problem for grid flexibilities in a mathematical manner. The resulting time-constrained optimization problem can be re-solved in each optimization time step…

Systems and Control · Electrical Eng. & Systems 2021-08-20 Steven de Jongh , Sina Steinle , Anna Hlawatsch , Felicitas Mueller , Michael Suriyah , Thomas Leibfried

Model predictive control (MPC) achieves stability and constraint satisfaction for general nonlinear systems, but requires computationally expensive online optimization. This paper studies approximations of such MPC controllers via neural…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Henrik Hose , Johannes Köhler , Melanie N. Zeilinger , Sebastian Trimpe

Model predictive control (MPC) is a widely used technique for temperature set-point tracking and energy optimization of Heating Ventilation and Air Conditioning (HVAC) systems in buildings. Unfortunately, a nonlinear thermal building model…

Systems and Control · Computer Science 2019-06-04 Mohammad Ostadijafari , Anamika Dubey

Model predictive control (MPC) faces significant limitations when applied to systems evolving on nonlinear manifolds, such as robotic attitude dynamics and constrained motion planning, where traditional Euclidean formulations struggle with…

Robotics · Computer Science 2025-10-07 Peiwen Yang , Weisong Wen , Runqiu Yang , Yuanyuan Zhang , Jiahao Hu , Yingming Chen , Naigui Xiao , Jiaqi Zhao

In real-world problems, uncertainties (e.g., errors in the measurement, precision errors) often lead to poor performance of numerical algorithms when not explicitly taken into account. This is also the case for control problems, where…

Optimization and Control · Mathematics 2020-12-18 Carlos Ignacio Hernández Castellanos , Sina Ober-Blöbaum , Sebastian Peitz

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

Model predictive control (MPC) is one of the most successful modern control methods. It relies on repeatedly solving a finite-horizon optimal control problem and applying the beginning piece of the optimal input. In this paper, we develop a…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Eya Guizani , Julian Berberich

We present a methodology to learn explicit Model Predictive Control (eMPC) laws from sample data points with tunable complexity. The learning process is cast in a special Neural Network setting where the coefficients of two linear layers…

Systems and Control · Electrical Eng. & Systems 2019-11-26 E. T. Maddalena , C. G. da S. Moraes , G. Waltrich , C. N. Jones

Computationally efficient nonlinear model predictive control relies on elaborate discrete-time optimal control problem (OCP) formulations trading off accuracy with respect to the continuous-time problem and associated computational burden.…

Optimization and Control · Mathematics 2024-08-15 Jonathan Frey , Katrin Baumgärtner , Gianluca Frison , Moritz Diehl

For model-based control, an accurate and in its complexity suitable representation of the real system is a decisive prerequisite for high and robust control quality. In a structured step-by-step procedure, a model predictive control (MPC)…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Jörg Fehr , Arnim Kargl , Hannes Eschmann

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

We propose a novel approach to design a robust Model Predictive Controller (MPC) for constrained uncertain linear systems. The uncertain system is modeled as linear parameter varying with additive disturbance. Set bounds for the system…

Systems and Control · Electrical Eng. & Systems 2022-08-11 Monimoy Bujarbaruah , Ugo Rosolia , Yvonne R Stürz , Xiaojing Zhang , Francesco Borrelli

In this paper, we address the problem of reducing the computational burden of Model Predictive Control (MPC) for real-time robotic applications. We propose TransformerMPC, a method that enhances the computational efficiency of MPC…

Robotics · Computer Science 2024-09-17 Vrushabh Zinage , Ahmed Khalil , Efstathios Bakolas

Robust model predictive control (MPC) aims to preserve performance under model-plant mismatch, yet robust formulations for nonlinear MPC (NMPC) with data-driven surrogates remain limited. This work proposes an offset-free robust NMPC scheme…

Chemical Physics · Physics 2025-11-11 Carine Menezes Rebello , Erbet Almeida Costa , Idelfonso B. R. Nogueira