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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 addresses the problem of decentralized tube-based nonlinear Model Predictive Control (NMPC) for a class of uncertain nonlinear continuous-time multi-agent systems with additive and bounded disturbance. In particular, the problem…

Systems and Control · Computer Science 2019-09-05 Alexandros Nikou , Dimos V. Dimarogonas

Model predictive control (MPC) is a popular approach for trajectory optimization in practical robotics applications. MPC policies can optimize trajectory parameters under kinodynamic and safety constraints and provide guarantees on safety,…

Robotics · Computer Science 2023-06-08 Returaj Burnwal , Anirban Santara , Nirav P. Bhatt , Balaraman Ravindran , Gaurav Aggarwal

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

Model Predictive Control (MPC) provides an optimal control solution based on a cost function while allowing for the implementation of process constraints. As a model-based optimal control technique, the performance of MPC strongly depends…

Systems and Control · Electrical Eng. & Systems 2024-09-11 David C. Gordon , Alexander Winkler , Julian Bedei , Patrick Schaber , Jakob Andert , Charles R. Koch

Least-square system identification is widely used for data-driven model-predictive control (MPC) of unknown or partially known systems. This letter investigates how the system identification and subsequent MPC is affected when the state and…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Shahab Ataei , Dipankar Maity , Debdipta Goswami

Robots and automated systems are increasingly being introduced to unknown and dynamic environments where they are required to handle disturbances, unmodeled dynamics, and parametric uncertainties. Robust and adaptive control strategies are…

Robotics · Computer Science 2018-08-03 Karime Pereida , Angela Schoellig

A centralized model predictive controller (MPC), which is unaware of local uncertainties, for an affine discrete time nonlinear system is presented. The local uncertainties are assumed to be matched, bounded and structured. In order to…

Optimization and Control · Mathematics 2020-09-15 Prabhat K. Mishra , Tixian Wang , Mattia Gazzola , Girish Chowdhary

This paper proposes a novel robust Model Predictive Control (MPC) scheme for linear discrete-time systems affected by model uncertainty described by interval matrices. The key feature of the proposed method is a bound on the uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-02-20 Renato Quartullo , Andrea Garulli , Mirko Leomanni

We consider numerical approaches for deterministic, finite-dimensional optimal control problems whose dynamics depend on unknown or uncertain parameters. We seek to amortize the solution over a set of relevant parameters in an offline stage…

Optimization and Control · Mathematics 2024-02-16 Deepanshu Verma , Nick Winovich , Lars Ruthotto , Bart van Bloemen Waanders

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

Model predictive control (MPC) has been used widely in power electronics due to its simple concept, fast dynamic response, and good reference tracking. However, it suffers from parametric uncertainties, since it directly relies on the…

Systems and Control · Electrical Eng. & Systems 2022-06-29 Abualkasim Bakeer , Ihab S. Mohamed , Parisa Boodaghi Malidarreh , Intissar Hattabi , Lantao Liu

This paper is concerned with model predictive control (MPC) of discrete-time linear systems subject to bounded additive disturbance and mixed constraints on the state and input, whereas the true disturbance set is unknown. Unlike most…

Optimization and Control · Mathematics 2024-05-22 Yulong Gao , Shuhao Yan , Jian Zhou , Mark Cannon , Alessandro Abate , Karl H. Johansson

In this paper, we propose an online learning-based predictive control (LPC) approach designed for nonlinear systems that lack explicit system dynamics. Unlike traditional model predictive control (MPC) algorithms that rely on known system…

Optimization and Control · Mathematics 2025-03-17 Yuanqing Zhang , Huanshui Zhang

The unaffordable computation load of nonlinear model predictive control (NMPC) has prevented it for being used in robots with high sampling rates for decades. This paper is concerned with the policy learning problem for nonlinear MPC with…

Robotics · Computer Science 2022-11-21 Rizhong Wang , Huiping Li , Bin Liang , Yang Shi , Demin Xu

Bioprocesses are often characterized by nonlinear and uncertain dynamics. This poses particular challenges in the context of model predictive control (MPC). Several approaches have been proposed to solve this problem, such as robust or…

Quantitative Methods · Quantitative Biology 2023-12-08 Niels Krausch , Martin Doff-Sotta , Mark Canon , Peter Neubauer , Mariano Nicolas Cruz Bournazou

In this paper, we propose a novel framework for approximating the explicit MPC policy for linear parameter-varying systems using supervised learning. Our learning scheme guarantees feasibility and near-optimality of the approximated MPC…

Systems and Control · Electrical Eng. & Systems 2019-12-11 Xiaojing Zhang , Monimoy Bujarbaruah , Francesco Borrelli

In this article, a model predictive control (MPC) method is proposed for constrained linear systems to track bounded references with arbitrary dynamics. Besides control inputs to be determined, artificial reference is introduced as…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Shibo Han , Bonan Hou , Yuhao Zhang , Xiaotong Shi , Xingwei Zhao

Model predictive control (MPC) is based on perpetually solving optimization problems. The solution of the optimization is usually interpreted as the optimal input for the current state. However, the solution of the optimization does not…

Optimization and Control · Mathematics 2020-09-21 Kai König , Martin Mönnigmann

Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or constraints. A Continuation/GMRES Method for NMPC, suggested by T. Ohtsuka in…

Optimization and Control · Mathematics 2015-09-10 Andrew Knyazev , Yuta Fujii , Alexander Malyshev