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This work proposes a novel robust model predictive control (MPC) algorithm for linear systems affected by dynamic model uncertainty and exogenous disturbances. The uncertainty is modeled using a linear fractional perturbation structure with…

Systems and Control · Electrical Eng. & Systems 2022-06-10 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

This paper proposes a novel hierarchical model predictive control (MPC) strategy that guarantees overall system stability. This method differs significantly from previous approaches to guaranteeing overall stability, which have relied upon…

Optimization and Control · Mathematics 2013-09-24 Chris Vermillion , Amor Menezes , Ilya Kolmanovsky

This paper designs a model predictive control (MPC) law for constrained linear systems with stochastic additive disturbances and noisy measurements, minimising a discounted cost subject to a discounted expectation constraint. It is assumed…

Systems and Control · Electrical Eng. & Systems 2022-04-22 Shuhao Yan , Mark Cannon , Paul J. Goulart

In this paper, we consider the problem of periodic optimal control of nonlinear systems subject to online changing and periodically time-varying economic performance measures using model predictive control (MPC). The proposed economic MPC…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

This paper is about robust Model Predictive Control (MPC) for linear systems with additive and multiplicative uncertainty. A novel class of configuration-constrained polytopic robust forward invariant tubes is introduced, which admit a…

Optimization and Control · Mathematics 2022-08-29 Mario E. Villanueva , Matthias A. Müller , Boris Houska

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 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

We propose and analyze a real-time model predictive control (MPC) scheme that utilizes stored data to improve its performance by learning the value function online with stability guarantees. For linear and nonlinear systems, a learning…

Optimization and Control · Mathematics 2020-09-23 Lukas Schwenkel , Meriem Gharbi , Sebastian Trimpe , Christian Ebenbauer

Model Predictive Control (MPC) is a widely used technique for managing timevarying systems, supported by extensive theoretical analysis. While theoretical studies employing dynamic regret frameworks have established robust performance…

Systems and Control · Electrical Eng. & Systems 2025-02-20 Nhat M. Nguyen

Model Predictive Control (MPC) can efficiently control constrained systems in real-time applications. MPC feedback law for a linear system with linear inequality constraints can be explicitly computed off-line, which results in an off-line…

Systems and Control · Computer Science 2016-06-13 Andrew Knyazev , Peizhen Zhu , Stefano Di Cairano

Reducing the computation time of model predictive control (MPC) is important, especially for systems constrained by many state constraints. In this paper, we propose a new online constraint removal framework for linear systems, for which we…

Optimization and Control · Mathematics 2023-08-29 S. A. N. Nouwens , M. M. Paulides , W. P. M. H. Heemels

We present a stochastic model predictive control (MPC) method for linear discrete-time systems subject to possibly unbounded and correlated additive stochastic disturbance sequences. Chance constraints are treated in analogy to robust MPC…

Systems and Control · Computer Science 2019-01-23 Lukas Hewing , Kim P. Wabersich , Melanie N. Zeilinger

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

Despite the success of model predictive control (MPC), its application to high-dimensional systems, such as flexible structures and coupled fluid/rigid-body systems, remains a largely open challenge due to excessive computational…

Systems and Control · Computer Science 2019-05-03 Joseph Lorenzetti , Benoit Landry , Sumeet Singh , Marco Pavone

We study Model Predictive Control (MPC) and propose a general analysis pipeline to bound its dynamic regret. The pipeline first requires deriving a perturbation bound for a finite-time optimal control problem. Then, the perturbation bound…

Optimization and Control · Mathematics 2022-10-25 Yiheng Lin , Yang Hu , Guannan Qu , Tongxin Li , Adam Wierman

Deadbeat Robust Model Predictive Control (DRMPC) is introduced as a new approach of Robust Model Predictive Control (RMPC) for linear systems with additive disturbances. Its main idea is to completely extinguish the effect of the…

Optimization and Control · Mathematics 2025-10-02 G. Schildbach

In this paper, a self-triggered adaptive model predictive control (MPC) algorithm is proposed for constrained discrete-time nonlinear systems subject to parametric uncertainties and additive disturbances. To bound the parametric…

Optimization and Control · Mathematics 2019-12-17 Kunwu Zhang , Changxin Liu , Yang Shi

This paper is concerned with tube-based model predictive control (MPC) for both linear and nonlinear, input-affine continuous-time dynamic systems that are affected by time-varying disturbances. We derive a min-max differential inequality…

Optimization and Control · Mathematics 2016-11-15 Mario E. Villanueva , Rien Quirynen , Moritz Diehl , Benoit Chachuat , Boris Houska

This paper deals with the design and experimental validation of a state-of-the art tube-based Model Predictive Control (MPC) for achieving time-constrained tasks. Given the uncertain nonlinear dynamics of the robot as well as a high-level…

Systems and Control · Computer Science 2019-09-04 Alexandros Nikou , Shahab Heshmati-alamdari , Dimos V. Dimarogonas

We develop a three-component Model Predictive Control (MPC) algorithm to achieve output-reference tracking with prescribed performance for continuous-time nonlinear systems. One component is so-called funnel MPC, which achieves reference…

Optimization and Control · Mathematics 2025-02-18 Lukas Lanza , Dario Dennstädt , Thomas Berger , Karl Worthmann
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