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Tube-based model predictive control (MPC) is one of the principal robust control techniques for constrained linear systems affected by additive disturbances. While tube-based methods with online-computed tubes have been successfully applied…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Jerome Sieber , Alexandre Didier , Melanie N. Zeilinger

Robust tube-based model predictive control (MPC) methods address constraint satisfaction by leveraging an a priori determined tube controller in the prediction to tighten the constraints. This paper presents a system level tube-MPC (SLTMPC)…

Systems and Control · Electrical Eng. & Systems 2021-11-08 Jerome Sieber , Samir Bennani , Melanie N. Zeilinger

This paper is about a parallel algorithm for tube-based model predictive control. The proposed control algorithm solves robust model predictive control problems suboptimally, while exploiting their structure. This is achieved by…

Optimization and Control · Mathematics 2019-10-09 Kai Wang , Yuning Jiang , Juraj Oravec , Mario E. Villanueva , Boris Houska

The control of constrained systems using model predictive control (MPC) becomes more challenging when full state information is not available and when the nominal system model and measurements are corrupted by noise. Since these conditions…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Joseph Lorenzetti , Marco Pavone

A hierarchical Model Predictive Control (MPC) formulation is presented for coupled discrete-time linear systems with state and input constraints. Compared to a centralized approach, a two-level hierarchical controller, with one controller…

Systems and Control · Electrical Eng. & Systems 2022-02-24 Vignesh Raghuraman , Justin P. Koeln

Model predictive control (MPC) is an effective method for control of constrained systems but is susceptible to the external disturbances and modeling error often encountered in real-world applications. To address these issues, techniques…

Systems and Control · Electrical Eng. & Systems 2020-12-24 Savva Morozov , Parker C. Lusk , Brett T. Lopez , Jonathan P. How

This paper presents a stabilizing tube-based MPC synthesis for LPV systems. We employ terminal constraint sets which are required to be controlled periodically contractive. Periodically (or finite-step) contractive sets are easier to…

Systems and Control · Computer Science 2017-06-27 Jurre Hanema , Mircea Lazar , Roland Tóth

Modeling error or external disturbances can severely degrade the performance of Model Predictive Control (MPC) in real-world scenarios. Robust MPC (RMPC) addresses this limitation by optimizing over feedback policies but at the expense of…

Systems and Control · Electrical Eng. & Systems 2019-07-16 Brett T. Lopez , Jean-Jacques E. Slotine , Jonathan P. How

This paper investigates adaptive model predictive control (MPC) for a class of constrained linear systems with unknown model parameters. This is also posed as the dual control problem consisting of system identification and regulation. We…

Optimization and Control · Mathematics 2020-11-24 Kunwu Zhang , Yang Shi

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

We propose a computationally tractable, tube-based robust nonlinear model predictive control (MPC) framework using difference-of-convex (DC) functions and sequential convex programming. For systems with differentiable discrete time…

Optimization and Control · Mathematics 2026-02-03 Martin Doff-Sotta , Zaheen A-Rahman , Mark Cannon

We present Self-Tuning Tube-based Model Predictive Control (STT-MPC), an adaptive robust control algorithm for uncertain linear systems with additive disturbances based on the least-squares estimator and polytopic tubes. Our algorithm…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Damianos Tranos , Alessio Russo , Alexandre Proutiere

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

In this paper, we present an effective online tube-based model predictive control (T-MPC) solution for autonomous driving that aims at improving the computational load while ensuring robust stability and performance in fast and disturbed…

Systems and Control · Electrical Eng. & Systems 2020-09-07 Eugenio Alcala , Vicenc Puig , Joseba Quevedo , Olivier Sename

Model Predictive Control (MPC) has shown the great performance of target optimization and constraint satisfaction. However, the heavy computation of the Optimal Control Problem (OCP) at each triggering instant brings the serious delay from…

Robotics · Computer Science 2021-03-18 Yu Luo , Mingxuan Jing , Tianying Ji , Fuchun Sun , Huaping Liu

This paper proposes a novel tube-based Model Predictive Control (MPC) framework for tracking varying setpoint references with linear systems subject to additive and multiplicative uncertainties. The MPC controllers designed using this…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Filippo Badalamenti , Sampath Kumar Mulagaleti , Alberto Bemporad , Boris Houska , Mario Eduardo Villanueva

Model Predictive Control (MPC) has exhibited remarkable capabilities in optimizing objectives and meeting constraints. However, the substantial computational burden associated with solving the Optimal Control Problem (OCP) at each…

Robotics · Computer Science 2024-05-09 Yu Luo , Qie Sima , Tianying Ji , Fuchun Sun , Huaping Liu , Jianwei Zhang

In this paper, we present a robust adaptive model predictive control (MPC) scheme for linear systems subject to parametric uncertainty and additive disturbances. The proposed approach provides a computationally efficient formulation with…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Johannes Köhler , Elisa Andina , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

This paper proposes an adaptive tube framework for model predictive control (MPC) of discrete-time linear time-invariant systems subject to parametric uncertainty and additive disturbances. In contrast to conventional tube-based MPC schemes…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Anchita Dey , Shubhendu Bhasin

In this paper, we present a nonlinear robust model predictive control (MPC) framework for general (state and input dependent) disturbances. This approach uses an online constructed tube in order to tighten the nominal (state and input)…

Systems and Control · Electrical Eng. & Systems 2020-06-05 Johannes Köhler , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer
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