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Ellipsoidal tube-based model predictive control methods effectively account for the propagation of the reachable set, typically employing linear feedback policies. In contrast, scenario-based approaches offer more flexibility in the…

Systems and Control · Electrical Eng. & Systems 2025-09-17 Moritz Heinlein , Florian Messerer , Moritz Diehl , Sergio Lucia

This paper investigates the problem of robust model predictive control (RMPC) of linear-time-invariant (LTI) discrete-time systems subject to structured uncertainty and bounded disturbances. Typically, the constrained RMPC problem with…

Systems and Control · Electrical Eng. & Systems 2022-08-18 Anastasis Georgiou , Furqan Tahir , Imad M. Jaimoukha , Simos A. Evangelou

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 presents a deep learning based model predictive control algorithm for control affine nonlinear discrete time systems with matched and bounded state dependent uncertainties of unknown structure. Since the structure of…

Optimization and Control · Mathematics 2021-09-28 Prabhat K. Mishra , Mateus V. Gasparino , Andres E. B. Velsasquez , Girish Chowdhary

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

We propose a robust model predictive control (MPC) method for discrete-time linear systems with polytopic model uncertainty and additive disturbances. Optimizing over linear time-varying (LTV) state feedback controllers has been…

Systems and Control · Electrical Eng. & Systems 2023-09-28 Shaoru Chen , Victor M. Preciado , Manfred Morari , Nikolai Matni

This work proposes an adaptive output feedback model predictive control (MPC) framework for uncertain systems subject to external disturbances. In the absence of exact knowledge about the plant parameters and complete state measurements,…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Anchita Dey , Shubhendu Bhasin

A robust adaptive model predictive control (MPC) algorithm is presented for linear, time invariant systems with unknown dynamics and subject to bounded measurement noise. The system is characterized by an impulse response model, which is…

Systems and Control · Electrical Eng. & Systems 2019-11-21 Anilkumar Parsi , Andrea Iannelli , Mingzhou Yin , Mohammad Khosravi , Roy S. Smith

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

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Daniel D. Leister , Justin P. Koeln

An output feedback model predictive control (MPC) framework with adaptive tubes is proposed for linear time-invariant systems subject to parametric and additive uncertainties. An adaptive observer provides point estimates of the system…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Anchita Dey , Shubhendu Bhasin

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

In this paper we propose a stochastic model predictive control (MPC) algorithm for linear discrete-time systems affected by possibly unbounded additive disturbances and subject to probabilistic constraints. Constraints are treated in…

Systems and Control · Computer Science 2019-02-15 Lukas Hewing , Melanie N. Zeilinger

This paper presents two stochastic model predictive control methods for linear time-invariant systems subject to unbounded additive uncertainties. The new methods are developed by formulating the chance constraints into deterministic form,…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Fei Li , Huiping Li , Yuyao He

We present a robust model predictive control (MPC) framework for linear systems facing bounded parametric uncertainty and bounded disturbances. Our approach deviates from standard MPC formulations by integrating multi-step predictors, which…

Optimization and Control · Mathematics 2023-11-21 Danilo Saccani , Giancarlo Ferrari-Trecate , Melanie N. Zeilinger , Johannes Köhler

This paper presents a time-optimal Model Predictive Control (MPC) scheme for linear discrete-time systems subject to multiplicative uncertainties represented by interval matrices. To render the uncertainty propagation computationally…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Renato Quartullo , Andrea Garulli , Mirko Leomanni

This paper presents a robust adaptive learning Model Predictive Control (MPC) framework for linear systems with parametric uncertainties and additive disturbances performing iterative tasks. The approach refines the parameter estimates…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Hannes Petrenz , Johannes Köhler , Francesco Borrelli

This paper is about a class of distributionally robust model predictive controllers (MPC) for nonlinear stochastic processes that evaluate risk and control performance measures by propagating ambiguity sets in the space of state probability…

Optimization and Control · Mathematics 2022-06-22 Fan Wu , Mario E. Villanueva , Boris Houska

We propose an Adaptive MPC framework for uncertain linear systems to achieve robust satisfaction of state and input constraints. The uncertainty in the system is assumed additive, state dependent, and globally Lipschitz with a known…

Systems and Control · Electrical Eng. & Systems 2020-02-18 Monimoy Bujarbaruah , Siddharth H. Nair , Francesco Borrelli

We present a robust adaptive model predictive control (MPC) framework for nonlinear continuous-time systems with bounded parametric uncertainty and additive disturbance. We utilize general control contraction metrics (CCMs) to parameterize…

Systems and Control · Electrical Eng. & Systems 2023-07-12 András Sasfi , Melanie N. Zeilinger , Johannes Köhler