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This paper proposes a stabilising model predictive control (MPC) scheme with preview information of disturbance for nonlinear systems. The proposed MPC algorithm is able to not only reject disturbance by making use of disturbance preview…

Systems and Control · Electrical Eng. & Systems 2022-02-28 Xing Fang , Wen-Hua Chen

We consider the problem of robust and adaptive model predictive control (MPC) of a linear system, with unknown parameters that are learned along the way (adaptive), in a critical setting where failures must be prevented (robust). This…

Machine Learning · Computer Science 2020-10-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

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

Robust optimal or min-max model predictive control (MPC) approaches aim to guarantee constraint satisfaction over a known, bounded uncertainty set while minimizing a worst-case performance bound. Traditionally, these methods compute a…

Systems and Control · Electrical Eng. & Systems 2025-09-04 J. Wehbeh , E. C. Kerrigan

Robots must satisfy safety-critical state and input constraints despite disturbances and model mismatch. We introduce a robust model predictive control (RMPC) formulation that is fast, scalable, and compatible with real-time implementation.…

Optimization and Control · Mathematics 2025-09-24 Antoine P. Leeman , Johannes Köhler , Melanie N. Zeilinger

In robust optimization, the general aim is to find a solution that performs well over a set of possible parameter outcomes, the so-called uncertainty set. In this paper, we assume that the uncertainty size is not fixed, and instead aim at…

Optimization and Control · Mathematics 2016-06-24 André Chassein , Marc Goerigk

A robust model predictive control (MPC) method is presented for linear, time-invariant systems affected by bounded additive disturbances. The main contribution is the offline design of a disturbance-affine feedback gain whereby the…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Anilkumar Parsi , Panagiotis Anagnostaras , Andrea Iannelli , Roy S. Smith

This paper proposes a novel robust model predictive control (RMPC) method for the stabilization of constrained systems subject to additive disturbance (AD) and multiplicative disturbance (MD). Concentric containers are introduced to…

Systems and Control · Electrical Eng. & Systems 2024-12-05 Shibo Han , Yuhao Zhang , Xiaotong Shi , Xingwei Zhao

In this paper, we focus on the problem of shrinking-horizon Model Predictive Control (MPC) in uncertain dynamic environments. We consider controlling a deterministic autonomous system that interacts with uncontrollable stochastic agents…

Systems and Control · Electrical Eng. & Systems 2024-05-20 Charis Stamouli , Lars Lindemann , George J. Pappas

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

Optimization and Control · Mathematics 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

Long prediction horizons in Model Predictive Control (MPC) often prove to be efficient, however, this comes with increased computational cost. Recently, a Robust Model Predictive Control (RMPC) method has been proposed which exploits models…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Tim Brüdigam , Johannes Teutsch , Dirk Wollherr , Marion Leibold

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

Robust Optimal Control (ROC) with adjustable uncertainties has proven to be effective in addressing critical challenges within modern energy networks, especially the reserve and provision problem. However, prior research on ROC with…

Systems and Control · Electrical Eng. & Systems 2023-12-19 Yun Li , Neil Yorke-Smith , Tamas Keviczky

Deterministic model predictive control (MPC), while powerful, is often insufficient for effectively controlling autonomous systems in the real-world. Factors such as environmental noise and model error can cause deviations from the expected…

Optimization and Control · Mathematics 2024-07-29 Alex Oshin , Hassan Almubarak , Evangelos A. Theodorou

Robust control problems have significant practical implications since external disturbances can significantly impact the performance of control methods. Existing robust control methods excel at control-affine systems but fail at neural…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Huixuan Cheng , Hanjiang Hu , Changliu Liu

In adaptive-sampling control, the control frequency can be adjusted during task execution. Ensuring that these changes do not jeopardize the safety of the system being controlled requires attention. We introduce robust M-step hold model…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Spencer Schutz , Charlott Vallon , Francesco Borrelli

A finite horizon optimal tracking problem is considered for linear dynamical systems subject to parametric uncertainties in the state-space matrices and exogenous disturbances. A suboptimal solution is proposed using a model predictive…

Optimization and Control · Mathematics 2022-02-08 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

This paper presents a novel robust variable-horizon model predictive control scheme designed to intercept a target moving along a known trajectory, in finite time. Linear discrete-time systems affected by bounded process disturbances are…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Renato Quartullo , Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani

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

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