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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

In this paper, two robust model predictive control (MPC) schemes are proposed for tracking control of nonholonomic systems with bounded disturbances: tube-MPC and nominal robust MPC (NRMPC). In tube-MPC, the control signal consists of a…

Systems and Control · Computer Science 2017-03-10 Zhongqi Sun , Li Dai , Kun Liu , Yuanqing Xia , Karl Henrik Johansson

Model predictive control (MPC) has become the most widely used advanced control method in process industry. In many cases, forecasts of the disturbances are available, e.g., predicted renewable power generation based on weather forecast.…

Systems and Control · Electrical Eng. & Systems 2022-06-08 Ryan McCloy , Lai Wei , Jie Bao

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

This paper presents an uncertainty compensation-based robust adaptive model predictive control (MPC) framework for linear systems with both matched and unmatched nonlinear uncertainties subject to both state and input constraints. In…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Ran Tao , Pan Zhao , Ilya Kolmanovsky , Naira Hovakimyan

Model Predictive Control (MPC) is a successful control methodology, which is applied to increasingly complex systems. However, real-time feasibility of MPC can be challenging for complex systems, certainly when an (extremely) large number…

Systems and Control · Electrical Eng. & Systems 2024-10-25 S. A. N. Nouwens , B. de Jager , M. M. Paulides , W. P. M. H. Heemels

In this paper, we present Robust Model Predictive Control (MPC) problems with adjustable uncertainty sets. In contrast to standard Robust MPC problems with known uncertainty sets, we treat the uncertainty sets in our problems as additional…

Optimization and Control · Mathematics 2018-09-21 Yeojun Kim , Xiaojing Zhang , Jacopo Guanetti , Francesco Borrelli

We propose a novel robust Model Predictive Control (MPC) scheme for nonlinear multi-input multi-output systems of relative degree one with stable internal dynamics. The proposed algorithm is a combination of funnel MPC, i.e., MPC with a…

Optimization and Control · Mathematics 2023-12-13 Thomas Berger , Dario Dennstädt , Lukas Lanza , Karl Worthmann

We propose a distributed model predictive control approach for linear time-invariant systems coupled via dynamics. The proposed approach uses the tube MPC concept for robustness to handle the disturbances induced by mutual interactions…

Systems and Control · Computer Science 2016-10-31 Pablo R Baldivieso Monasterios , Bernardo Hernandez , Paul A Trodden

Computing the receding horizon optimal control of nonlinear hybrid systems is typically prohibitively slow, limiting real-time implementation. To address this challenge, we propose a layered Model Predictive Control (MPC) architecture for…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Zachary Olkin , Aaron D. Ames

Learning-based control aims to construct models of a system to use for planning or trajectory optimization, e.g. in model-based reinforcement learning. In order to obtain guarantees of safety in this context, uncertainty must be accurately…

Robotics · Computer Science 2020-06-08 David D. Fan , Ali-akbar Agha-mohammadi , Evangelos A. Theodorou

In this paper we propose a constrained guaranteed cost robust model predictive controller (GCMPC) for uncertain discrete time systems. This controller was developed based on a quadratic cost functional and guarantee robustness with respect…

Optimization and Control · Mathematics 2018-09-21 Carlos M. Massera , Marco H. Terra , Denis F. Wolf

We propose an approach to design a Model Predictive Controller (MPC) for constrained Linear Time Invariant systems performing an iterative task. The system is subject to an additive disturbance, and the goal is to learn to satisfy state and…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Monimoy Bujarbaruah , Akhil Shetty , Kameshwar Poolla , Francesco Borrelli

This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

Systems and Control · Electrical Eng. & Systems 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

Controller design faces a trade-off between robustness and performance, and the reliability of linear controllers has caused many practitioners to focus on the former. However, there is renewed interest in improving system performance to…

Optimization and Control · Mathematics 2012-08-07 Anil Aswani , Humberto Gonzalez , S. Shankar Sastry , Claire Tomlin

This paper introduces an uncertainty compensation-based robust adaptive model predictive control (MPC) framework for linear systems with nonlinear time-varying uncertainties. The framework integrates an L1 adaptive controller to compensate…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Ran Tao , Pan Zhao , Ilya Kolmanovsky , Naira Hovakimyan

For systems with uncertain linear models, bounded additive disturbances and state and control constraints, a robust model predictive control algorithm incorporating online model adaptation is proposed. Sets of model parameters are…

Optimization and Control · Mathematics 2020-07-16 Xiaonan Lu , Mark Cannon , Denis Koksal-Rivet

This research introduces a multi-horizon contingency model predictive control (CMPC) framework in which classes of robust MPC (RMPC) algorithms are combined with classes of learning-based MPC (LB-MPC) algorithms to enable safe learning. We…

Optimization and Control · Mathematics 2025-05-30 Merlijne Geurts , Tren Baltussen , Alexander Katriniok , Maurice Heemels

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

We propose a computationally efficient nonlinear Model Predictive Control (NMPC) algorithm for safe, learning-based control. The system model is represented as an affine combination of basis functions with unknown parameters, and is subject…

Optimization and Control · Mathematics 2026-03-06 Johannes Buerger , Mark Cannon