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In this paper we propose a model predictive control scheme for constrained fractional-order discrete-time systems. We prove that all constraints are satisfied at all time instants and we prescribe conditions for the origin to be an…

Optimization and Control · Mathematics 2016-06-16 Pantelis Sopasakis , Haralambos Sarimveis

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 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

Robust design of autonomous systems under uncertainty is an important yet challenging problem. This work proposes a robust controller that consists of a state estimator and a tube based predictive control law. The class of linear systems…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Tianchen Ji , Junyi Geng , Katherine Driggs-Campbell

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

Data-driven model predictive control (DD-MPC) based on Willems' Fundamental Lemma has received much attention in recent years, allowing to control systems directly based on an implicit data-dependent system description. The literature…

Systems and Control · Electrical Eng. & Systems 2024-12-04 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

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

Given the recent surge of interest in data-driven control, this paper proposes a two-step method to study robust data-driven control for a parameter-unknown linear time-invariant (LTI) system that is affected by energy-bounded noises.…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Jiabao He , Xuan Zhang , Feng Xu , Junbo Tan , Xueqian Wang

In this paper, we study a data-enabled predictive control (DeePC) algorithm applied to unknown stochastic linear time-invariant systems. The algorithm uses noise-corrupted input/output data to predict future trajectories and compute optimal…

Optimization and Control · Mathematics 2019-11-04 Jeremy Coulson , John Lygeros , Florian Dörfler

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

This paper addresses the conservatism in data-driven reachability analysis for discrete-time linear systems subject to bounded process noise, where the system matrices are unknown and only input--state trajectory data are available.…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Peng Xie , Davide M. Raimondo , Rolf Findeisen , Amr Alanwar

This work presents a stochastic tube-based model predictive control framework that guarantees hard input constraint satisfaction for linear systems subject to unbounded additive disturbances. The approach relies on a structured design of…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Carlo Karam , Matteo Tacchi , Mirko Fiacchini

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

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 addresses the problem of controlling constrained systems subject to disturbances in the case where controller and system are connected over a lossy network. To do so, we propose a novel framework that splits the concept of…

Systems and Control · Electrical Eng. & Systems 2025-06-06 David Umsonst , Fernando S. Barbosa

This paper presents a method to identify an uncertain linear time-invariant (LTI) prediction model for tube-based Robust Model Predictive Control (RMPC). The uncertain model is determined from a given state-input dataset by formulating and…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Sampath Kumar Mulagaleti , Alberto Bemporad , Mario Zanon

This paper develops a method to construct robust positively invariant (RPI) tube sets from finite noisy input-state data of an unknown linear time-invariant (LTI) system, yielding tubes that can be directly embedded in tube-based robust…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Chi Wang , David Angeli

Model mismatch and process noise are two frequently occurring phenomena that can drastically affect the performance of model predictive control (MPC) in practical applications. We propose a principled way to tune the cost function and the…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Riccardo Zuliani , Efe C. Balta , John Lygeros

Considering discrete-time linear time-varying systems with unknown dynamics, controllers guaranteeing bounded closed-loop trajectories, optimal performance and robustness to process and measurement noise are designed via convex feasibility…

Optimization and Control · Mathematics 2023-05-19 Benita Nortmann , Thulasi Mylvaganam

This paper is concerned with model predictive control (MPC) of discrete-time linear systems subject to bounded additive disturbance and mixed constraints on the state and input, whereas the true disturbance set is unknown. Unlike most…

Optimization and Control · Mathematics 2024-05-22 Yulong Gao , Shuhao Yan , Jian Zhou , Mark Cannon , Alessandro Abate , Karl H. Johansson