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We propose a model predictive control (MPC) approach for minimising the social distancing and quarantine measures during a pandemic while maintaining a hard infection cap. To this end, we study the admissible and the maximal robust…

In this paper, a novel tube-based economic Model Predictive Control (MPC) scheme for uncertain systems that uses neither terminal costs nor terminal constraints is investigated. We show that the results from the undisturbed case can be…

系统与控制 · 电气工程与系统科学 2020-07-28 Lukas Schwenkel , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We present a detailed set-based analysis of the well-known SIR and SEIR epidemic models subjected to hard caps on the proportion of infective individuals, and bounds on the allowable intervention strategies, such as social distancing,…

最优化与控制 · 数学 2021-11-17 Willem Esterhuizen , Jean Lévine , Stefan Streif

Model Predictive Control (MPC) is a widely known control method that has proved to be particularly effective in multivariable and constrained control. Closed-loop stability and recursive feasibility can be guaranteed by employing accurate…

系统与控制 · 电气工程与系统科学 2025-02-05 Marco Polver , Daniel Limon , Fabio Previdi , Antonio Ferramosca

We consider sampled-data Model Predictive Control (MPC) of nonlinear continuous-time control systems. We derive sufficient conditions to guarantee recursive feasibility and asymptotic stability without stabilising costs and/or constraints.…

最优化与控制 · 数学 2021-03-03 Willem Esterhuizen , Karl Worthmann , Stefan Streif

This paper presents a novel distributed model predictive control (MPC) formulation without terminal cost and a corresponding distributed synthesis approach for distributed linear discrete-time systems with coupled constraints. The proposed…

系统与控制 · 电气工程与系统科学 2026-05-28 Xiaoyu Liu , Dimos V. Dimarogonas , Changxin Liu , Azita Dabiri , Bart De Schutter

Model predictive control (MPC) for tracking is a recently introduced approach, which extends standard MPC formulations by incorporating an artificial reference as an additional optimization variable, in order to track external and…

系统与控制 · 电气工程与系统科学 2025-08-25 Nadine Ehmann , Matthias Köhler , Frank Allgöwer

In this work we analyze mathematically the consequences and effectiveness of strategies to control an epidemic in the framework of classical SEIR models with multiple parallel infectious stages. We define the mathematical concept of a…

动力系统 · 数学 2023-08-17 Annibal Figueiredo , Tarcısio Marciano da Rocha Filho

Balancing the societal costs of non-pharmaceutical interventions with epidemic suppression requires adaptive feedback control. Rather than relying on state-dependent operational caps, we formulate an infinite-horizon optimal control problem…

最优化与控制 · 数学 2026-05-26 Mahtab Talaei , Alex Olshevsky , Laura F. White , Ioannis Ch. Paschalidis

We propose a robust adaptive Model Predictive Control (MPC) strategy with online set-based estimation for constrained linear systems with unknown parameters and bounded disturbances. A sample-based test applied to predicted trajectories is…

最优化与控制 · 数学 2023-03-09 Xiaonan Lu , Mark Cannon

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…

系统与控制 · 电气工程与系统科学 2024-10-25 S. A. N. Nouwens , B. de Jager , M. M. Paulides , W. P. M. H. Heemels

We consider an input-constrained differential-drive robot with actuator dynamics. For this system, we establish asymptotic stability of the origin on arbitrary compact, convex sets using Model Predictive Control (MPC) without stabilizing…

系统与控制 · 电气工程与系统科学 2021-06-04 Franz Rußwurm , Willem Esterhuizen , Karl Worthmann , Stefan Streif

We establish sufficient conditions for the terminal cost and constraint such that economic model predictive control (MPC) is robustly recursively feasible and economically robust to small disturbances without any assumptions of…

最优化与控制 · 数学 2024-08-29 Robert D. McAllister

We study unconstrained and constrained linear quadratic problems and investigate the suboptimality of the model predictive control (MPC) method applied to such problems. Considering MPC as an approximate scheme for solving the related fixed…

最优化与控制 · 数学 2023-06-06 Yuchao Li , Aren Karapetyan , John Lygeros , Karl H. Johansson , Jonas Mårtensson

We propose a stochastic model predictive control (MPC) framework for linear systems subject to joint-in-time chance constraints under unknown disturbance distributions. Unlike existing approaches that rely on parametric or Gaussian…

系统与控制 · 电气工程与系统科学 2026-04-21 Lukas Vogel , Andrea Carron , Eleftherios E. Vlahakis , Dimos V. Dimarogonas

We consider nonlinear model predictive control (MPC) schemes without stabilizing terminal conditions, where the model used in the optimization step is generated based on input-output data only. We establish exponential stability for…

最优化与控制 · 数学 2026-05-27 Lea Bold , Irene Schimperna , Karl Worthmann , Johannes Köhler

Various efforts have been devoted to developing stabilizing distributed Model Predictive Control (MPC) schemes for tracking piecewise constant references. In these schemes, terminal sets are usually computed offline and used in the MPC…

系统与控制 · 电气工程与系统科学 2021-10-29 Ahmed Aboudonia , Annika Eichler , Francesco Cordiano , Goran Banjac , John Lygeros

We present a stochastic model predictive control (MPC) method for linear discrete-time systems subject to possibly unbounded and correlated additive stochastic disturbance sequences. Chance constraints are treated in analogy to robust MPC…

系统与控制 · 计算机科学 2019-01-23 Lukas Hewing , Kim P. Wabersich , Melanie N. Zeilinger

This paper analyses the optimal control of infectious disease propagation using a classic susceptible-infected-recovered (SIR) model characterised by permanent immunity and the absence of available vaccines. The control is performed over a…

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…

系统与控制 · 计算机科学 2019-02-15 Lukas Hewing , Melanie N. Zeilinger
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