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We consider the SEIR compartmental epidemic model subject to state and input constraints (a cap on the proportion of infectious individuals and limits on the allowed social distancing and quarantining measures, respectively). We present a…

最优化与控制 · 数学 2024-06-11 Willem Esterhuizen , Philipp Sauerteig , Stefan Streif , Karl Worthmann

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

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

This paper presents a scenario-based model predictive control (MPC) scheme designed to control an evolving pandemic via non-pharmaceutical intervention (NPIs). The proposed approach combines predictions of possible pandemic evolution to…

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

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…

系统与控制 · 电气工程与系统科学 2019-11-21 Anilkumar Parsi , Andrea Iannelli , Mingzhou Yin , Mohammad Khosravi , Roy S. Smith

This paper proposes an iterative distributionally robust model predictive control (MPC) scheme to solve a risk-constrained infinite-horizon optimal control problem. In each iteration, the algorithm generates a trajectory from the starting…

最优化与控制 · 数学 2023-08-23 Alireza Zolanvari , Ashish Cherukuri

We propose a model predictive control (MPC) scheme with sampled-data input which ensures output-reference tracking within prescribed error bounds for relative-degree-one systems. Hereby, we explicitly deduce bounds on the required maximal…

最优化与控制 · 数学 2024-03-28 Dario Dennstädt , Lukas Lanza , Karl Worthmann

In this paper, we propose a model predictive control (MPC) method for real-time intervention of spreading processes, such as epidemics and wildfire, over large-scale networks. The goal is to allocate budgeted resources each time step to…

最优化与控制 · 数学 2022-10-31 Ruigang Wang , Armaghan Zafar , Ian R. Manchester

We investigate adaptive strategies to robustly and optimally control the COVID-19 pandemic via social distancing measures based on the example of Germany. Our goal is to minimize the number of fatalities over the course of two years without…

种群与进化 · 定量生物学 2021-02-09 Johannes Köhler , Lukas Schwenkel , Anne Koch , Julian Berberich , Patricia Pauli , 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…

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

We investigate the time-optimal control problem in SIR (Susceptible-Infected-Recovered) epidemic models, focusing on different control policies: vaccination, isolation, culling, and reduction of transmission. Applying the Pontryagin's…

最优化与控制 · 数学 2017-06-15 Luca Bolzoni , Elena Bonacini , Cinzia Soresina , Maria Groppi

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 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 work investigates the benefits of implementing a systematic approach to social isolation policies during epidemics. We develop a mixed integer data-driven model predictive control (MPC) scheme based on an SIHRD model which is…

种群与进化 · 定量生物学 2025-07-04 S. Z. Sayed Hassen , A. Aboudonia , J. Lygeros

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…

Social distancing strategies have been adopted by governments to manage the COVID-19 pandemic, since the first outbreak began. However, further epidemic waves keep out the return of economic and social activities to their standard levels of…

最优化与控制 · 数学 2021-06-07 J. E. Sereno , A. D' Jorge , A. Ferramosca , E. A. Hernandez-Vargas , A. H. Gonzalez

This paper proposes an Adaptive Stochastic Model Predictive Control (MPC) strategy for stable linear time-invariant systems in the presence of bounded disturbances. We consider multi-input, multi-output systems that can be expressed by a…

系统与控制 · 电气工程与系统科学 2019-12-11 Monimoy Bujarbaruah , Charlott Vallon

Sampling-based Model Predictive Control (MPC) has been a practical and effective approach in many domains, notably model-based reinforcement learning, thanks to its flexibility and parallelizability. Despite its appealing empirical…

机器学习 · 计算机科学 2024-01-17 Zeji Yi , Chaoyi Pan , Guanqi He , Guannan Qu , Guanya Shi

This paper proposes a novel robust Model Predictive Control (MPC) scheme for linear discrete-time systems affected by model uncertainty described by interval matrices. The key feature of the proposed method is a bound on the uncertainty…

系统与控制 · 电气工程与系统科学 2026-02-20 Renato Quartullo , Andrea Garulli , Mirko Leomanni
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