Work

MPC without terminal ingredients tailored to the SEIR compartmental epidemic model

Year: 2024

Type: article

Abstract: 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 tailored model predictive control (MPC) scheme without terminal conditions. We rigorously show recursive feasibility and asymptotic convergence of the MPC closed loop to the continuum of disease-free equilibrium points for suitably designed quadratic running cost and a sufficiently long prediction horizon (forecast window). Moreover, we establish the viability kernel (a.k.a. the admissible set) as a domain of attraction of the continuum of equilibria.

Source: Systems & Control Letters

DOI: 10.1016/j.sysconle.2024.105908

Authors: Willem Esterhuizen, Philipp Sauerteig, Stefan Streif, Karl Worthmann

Institutions: Technische Universität Ilmenau, Chemnitz University of Technology

Language: English

Topic: Advanced Control Systems Optimization

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,830

OpenAlex ID: W4402666747

FWCI: 0.157

Cites: 42

Cited by: 1

Related to: 10