MPC without Terminal Ingredients Tailored to the SEIR Compartmental Epidemic Model

Autor:	Esterhuizen, Willem, Sauerteig, Philipp, Streif, Stefan, Worthmann, Karl
Rok vydání:	2024
Předmět:	Mathematics - Optimization and Control Electrical Engineering and Systems Science - Systems and Control 93B45 (primary) 34H05 49N90 93C10
Druh dokumentu:	Working Paper
Popis:	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. Comment: 28 pages, 6 figures, preprint under peer review
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.09151 Zobrazit plný text záznamu View this record from Arxiv