A Nonlinear Observer to Estimate the Effective Reproduction Number of Infectious Diseases
DOI:
https://doi.org/10.5614/cbms.2021.4.1.4Keywords:
nonlinear observer, linear matrix inequality, reproduction number, infectious diseasesAbstract
In this paper, we design a Nonlinear Observer (NLO) to estimate the effective reproduction number (Rt) of infectious diseases. The NLO is designed from a discrete-time augmented Susceptible-Infectious-Removed (SIR) model. The observer gain is obtained by solving a Linear Matrix Inequality (LMI). The method is used to estimate Rt in Jakarta using epidemiological data during COVID-19 pandemic. If the observer gain is tuned properly, this approach produces similar result compared to existing approach such as Extended Kalman filter (EKF).
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