KONTROL ADAPTIF PADA MODEL PENYEBARAN KOLERA DENGAN ADANYA KETIDAKPASTIAN PARAMETER

Autor:	Regina Wahyudyah Sonata Ayu, Hanna Hilyati Aulia
Rok vydání:	2021
Předmět:	State variable Adaptive control Transmission (telecommunications) Control theory Lyapunov theorem Reference function Input control Tracking error convergence Mathematics
Zdroj:	Math Educa Journal. 5:154-162
ISSN:	2598-2133 2580-6726
DOI:	10.15548/mej.v5i2.2546
Popis:	In this paper the number of humans infected with cholera was controlled under the uncertainty in cholera model parameters. The aim of this research is to design an adaptive control so that the number of infected humans decreases. To achieve this goal, an adaptive controller was proposed to a deterministic model for the transmission of cholera involving five state variables (susceptible humans, infected humans, quarantined humans, recovered humans, and bacterial concentration) and one input control variable, i.e, the proportion of quarantined humans. A control law was designed such that the number of infected humans was decreased tracking the given reference function. The tracking error convergence were analyzed by employing the Lyapunov theorem. The performance of the proposed controller was evaluated through numerical simulations. The results show that the adaptive controller designed to the model ensures the tracking error convergence such that the number of infected humans has declined.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e6dab7c0c706a4bb9694335d2e5627f3 https://doi.org/10.15548/mej.v5i2.2546 Zobrazit plný text záznamu