Math Educa Journal
Vol 5, No 2 (2021)

KONTROL ADAPTIF PADA MODEL PENYEBARAN KOLERA DENGAN ADANYA KETIDAKPASTIAN PARAMETER

Ayu, Regina Wahyudyah Sonata (Unknown)
Aulia, Hanna Hilyati (Unknown)



Article Info

Publish Date
31 Oct 2021

Abstract

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.

Copyrights © 2021






Journal Info

Abbrev

matheduca

Publisher

Subject

Mathematics

Description

Math Educa Journal diterbitkan oleh Program Studi Tadris Matematika Fakultas Tarbiyah dan Keguruan UIN Imam Bonjol Padang sejak tahun 2017. Terbit dua kali setahun pada bulan April dan Oktober. Berisi tulisan yang diangkat dari hasil penelitian di bidang: Matematika dan Pendidikan matematika. ...