Open AccessDESAIN KONTROL PENGOBATAN PADA MODEL SIRD UNTUK PENYEBARAN VIRUS COVID-19 MENGGUNAKAN BACKSTEPPING
Author(s) -
Khozin Mu’tamar,
Janson Naiborhu,
Roberd Saragih
Publication year - 2021
Publication title -
barekeng
Language(s) - English
Resource type - Journals
eISSN - 2615-3017
pISSN - 1978-7227
DOI - 10.30598/barekengvol15iss4pp697-708
Subject(s) - backstepping , control theory (sociology) , state variable , particle swarm optimization , linearization , nonlinear system , covid-19 , variable (mathematics) , computer science , mathematics , control (management) , mathematical optimization , adaptive control , artificial intelligence , medicine , physics , mathematical analysis , disease , quantum mechanics , pathology , infectious disease (medical specialty) , thermodynamics
In this article, we present a control design on a SIRD model with treatment in infected individuals. The SIRD model with treatment is obtained from literature study and the parameter model is obtained from covid-19 daily case in the Riau province using the Particle Swarm Optimization method. The control design is carried out based on the backstepping method combined with feedback linearization based on input and output (IOFL). The SIRD model which is a nonlinear system will be transformed into a normal form using IOFL. Each variable is then stabilized Lyapunov using virtual control which at the same time generates a new state variable. This stage will be carried out iteratively until the last state variable is stabilized using a real control function. This control function is then applied to the SIRD model using the inverse of IOFL transformation. The simulation results compared with the Pontryagin Minimum Principle (PMP) method show that by selecting the appropriate control parameters, backstepping obtains better control performance which is a smaller number of infected populations.