Mardlijah, Mardlijah
Mathematics Department Institut Teknologi Sepuluh Nopember Surabaya

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Design of Monkeypox Virus Spread Control in Humans Using Pontryagin Minimum Principle Hanafi, Lukman; Mardlijah, Mardlijah; Utomo, Daryono Budi; Wahyudi, Suhud; Sha-brina, Alya Nur
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 10, No 2 (2024)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.v10i2.21950

Abstract

Monkeypox is a contagious disease caused by a virus. In Africa, monkeypox results in death in 1 out of 10 infected individuals. The Food and Drug Administration in the United States recommends vaccination as a preventive measure against monkeypox virus. If infected, the World Health Organization (WHO) advises quarantine to prevent further transmission to others. This research develops a mathematical model known as SIR (Susceptible-Infected-Recovered) for the spread of monkeypox virus, incorporating vaccination and quarantine as control measures. The SIR model utilized is based on an existing model and follows the conditions of monkeypox spread in Nigeria, represented as a system of nonlinear differential equations. Optimal control is determined using the Pontryagin Minimum Principle and simulated using the fourth-order forward-backward sweep Runge-Kutta method to assess the level of monkeypox infection before and after implementing control measures. Based on the simulation results, it is concluded that the application of control measures can reduce the population of infected monkeys by 70% and infected humans by 59%.
Implementation of Fuzzy-PID Controller on Quadcopter Movement Maulina, Dinda Anisa’; Mardlijah, Mardlijah
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 10, No 2 (2024)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.v10i2.21949

Abstract

A UAV is an unmanned aerial vehicle, one of which is a Quadcopter. A Quadcopter has a simple structure and small size. Therefore, high maneuverability allows the Quadcopter to take off, fly, and land in narrow areas. The speed of the four motor-driven propellers affects the quadcopter’s motion. The problem that often occurs in Quadcopters lies in the lifting force. Where the speed of the four motors must be the same so that the lift force can make the Quadcopter reach the desired height. The study aims to control the angular velocity and speed of the Quadcopter on the z-axis. The Quadcopter motion system model is a non-linear system because environmental disturbances give the system very high uncertainty. The system is given a control design in the form of Fuzzy-PID (Fuzzy Proportional Integral Derivative) with the desired set point or speed is 1. Simulation is carried out by comparing the system without disturbance and with disturbance to see how the speed of the Fuzzy-PID stabilizes the system. The simulation results show that even though the system is disturbed, the fuzzy-PID control can guide it toward the desired set point.