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Journal : International Journal of Electrical and Computer Engineering

Optimal control strategies based on extended Kalman filter in mathematical models of COVID-19 Suhika, Dewi; Saragih, Roberd; Handayani, Dewi; Apri, Mochamad
International Journal of Electrical and Computer Engineering (IJECE) Vol 14, No 6: December 2024
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijece.v14i6.pp6300-6312

Abstract

The Omicron variant of the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) virus is an extremely contagious variant that has garnered global attention due to its potential for rapid spread and its impact on the effectiveness of vaccines and non-pharmacological measures. In this paper, we investigate mathematical models involving vaccinated individuals and control functions to analyze how the spread of coronavirus disease 2019 (COVID-19) infection evolves over time. In the process of constructing a mathematical model for COVID-19, there are many parameters whose values are not yet known with certainty. Therefore, the extended Kalman filter method is used as a tool to estimate these parameters in an effort to better understand the dynamics of the spread and evolution of this disease. This method helps align the mathematical model with existing empirical data, allowing us to make more accurate predictions about the course of the COVID-19 pandemic and plan more precise actions to address the situation. Furthermore, an optimal control design is applied to reduce the number of infected individuals by implementing seven strategies involving a combination of health education, vaccination, and isolation controls. The simulation results we conducted indicate that the use of optimal control strategies can lead to a significant decrease in the number of individuals infected with COVID-19.
Optimal control design of the COVID-19 model based on Lyapunov function and genetic algorithm Sa'adah, Aminatus; Saragih, Roberd; Handayani, Dewi
International Journal of Electrical and Computer Engineering (IJECE) Vol 14, No 5: October 2024
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijece.v14i5.pp5117-5130

Abstract

Millions of people died worldwide as a result of the coronavirus disease 2019 (COVID-19) pandemic that started in early 2020. Examining the COVID-19 susceptible-exposed-infected-recovery (SEIR) mathematical model is one approach to developing the best control scenario for this disease. The study utilized two control variables, vaccination, and therapy, to construct a control function that relied on the quadratic Lyapunov function. The control objective was to lower the number of COVID-19 infections while maintaining system stability. A genetic algorithm (GA) is used as a novel method to estimate controller parameter value to replace the previously used parameter tuning procedure. Then, a numerical simulation was carried out implementing three control scenarios, namely vaccination control only, treatment control only, and vaccination and treatment control simultaneously. Based on the results, scenario 3 (vaccination and treatment simultaneously) showed the most significant decrease: the average decrease in the exposed human population was 98.29%, and the infected human population was 98.18%.
Tracking control of uncertain third order jerk equation Genesio-Tesi using adaptive backstepping Mu'tamar, Khozin; Naiborhu, Janson; Saragih, Roberd; Handayani, Dewi
International Journal of Electrical and Computer Engineering (IJECE) Vol 15, No 3: June 2025
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijece.v15i3.pp2758-2768

Abstract

This article presents the uncertain Genesio-Tesi, a third-order Jerk equation in the form of an ordinary differential equation, with the potential to exhibit chaos under certain conditions. The main focus of this article is to design a control function for the uncertain Genesio-Tesi, which has uncertain parameters with unknown values. The adaptive backstepping method designs the control function, demonstrating its ability to stabilize the system output towards a given trajectory using Lyapunov stability. To test the robustness of the proposed control method, simulations were conducted with various scenarios, including disturbances to the steady-state system. Simulation results show that the controller successfully drove the system output along a desired trajectory, whether constant or a function, and maintained system stability even with significant disturbances.
Co-Authors Aang Parade Abditama Srifitriani Abdullah, Rosazlin Abristadevi, Abristadevi Ade Firmansyah Ade Tri Hartawi Adelia Putri Khaila Afrianti, Yolanda Afriayani, Iis Afrizal Mayub Agung Pratama, Deka Agus Prasetyo Utomo Agus Sundaryono Agustiningtias, Wardah Izzati Ahmad Fadli Zil Ikram Alexon Alexon Alhamd, Laode Alimansyah, Alimansyah Amida, Nadia Amiliah Amiliah Amir, Hermasyah Amrul Bahar Amrul Bahar Amrul Bahar Andrian Waluya Adi Anitasar, Bestfy Annisa Luthfiah Apri Fajar Susmiati Apri, Mochamad Apria Haja Krisma Apriyanto, Mulono Apriyoanda, Hadi Apriyudha, Ryan Areski Febriani Arianto, Tezar Arif, Arifuddin M. Asrini Batubara, Azzahra Rezekina Aulia, Salsabila Aysa Arfianti Batubara, Azzahra Rezekina Asrini Beringin Jaya Munthe Budiyanto Budiyanto Budiyanto Budiyanto Candra, I Nyoman Caniago, Khairunnisa Cici Romayanti Citra Dwi Palenti Damanik, Rini Astuti  Darti, Puspa Dewi Handayani Untari Ningsih Dewi Jumiarni Dewi Turgarini  Deza Oktasila Dhea Prasiwi Dian Kartika Sari Dian Permata Sari Diana R. Eddy Diana Sumiati Diska Vera Santi Diska Verasanti Djumari Djumari E Koagouw, Joanes Eduwin Saputra Elsa Putri Agustina Elvinawati Elvinawati Elvinawati Elvinawati Elvinawati Elza, Puteri Amelia Emilia Candrawati Endang Tjahjaniningsih Endang Widi Winarni Endang Widi Winarni Ernis, Gustria Erva Rosa Prima Gayatri Febrian Solikhin Febriyani, Erisa Fitria, Rani Fuji Ramadenti Gunadi, Audri Utami Hafiz Maulana, Hafiz Handayani, Masitah Hendri Bustamam Hepriyeni, Yesi Hermansyah Amir Hermansyah Amir Hermansyah Amir Hermansyah Amir, Hermansyah Hermansyah, Herry Hidayah Mahmudah, Amirotul Musthofiah I Nyoman Chandra Imam Masqotul Imam Romadlani Imanah, Ladisa Fergie Indriyani Indriyani Indriyati, Citra Irma Sari Isnaini Safitri Isnaini Safitri Isnaini, Izattul Janson Naiborhu Jelita Jertadi Putri Dhani Johanes Sapri Julia Sarfina Julita Sari Jumiarni, Dewi Kharis Triyono Khozin Mu'tamar Khuzaini KINTAMANI, ENDANG Krisandini, Triana Krisnanda, Cesario Alvian Kristiawan, Stefanus A. Kurnia, Nina Laialatur rohimah Lailatul Muarofah Hanim Lena Rahmidar Liis Panggabean Lubis, Ramadan Lubis, Siti Rahmah Hidayatullah Lukman Handoko M. Lutfi Firdaus M. Lutfi Firdaus Mahmudah, Amirotul M. H. Mahmudah, Amirotul M.H Mantiko Parbo Maulana Maqfiroh, Siti Lailiyatul Marniza Marpaung, Sri Rizki Azzakia Mega Ilhamiwati Melani, Iim Mellyta Uliyandari Uliyandari Merkuria Karyantina Mestiragita, Yeptin Pra Mia Maysella Aditia Mimi Sutrawati Mimi Sutrawati Moga Kurnia Muhamad Diki Permana Muhammad Mukhlisin Alfaro Muhammad Robi Muhammad Syafii Muharrom, Mumuh Muzanip Alperi Muzanip Alperi Muzanip Alperi Muzanip Alperi Muzanip Alperi Muzanip Alperi Muzanip Alperi, Muzanip Nabilah Diomara Nadia Amida Nadia Amida Nadya Dirma Wahyuni Najirah Umar Najmah, Najmah Nana Noviyanti Nengsih, Ersa Agusti Nilmatullah, Jasica Nina Gusti Nining Rukiah Nizaruddin Nizaruddin Novita Mariana Nuha Fadhilah, Sarah Nur Jannah Nurfitriani Nurhamidah Nurhamidah Nurhamidah Nurhamidah Nurhamidah Nurhamidah Nurhamidah Nurhamidah Nurhamidah Nurhamidah Nurlia Latipah Nurliana NURLIANA NURLIANA Nursaadah, Euis Nursela Wahyuni Nurul Annisa Oma Sepriani Pello, Hellen Aditia Pica Lestari Primasari, Revina Anggraeni Puspa Darti Puspariyani, Aurelia Ratih Puspitasari , Ayu Jani Rachmawati, Ria Nurlita Radyanto, Mohammad Riza Ramadhanti, Pratiwi Kiki Ramdhany, Armilla Putri Rantika Khumairah Rara Indicha Pratiwi Resi, Gabriel Romanus Retno Rosariastuti Rico Januar Sitorus Riesa Tirta Maladewi Rika Indriyani Rima Fadillah Rina Elvia Rina Elvia Rina Elvia Rina Elvia Rina Elvia Rina Elvia, Rina Rini Astuti Damanik Rini Indriani Rio Sunardi Ririn Trinanda Riyanti, Rossa Riyanto Riyanto Rizki M. Okumura Rofiqa Asri Sa'adah, Aminatus Sadila, Salsa Salastri Rohiat Salastri Rohiat Salastri Rohiat Salastri Rohiat Salsabila, Fahira Naifa Salsabila, Unik Hanifah Samsia Santhy Wyantuti SANTI LISNAWATI Saragih, Melva Savira, Syafa Maajid Sayyid Muhammad Riski Mubarok Setiawan, Mulya Gigih Setiawati, Irka Shaddam chusein Siregar, Sri Sulpha Siti Sundari Siti Utami Dewi, Siti Utami Soeryodarundio, Koosdaryanti Suhika, Dewi Sumpono Sumpono Sura Ginting Sura Menda Ginting Sura Menda Ginting Sura Menda Ginting Sutiharni, Sutiharni Sutriani Syafi'i, Alfan Syafi’I Syahputra, Abdul Karim Syahrial Shaddiq Tiara Nitaria Sinaga Tiya Rurin Utari Tri Septi Triharningsih, Septia Nur Tuti Tutuarima Tyas Sri Muryati Uliyandari, Mellyta Vannesa Okta Andyani Vera Dwi Alfina Vika Octavia Sari Wahyu Ningsih, Elen Wahyudi Sutopo Widi Hartono Widi Hartono Wijaya, Roma Winata, Nadya Surya Winda Siptiani Wiwit Wiwit Wiwit Alwi Wovie Azizah Wulan Agustina Yani Handayani Yati Afiyanti Yelly Jelita Yeni Wahyuni Hartati Yenny Sariasih Yesi Hepriyeni yetmi, Yetmi Yosie Andriani Yovi Sepriansyah Yusuf, Siti Muthmainnah Zahra Salsabila Zakiah, Zabrina Wardah Annafsatuz Zakiyah, Nesfitri Aufa