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All Journal Journal of Mathematical and Fundamental Sciences Limits: Journal of Mathematics and Its Applications Eksakta : Berkala Ilmiah Bidang MIPA Journal of Robotics and Control (JRC) InPrime: Indonesian Journal Of Pure And Applied Mathematics Jurnal Pengabdian Masyarakat Khatulistiwa Tarbiyah Wa Ta'lim: Jurnal Penelitian Pendidikan dan Pembelajaran
Purnawan, Heri
Department Of Electrical Engineering, Universitas Islam Lamongan, Lamongan
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 1 
Optimal Control in a Mathematical Model of Smoking Nur Ilmayasinta; Heri Purnawan
Journal of Mathematical and Fundamental Sciences Vol. 53 No. 3 (2021)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2021.53.3.4

Abstract

This paper presents a dynamic model of smoking with optimal control. The mathematical model is divided into 5 sub-classes, namely, non-smokers, occasional smokers, active smokers, individuals who have temporarily stopped smoking, and individuals who have stopped smoking permanently. Four optimal controls, i.e., anti-smoking education campaign, anti-smoking gum, anti-nicotine drug, and government prohibition of smoking in public spaces are considered in the model. The existence of the controls is also presented. The Pontryagin maximum principle (PMP) was used to solve the optimal control problem. The fourth-order Runge-Kutta was employed to gain the numerical solutions.
Barisan Aritmetika Bertingkat dengan Menggunakan Interpolasi Lagrange Heri Purnawan; Subiono Subiono
Limits: Journal of Mathematics and Its Applications Vol 19, No 2 (2022)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v19i2.8298

Abstract

Penelitian ini membahas tentang suatu cara yang belum pernah digunakan untuk mengkonstruksi rumus suku ke-n barisan aritmetika bertingkat menggunakan interpolasi Lagrange. Rumus yang telah didapat bisa dimanfaatkan untuk memperoleh suku ke-n dari barisan aritmetika bertingkat k, dengan syarat diketahui sebanyak  suku dari barisan tersebut. Melalui beberapa contoh ternyata bahwa rumus suku ke-n menggunakan interpolasi Lagrange, yaitu u_n dapat digunakan untuk memperoleh nilai suku yang diinginkan.
Tingkat Depresi, Stres, dan Kecemasan Mahasiswa Teknik Elektro selama Pembelajaran Daring Rifky Aisyatul Faroh; Heri Purnawan; Muhammad Mahbub Junaidi
Tarbiyah Wa Ta'lim: Jurnal Penelitian Pendidikan dan Pembelajaran Vol 10 No 1 (2023): TARBIYAH WA TA'LIM March 2023
Publisher : UIN Sultan Aji Muhammad Idris Samarinda

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21093/twt.v10i1.4966

Abstract

Pandemi covid-19 sangat berdampak pada dunia pendidikan. Pembelajaran yang semula dilakukan dengan tatap muka berubah menjadi jarak jauh (daring) atau yang biasa disebut dengan pembelajaran online. Tidak sedikit mahasiswa yang mengeluh akan adanya perubahan tersebut. Keterbatasan sinyal hingga tingkat kepahaman materi menjadi keluhan para mahasiswa tersebut. Kejenuhan yang dialami oleh mahasiswa akibat pembelajaran online dapat berdampak pada kondisi psikologi seseorang. Jika dibiarkan, maka dapat mengakibatkan adanya gangguan depresi, stress, maupun kecemasan. Tujuan penelitian ini yaitu untuk mendeskripsikan tingkat depresi, stress, dan kecemasan mahasiswa Teknik Elektro selama pembelajaran daring. Metode penelitian menggunakan analisis deskriptif kuantitatif dengan pengumpulan data menggunakan kuesioner DASS 21. Sampel yang digunakan yaitu sebanyak 90 mahasiswa Teknik Elektro Universitas Islam Lamongan. Teknik pengambilan data yang digunakan adalah accidental sampling, yaitu dengan cara meminta kesediaan responden untuk terlibat dalam penelitian ini. Analisis yang digunakan yaitu analisis deskriptif dan analisis regresi berganda untuk mengetahui faktor-faktor yang berpengaruh terhadap depresi, stress, dan kecemasan pada mahasiswa selama dilakukannya pembelajaran online. Hasil penelitian menunjukkan 17,8% responden mengalami depresi, 25,6% mengalami stress, dan 21,2% mengalami kecemasan. Hasil analisis regresi menunjukkan bahwa faktor-faktor yang mempengaruhi depresi, stres, dan kecemasan pada mahasiswa selama pembelajaran online adalah sulitnya menikmati waktu luang dan kesulitan dalam pembelajaran online.
Moving Horizon State Estimation for Linear System with Application to Autonomous Vehicle Purnawan, Heri; Ilmi, Ulul; Faroh, Rifky Aisyatul; Ar Rizqi, Ahmad Bustanul Ali; Resmi, Fitroh
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol 5, No 1 (2023)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v5i1.28313

Abstract

AbstractThis paper proposes moving horizon estimation (MHE) to estimate the state variables of autonomous vehicle linear systems under measurement noises. To solve the MHE optimization problem, quadratic programming is employed. The steering angle, yaw angle, and global position constraints of an autonomous vehicle are considered in the estimation design. According to the simulation results, it can be observed that although the longer MHE step can give better results compared to the shorter MHE step, the difference in the MHE step only slightly affects the estimated results. However, the longer MHE step can increase the computational time. Additionally, the proposed MHE scheme is compared to the Kalman filter (KF) estimator. Based on the obtained results, the KF gives a better estimation than the MHE, but this notion must be verified for other case studies.Keywords: autonomous vehicle; Kalman filter; linear system; MHE; quadratic programming. AbstrakPaper ini mengusulkan moving horizon estimation (MHE) untuk mengestimasi variabel keadaan sistem linier kendaraan otonom karena pengaruh noise pengukuran. Untuk menyelesaikan masalah optimasi MHE, digunakan pemrograman kuadratik. Kendala sudut kemudi, sudut yaw dan posisi global dari kendaraan otonom dipertimbangkan dalam desain estimasi. Dari hasil simulasi dapat diketahui bahwa meskipun langkah MHE yang lebih panjang dapat memberikan hasil yang lebih baik dibandingkan dengan langkah MHE yang lebih pendek, perbedaan langkah MHE hanya sedikit mempengaruhi hasil estimasi. Namun, langkah MHE yang semakin panjang dapat meningkatkan waktu komputasi. Selain itu, skema MHE yang diusulkan dibandingkan dengan estimator Kalman filter (KF). Berdasarkan hasil yang diperoleh, KF memberikan estimasi yang lebih baik daripada MHE, tetapi gagasan ini harus diverifikasi untuk studi kasus lainnya.Kata Kunci: kendaraan otonom; Kalman filter; sistem linier; MHE; pemrograman kuadratik. 2020MSC: 62P35, 65D19
Model Predictive Control Design under Stochastic Parametric Uncertainties Based on Polynomial Chaos Expansions for F-16 Aircraft Purnawan, Heri; Asfihani, Tahiyatul; Kim, Seungkeun; Subchan, Subchan
Journal of Robotics and Control (JRC) Vol 5, No 3 (2024)
Publisher : Universitas Muhammadiyah Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18196/jrc.v5i3.21366

Abstract

Parametric uncertainty in a dynamical system has the potential to undermine the performance of a closed-loop controller designed through classical techniques. This paper presents a novel approach to stochastic model predictive control (SMPC) by employing the polynomial chaos expansion (PCE) method called PCE-based model predictive control (PCE-MPC). This method offers a more robust and efficient solution to tackle parameter uncertainties in dynamic systems. The PCE method is utilized to propagate uncertainties through orthogonal polynomials, and the Galerkin projection approach is employed to compute PCE coefficients via intrusive spectral projection (ISP). In Galerkin projection, the inner product involves an integration term, and the integration values are approximated using the Gauss-Legendre quadrature. This quadrature method precisely integrates the p-th order polynomial using 2p-1 points. The numerical case study focuses on the short-period mode of the F-16 aircraft model. Simulation results demonstrate the robust performance of the proposed method in the presence of parameter uncertainties, with system states converging to the original points for each parameter realization under various initial conditions. Comparison results indicate negligible differences between MPC and PCE-MPC, showcasing nearly identical performance. However, further investigation is warranted in other cases and more complex systems involving parameter uncertainties.
PELATIHAN PLC OUTSEAL DAN SCADA HAIWELL DI SMK NEGERI 1 LAMONGAN Hanifah, Ayu Ismi; Purnawan, Heri; Anjarsari, Elly
Jurnal Pengabdian Masyarakat Khatulistiwa Vol 7, No 2 (2024): NOVEMBER
Publisher : STKIP Persada Khatulistiwa Sintang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31932/jpmk.v7i2.3704

Abstract

ABSTRACTIn preparing students to face the challenges of the industrial world 4.0, namely focusing on automation and collaborating with cyber technology, SMKN 1 Lamongan is determined to provide quality education that is relevant to the needs of the job market. Automated systems have now become a primary need in industry so that all vocational schools are required to prepare their students to be able to master them. PLC is a technology today that has been used in large industries as a flexible and complex automatic controller. Haiwell as an HMI for monitoring which has a SCADA function. The aim of this activity is to prepare the students of SMKN 1 Lamongan who will later enter the industrial world. Haiwell's Outseal PLC and SCADA were chosen for this training because they are popular automation devices and systems and are widely used in various industries. Apart from that, Outseal PLC is used in this training activity because Outseal PLC is easy to understand, simple, cheap and very affordable. This training was successfully implemented as seen from the results of the questionnaire and the enthusiasm of the participants when the training activity took place, participants were able to solve the problems given.Keywords: Training, PLC-SCADA, Outseal-Haiwell, SMKABSTRAKDalam mempersiapkan siswa untuk menghadapi tantangan dunia industri 4.0 yaitu menitikberatkan pada otomatisasi dan mengkolaborasikannya dengan teknologi cyber, SMKN 1 Lamongan bertekad untuk memberikan pendidikan berkualitas dan relevan dengan kebutuhan pasar kerja. Sistem otomatis kini sudah menjadi kebutuhan primer di Industri sehingga semua sekolah kejuruan diharuskan dapat mempersiapkan siswanya untuk dapat menguasainya. PLC merupakan salah satu teknologi pada masa kini yang telah digunakan pada industri-industri besar sebagai kontroler otomatis yang sudah fleksibel dan kompleks. Haiwell sebagai HMI untuk memonitor yang mempunyai fungsi sebagai SCADA. Tujuan kegiatan ini adalah sebagai persiapan para siswa SMKN 1 Lamongan yang nantinya akan terjun ke dunia industri. PLC Outseal dan SCADA Haiwell dipilih dalam pelatihan ini karena merupakan perangkat dan sistem otomasi yang populer dan banyak digunakan di berbagai industri. Selain itu, PLC Outseal digunakan dalam kegiatan pelatihan ini karena PLC Outseal mudah dipahami, simple, murah, dan sangat terjangkau. Pelatihan ini berhasil dilaksanakan terlihat dari hasil dari kuesioner dan antusiasme peserta ketika kegiatan pelatihan berlangsung, peserta dapat menyelesaikan permasalahan yang diberikan.Kata Kunci: Pelatihan, PLC-SCADA, Outseal-Haiwell, SMK
Optimal Control with Treatment and Water Sanitation for Cholera Epidemic Model Purnawan, Heri; Aisyatul Faroh, Rifky; Hasan Wahyudi, Muhammad; Cahyaningtias, Sari
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 24 No. 03 (2023): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/eksakta/vol23-iss03/428

Abstract

This paper proposes a mathematical model for cholera using optimal control of treatment through quarantine and water sanitation. Cholera is acute diarrhoea caused by Vibrio cholera bacteria infecting the intestinal tract. The analysis related to the spread of this disease is carried out through a mathematical approach. The constructed mathematical model is demonstrated epidemiologically. The proposed optimal control is the treatment of infected individuals during the quarantine period and sanitation, namely environmental hygiene, especially water. This strategy aims to suppress the number of infected individuals and reduce the concentration of bacteria due to cholera disease. To solve the optimal control problem, we employ the 4th-order forward-backward Runge-Kutta method. Based on the simulation results, the number of individuals infected by cholera and the concentration of bacteria decreased significantly. Moreover, the proposed method can transfer infected to recovered individuals faster than an optimal control treatment.
Moving Horizon State Estimation for Linear System with Application to Autonomous Vehicle Purnawan, Heri; Ilmi, Ulul; Faroh, Rifky Aisyatul; Ar Rizqi, Ahmad Bustanul Ali; Resmi, Fitroh
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol. 5 No. 1 (2023)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v5i1.28313

Abstract

AbstractThis paper proposes moving horizon estimation (MHE) to estimate the state variables of autonomous vehicle linear systems under measurement noises. To solve the MHE optimization problem, quadratic programming is employed. The steering angle, yaw angle, and global position constraints of an autonomous vehicle are considered in the estimation design. According to the simulation results, it can be observed that although the longer MHE step can give better results compared to the shorter MHE step, the difference in the MHE step only slightly affects the estimated results. However, the longer MHE step can increase the computational time. Additionally, the proposed MHE scheme is compared to the Kalman filter (KF) estimator. Based on the obtained results, the KF gives a better estimation than the MHE, but this notion must be verified for other case studies.Keywords: autonomous vehicle; Kalman filter; linear system; MHE; quadratic programming. AbstrakPaper ini mengusulkan moving horizon estimation (MHE) untuk mengestimasi variabel keadaan sistem linier kendaraan otonom karena pengaruh noise pengukuran. Untuk menyelesaikan masalah optimasi MHE, digunakan pemrograman kuadratik. Kendala sudut kemudi, sudut yaw dan posisi global dari kendaraan otonom dipertimbangkan dalam desain estimasi. Dari hasil simulasi dapat diketahui bahwa meskipun langkah MHE yang lebih panjang dapat memberikan hasil yang lebih baik dibandingkan dengan langkah MHE yang lebih pendek, perbedaan langkah MHE hanya sedikit mempengaruhi hasil estimasi. Namun, langkah MHE yang semakin panjang dapat meningkatkan waktu komputasi. Selain itu, skema MHE yang diusulkan dibandingkan dengan estimator Kalman filter (KF). Berdasarkan hasil yang diperoleh, KF memberikan estimasi yang lebih baik daripada MHE, tetapi gagasan ini harus diverifikasi untuk studi kasus lainnya.Kata Kunci: kendaraan otonom; Kalman filter; sistem linier; MHE; pemrograman kuadratik. 2020MSC: 62P35, 65D19
Co-Authors Anjarsari, Elly Ar Rizqi, Ahmad Bustanul Ali Ayu Ismi Hanifah Cahyaningtias, Sari Hasan Wahyudi, Muhammad Ilmayasinta, Nur Ilmi, Ulul Kim, Seungkeun Muhammad Mahbub Junaidi Resmi, Fitroh Rifky Aisyatul Faroh Subchan, Subchan Subiono - Tahiyatul Asfihani Ulul Ilmi