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KONTROL KOMPLEMETER YANG OPTIMAL UNTUK SISTEM LTI STABIL POSITIF Nurweni Putri; Iswan Rina
Jurnal Matematika, Statistika dan Komputasi Vol. 17 No. 3 (2021): May, 2021
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v17i3.13379

Abstract

The optimal control problem is defined as a problem in selecting a controller u(t) in a continuous linear system, so that it can provide the optimum value for a given objective function. The u(t) controller is expected to control the system so that it produces the desired output. In this research, it will be studied about how to select and construct the optimal controller u(t) in the Linear Time Invariant MIMO system positive stable, so that the given system will remain positive when given constant disturbance
REALISASI POSITIF STABIL ASIMTOTIK SISTEM LINIER DISKRIT DENGAN POLE KONJUGAT KOMPLEKS Iswan Rina
Jurnal Matematika UNAND Vol 5, No 1 (2016)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.5.1.27-33.2016

Abstract

Abstrak. Dalam artikel ini akan dikaji masalah realisasi positif stabil asimtotik darisuatu fungsi transfer yang memuat pole kompleks konjugat. Syarat perlu dan cukupuntuk eksistensi realisasi positif stabil asimtotik disajikan.Kata Kunci: Sistem linier diskrit, pole kompleks konjugat, realisasi positif stabil asimtotik
MENENTUKAN KONTROL YANG OPTIMAL DARI SISTEM LINEAR TIME INVARIANT (LTI) BERKENDALA Nurweni Putri; Iswan Rina
MAp (Mathematics and Applications) Journal Vol 4, No 1 (2022)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/map.v4i1.4187

Abstract

Sistem kontrol optimal dikatakan berkendala jika kontrol u(t) dari sistem tersebut terbatas. Sistem berkendala ini dapat diubah menjadi sistem kontrol optimal tak berkendala dengan cara mengkontruksi sistem sedemikian sehingga kontrol u*(t) yang optimal  menjadi tidak terbatas. Pada artikel ini akan dibahas mengenai bagaimana menetukan kontrol yang optimal dari sistem Linear Time Invariant (LTI) berkendala dimana u*(t) harus memenuhi sistem dan meminimukan fungsi tujuan yang diberikan dengan hasil bentuk kontrol dalam keadaan yang optimal u*(t)=-SGN{q*(t)} dimana q*(t) = BT λ*(t).
Mengontruksi Kontrol Optimal Berkendala Pada Sistem LTI Dengan Keadaan Berkendala Menggunakan Metode Fungsi Penalti Nurweni Putri; Iswan Rina
Jurnal Teknologi Dan Sistem Informasi Bisnis Vol 5 No 2 (2023): April 2023
Publisher : Prodi Sistem Informasi Universitas Dharma Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47233/jteksis.v5i2.801

Abstract

The optimal control problem is defined as a problem in determining the control u(t) that depends on time t, such that it produces the optimum value for the objective function. The optimal control system with constrained conditions can be changed to an optimal control system without constraints by constructing the value of u(t) so that u(t) is not constrained. In this research, we will examine how to determine an optimal control of a system of time-independent state space or Linear Time Invariant (LTI) with constrained states and minimize a given objective function. In addition, how to construct an optimal controller that is constrained to become an optimal controller without constraints using the penalty function method and its implementation using Matlab. The results of this study are that the optimal control is:.
The Use of Sensitivity Analysis to Find Maximum Profit in The Production Of Msme Angga Furniture Using The Simplex Method Dwita Septiani; Iswan Rina; Putri, Nurweni; Aulia Oktavia
Journal of Applied Mathematics and Modelling Vol. 1 No. 2 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i2.36

Abstract

At time progresses, business competition becomes increasingly fierce. This also result in MSME (Micro,small dan Medium Enterprises  from various cities  competing fiercely. There are many MSME's that have emerged, one of which is Angga Furniture MSME which operates in the furniture sector. The aim of this research is to determine the maximum profit obtained using the Simplex Method and continue with Sensitivity Analysis to see to what extent the objective function coefficients and constants on the right side of the constraint function can  change without affecting the optimal solution. Based on calculation  using the Simple  Method, a maximum sales profit of IDR 2.830.000 is obtained if production is increased for 10 baby swings, 9 capsule chairs and 2 room deviders. Furthermore, using  Sensitivity Analysis calculations, the maximum sales profit is IDR 2.454.000 and the maximum sales profit is IDR 4.396.000.