Optimum Complementary Control for Stable Systems of the Positive Linear Time Invariant

Putri, Nurweni; Rina, Iswan

doi:10.20956/j.v17i3.13379

Open access Jurnal

Optimum Complementary Control for Stable Systems of the Positive Linear Time Invariant

KONTROL KOMPLEMETER YANG OPTIMAL UNTUK SISTEM LTI STABIL POSITIF

Jurnal Matematika, Statistika dan Komputasi · Vol. 17 No. 3 (2021) · pp. 462–471

DOI: 10.20956/j.v17i3.13379
ISSN: 2614-8811, 1858-1382
Published: 2021-05-12
Publisher: Department of Mathematics, Hasanuddin University
Language: en
License: creativecommons.org/licenses/by/4.0

Abstract

English

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

Bahasa Indonesia

Masalah kontrol optimal didefinisikan sebagai masalah dalam pemilihan suatu pengontrol u(t) pada sistem linier kontinu, sedemikian sehingga dapat memberikan nilai optimum bagi fungsi objektif yang diberikan. Pengontrol u(t) ini diharapkan bisa mengontrol sistem sehingga menghasilkan output sesuai dengan yang diinginkan. Dalam penelitian ini akan dikaji tentang bagaimana memilih dan mengkonstruksi pengontrol optimal u(t) pada sistem MIMO Linier Time Invariant stabil positif, sehingga sistem yang diberikan akan tetap stabil positif saat diberikan disturbance konstan.

Keywords

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Co-author	Organisation	Joint articles
Muhafzan Muhafzan	Affiliation unknown	1
Maya Sari Syahrul	Affiliation unknown	1
Rosi Ramayanti	Affiliation unknown	1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.

Original metadata (oai_dc)

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	<dc:title xml:lang="en">Optimum Complementary Control for Stable Systems of the Positive Linear Time Invariant </dc:title>
	<dc:title xml:lang="id">KONTROL KOMPLEMETER YANG OPTIMAL UNTUK SISTEM LTI STABIL POSITIF</dc:title>
	<dc:creator xml:lang="en">Putri, Nurweni</dc:creator>
	<dc:creator xml:lang="en">Rina, Iswan </dc:creator>
	<dc:subject xml:lang="en">Positive Stable MIMO System</dc:subject>
	<dc:subject xml:lang="en"> Optimal Complementary Control</dc:subject>
	<dc:subject xml:lang="en">Hurwitz Matrix</dc:subject>
	<dc:subject xml:lang="en">Constant Disturbace</dc:subject>
	<dc:description xml:lang="en">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</dc:description>
	<dc:description xml:lang="id">Masalah kontrol optimal didefinisikan sebagai masalah dalam pemilihan suatu pengontrol u(t) pada sistem linier kontinu, sedemikian sehingga dapat memberikan nilai optimum bagi fungsi objektif yang diberikan. Pengontrol u(t) ini diharapkan bisa mengontrol sistem sehingga menghasilkan output sesuai dengan yang diinginkan. Dalam penelitian ini akan dikaji tentang bagaimana memilih dan &amp;nbsp;mengkonstruksi pengontrol optimal u(t)&amp;nbsp; pada sistem MIMO Linier Time Invariant stabil positif, sehingga sistem yang diberikan akan tetap stabil positif saat diberikan disturbance konstan.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2021-05-12</dc:date>
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	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/13379</dc:identifier>
	<dc:identifier>10.20956/j.v17i3.13379</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 17 No. 3 (2021):  May, 2021; 462-471</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/13379/6733</dc:relation>
	<dc:relation>10.20956/j.v17i3.13379.g6733</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2021 Author and publisher</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
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