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Model and Controller Order Reduction for Infinite Dimensional Systems

Journal of Engineering and Technological Sciences · Vol. 42 No. 1 (2013) · hlm. 1–16

DOI
10.5614/itbj.eng.sci.2010.42.1.1
ISSN
2338-5502, 2337-5779
Terbit
2013-09-13
Penerbit
Directorate for Research and Community Services, Institut Teknologi Bandung
Bahasa
eng

Abstrak

This paper presents a reduced order model problem using reciprocal transformation and balanced truncation followed by low order controller design of infinite dimensional systems. The class of systems considered is that of an exponentially stable state linear systems (A, B, C), where operator A has a bounded inverse, and the operator B and C are of finite-rank and bounded. We can connect the system (A, B, C) with its reciprocal system via the solutions of the Lyapunov equations. The realization of the reciprocal system is reduced by balanced truncation. This result is further translated using reciprocal transformation as the reduced -order model for the systems (A, B, C). Then the low order controller is designed based on the reduced order model. The numerical examples are studied using simulations of Euler-Bernoulli beam to show the closed-loop performance.

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  • Bandung Institute of Technology
  • Universitas Airlangga
  • Sekolah Tinggi Agama Buddha Negeri Raden Wijaya Wonogiri
  • Gunadarma University
  • Universitas Islam Negeri Alauddin Makassar
  • Politeknik Negeri Malang
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Ria Riski MarsukiAfiliasi tidak diketahui4
Siti MaryamAfiliasi tidak diketahui3
Rawdhah Binti YasaAfiliasi tidak diketahui3
Cicik AlfiniyahUniversitas Airlangga3
Sutrisno SutrisnoSekolah Tinggi Agama Buddha Negeri Raden Wijaya Wonogiri2
Hima Sakina FirdhausyAfiliasi tidak diketahui2
Kezia Yansen PasangAfiliasi tidak diketahui2
Tri Wahyu Retno NingsihGunadarma University2
Julianto JuliantoAfiliasi tidak diketahui2
Muhammad ShuhufiUniversitas Islam Negeri Alauddin Makassar2
Muhammad Abdurrahman RoisAfiliasi tidak diketahui2
Moechammad SarosaPoliteknik Negeri Malang1
Akhlaque AhmadBandung Institute of Technology1
Achmad Saefuddin NoerBandung Institute of Technology1
Rostin RostinAfiliasi tidak diketahui1
Jamal Nasir BasoAfiliasi tidak diketahui1
Deky Aji SusenoAfiliasi tidak diketahui1
Kalsum MinangsihAfiliasi tidak diketahui1
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Sumber metadata: OAI-PMH (metadata jurnal) https://journals.itb.ac.id/index.php/jets/oai, pertama di-harvest 9 Nov 2026, terakhir terlihat 9 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">Model and Controller Order Reduction for Infinite Dimensional Systems</dc:title>
	<dc:creator>Fatmawati, Fatmawati</dc:creator>
	<dc:creator>Saragih, R.</dc:creator>
	<dc:creator>Riyanto, B.</dc:creator>
	<dc:creator>Soeharyadi, Y.</dc:creator>
	<dc:description xml:lang="en-US">This paper presents a reduced order model problem using reciprocal transformation and balanced truncation followed by low order controller design of infinite dimensional systems. The class of systems considered is that of an exponentially stable state linear systems (A, B, C), where operator A has a bounded inverse, and the operator B and C are of finite-rank and bounded. We can connect the system (A, B, C) with its reciprocal system via the solutions of the Lyapunov equations. The realization of the reciprocal system is reduced by balanced truncation. This result is further translated using reciprocal transformation as the reduced -order model for the systems (A, B, C). Then the low order controller is designed based on the reduced order model. The numerical examples are studied using simulations of Euler-Bernoulli beam to show the closed-loop performance.</dc:description>
	<dc:publisher xml:lang="en-US">Directorate for Research and Community Services, Institut Teknologi Bandung</dc:publisher>
	<dc:date>2013-09-13</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journals.itb.ac.id/index.php/jets/article/view/126</dc:identifier>
	<dc:identifier>10.5614/itbj.eng.sci.2010.42.1.1</dc:identifier>
	<dc:source xml:lang="en-US">Journal of Engineering and Technological Sciences; Vol. 42 No. 1 (2010); 1-16</dc:source>
	<dc:source>2338-5502</dc:source>
	<dc:source>2337-5779</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journals.itb.ac.id/index.php/jets/article/view/126/122</dc:relation>
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