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master's thesis
Redukcija sustava drugog reda
Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Applied Mathematics and Informatics, 2023. urn:nbn:hr:126:772606
Šokčević, Dražen
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Institutional repository: Repository of School of Applied Mathematics and Informatics

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Šokčević, D. (2023). Redukcija sustava drugog reda (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:772606

Šokčević, Dražen. "Redukcija sustava drugog reda." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:772606

Šokčević, Dražen. "Redukcija sustava drugog reda." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:772606

Šokčević, D. (2023). 'Redukcija sustava drugog reda', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 21 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:772606

Šokčević D. Redukcija sustava drugog reda [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2023 [cited 2024 December 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:772606

D. Šokčević, "Redukcija sustava drugog reda", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:126:772606

Metadata
TitleRedukcija sustava drugog reda
Title (english)Model reduction On Second-Order Systems
AuthorDražen Šokčević
MentorZoran Tomljanović (mentor)
Committee memberKristian Sabo (predsjednik povjerenstva)
Committee memberZoran Tomljanović (član povjerenstva)
Committee memberDomagoj Ševerdija (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2023-09-08, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Numerical Mathematics
Abstract
U ovom diplomskom radu bavimo se temom redukcije sustava drugog reda algoritmom balansiranog odsijecanja. Na početku rada definiramo linearno vremenski invarijantan sustav prvog reda i funkciju prijenosa za sustav. Definirat ćemo svojstva stabilnosti, upravljivosti i osmotrivosti koja sustav mora imati kako bi se mogao reducirati algoritmom balansiranog odsijecanja. Algoritam balansiranog odsijecanja za sustave prvog reda primijenit ćemo na CD player modelu. Definirat ćemo sustave drugog reda i njihova svojstva te primijeniti na primjeru Mass-Spring-Damper jednu verziju algoritma balansiranog odsijecanja za sustave drugog reda. Metode balansiranog odsijecanja za sustave drugog reda su važne jer zadržavaju strukturu sustava i fizikalnu interpretaciju.
Abstract (english)
In this thesis, we deal with the topic of second-order system reduction using the balanced truncation algorithm. At the beginning of the work, we define a linear time-invariant system of the first order and a transfer function for the system. We will define the properties of stability, controllability and observability that the system must have in order to be able to be reduced by the balanced truncation algorithm. We will demonstrate the balanced truncation algorithm for first-order systems on the CD player model. We will define secondorder systems and their properties and apply, using the Mass-Spring-Damper example, one version of the balanced truncation algorithm for second-order systems. Balanced truncation methods for second-order systems are important because they preserve the system structure and physical interpretation.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:772606
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Mathematics and Computer Science
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2023-09-12 10:44:37