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undergraduate thesis
Sinteza multivarijabilnog PID regulatora međusobno spregnutih mehaničkih sustava primjenom linearnih matričnih nejednadžbi
Zagreb: University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, 2020. urn:nbn:hr:235:311543
Arandia-Krešić, Srećko
University of Zagreb
Faculty of Mechanical Engineering and Naval Architecture

Institutional repository: Repository of Faculty of Mechanical Engineering and Naval Architecture University of Zagreb

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Arandia Krešić, S. (2020). Sinteza multivarijabilnog PID regulatora međusobno spregnutih mehaničkih sustava primjenom linearnih matričnih nejednadžbi (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture. Retrieved from https://urn.nsk.hr/urn:nbn:hr:235:311543

Arandia Krešić, Srećko. "Sinteza multivarijabilnog PID regulatora međusobno spregnutih mehaničkih sustava primjenom linearnih matričnih nejednadžbi." Undergraduate thesis, University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, 2020. https://urn.nsk.hr/urn:nbn:hr:235:311543

Arandia Krešić, Srećko. "Sinteza multivarijabilnog PID regulatora međusobno spregnutih mehaničkih sustava primjenom linearnih matričnih nejednadžbi." Undergraduate thesis, University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, 2020. https://urn.nsk.hr/urn:nbn:hr:235:311543

Arandia Krešić, S. (2020). 'Sinteza multivarijabilnog PID regulatora međusobno spregnutih mehaničkih sustava primjenom linearnih matričnih nejednadžbi', Undergraduate thesis, University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, accessed 28 December 2024, https://urn.nsk.hr/urn:nbn:hr:235:311543

Arandia Krešić S. Sinteza multivarijabilnog PID regulatora međusobno spregnutih mehaničkih sustava primjenom linearnih matričnih nejednadžbi [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture; 2020 [cited 2024 December 28] Available at: https://urn.nsk.hr/urn:nbn:hr:235:311543

S. Arandia Krešić, "Sinteza multivarijabilnog PID regulatora međusobno spregnutih mehaničkih sustava primjenom linearnih matričnih nejednadžbi", Undergraduate thesis, University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:235:311543

Metadata
TitleSinteza multivarijabilnog PID regulatora međusobno spregnutih mehaničkih sustava primjenom linearnih matričnih nejednadžbi
Title (english)Multivariable PID controller synthesis for coupled mechanical systems via linear matrix inequality approach
AuthorSrećko Arandia-Krešić
MentorVladimir Milić (mentor)
GranterUniversity of Zagreb
Faculty of Mechanical Engineering and Naval Architecture
Zagreb
Defense date and country2020-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Automation and Robotics
Abstract
Završni rad pokušat će prvotno predstaviti matematički pristup regulaciji primjenom linearnih matričnih nejednadžbi (LMN), odnosno optimizacijskim problemima s konveksnim ograničenjima, i to s posebnim naglaskom na H_beskonačno stabilizaciju. Razmatraju se dosadašnje spoznaje LMN-a u teoriji regulacije te se navode i obrađuju optimizacijski alati, posebice metoda unutarnje točke za njihovo rješavanje. Vrhunac takvog teorijskog razmatranja bit će PID regulacija. Sekundarno, iznjedriti će se na isti način sinteza PID regulatora mehaničkog nelinearnog sustava sastavljenog od dva elastično spregnuta mehanička podsustava. Pristupit će se pritom linearnim matričnim nejednadžbama, budući da danas predstavljaju jedan od glavnih smjerova napretka u sličnim primjenama. Štoviše, koristeći dosadašnje spoznaje disipativnih sustava, koncept će se temeljiti na lemi ograničene realnosti (eng. bounded-real lemma), odnosno oslanjanju na H_boskonačno normu prijenosne funkcije.
Abstract (english)
This thesis will attempt firstly to present mathematical approach to the synthesis of controllers based on Linear Matrix Inequalities (LMI), and more so H_infinity stabilization. Current acknowledgements of LMI-s, or generally constrained optimization in control synthesis, as well as modern optimization tools, including interior-point method for finding their solutions shall be discussed. The peak of such theoretical considerations shall be PID control. Secondly, PID controller synthesis of the mechanical nonlinear system incorporated by two elastically interconnected subsystems shall be derived accordingly. LMI approach will be taken as it represents one of the most important niches of modern optimal control theory. Furthermore, taking in to account current knowledge of dissipative systems, concept will be based on bounded-real lemma and H_infinity norm of the transfer function.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:235:311543
Study programmeTitle: Mechanical Engineering
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka strojarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka strojarstva)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2020-09-18 09:44:20