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master's thesis
Analiza nelinearnih regulacijskih sustava u faznoj ravnini
2022. urn:nbn:hr:179:998743
Kovač, Ivana
University of Split
Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture
Department of Electronics and Computing

Cite this document

Kovač, I. (2022). Analiza nelinearnih regulacijskih sustava u faznoj ravnini (Master's thesis). Split: University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture. Retrieved from https://urn.nsk.hr/urn:nbn:hr:179:998743

Kovač, Ivana. "Analiza nelinearnih regulacijskih sustava u faznoj ravnini." Master's thesis, University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, 2022. https://urn.nsk.hr/urn:nbn:hr:179:998743

Kovač, Ivana. "Analiza nelinearnih regulacijskih sustava u faznoj ravnini." Master's thesis, University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, 2022. https://urn.nsk.hr/urn:nbn:hr:179:998743

Kovač, I. (2022). 'Analiza nelinearnih regulacijskih sustava u faznoj ravnini', Master's thesis, University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, accessed 15 November 2024, https://urn.nsk.hr/urn:nbn:hr:179:998743

Kovač I. Analiza nelinearnih regulacijskih sustava u faznoj ravnini [Master's thesis]. Split: University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture; 2022 [cited 2024 November 15] Available at: https://urn.nsk.hr/urn:nbn:hr:179:998743

I. Kovač, "Analiza nelinearnih regulacijskih sustava u faznoj ravnini", Master's thesis, University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Split, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:179:998743

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Metadata
TitleAnaliza nelinearnih regulacijskih sustava u faznoj ravnini
Title (english)The analyse of nonlinear control systems in phase plane
AuthorIvana Kovač
MentorMojmil Cecić (mentor)
GranterUniversity of Split
Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture
(Department of Electronics and Computing)
Split
Defense date and country2022-09-22, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Basic Technical Sciences
Automatics
Abstract
U ovom radu analizirali smo nelinearne regulacijske sustave u faznoj ravnini koristeći metodu fazne ravnine. U stvarnom svijetu ne postoje linearni sustavi, zato nelinearni sustavi imaju posebnu važnost. Bitna razlika linearnih i nelinearnih sustava je ta da za nelinearne sustave ne vrijede princip superpozicije i homogenosti. Nelinearni sustavi su jako kompleksni, postoje fenomeni koji su karakteristični za njih kao što su granični krug i kaos. Uvid u ponašanje sustava omogućava nam metoda fazne ravnine, koja je grafička metoda za proučavanje sustava 2.reda s obzirom na početne uvjete, a primjenjiva je i na linearne i nelinearne sustave. Koristeći metodu fazne ravnine bez rješavanja diferencijalnih jednadžbi možemo nacrtati fazni portret, te na osnovu njega donijeti zaključak o stabilnosti sustava. U četvrtom poglavlju rada, koristeći programske pakete Matlab i Simulink, crtali smo fazne portrete nelinearnih sustava pri čemu je nelinearnost odvojena od linearnog sustava opisanog prijenosnom funkcijom drugog reda. Također su prikazani svi koraci analize koje je potrebno napraviti prije same simulacije sustava i crtanja faznih portreta. U zaključku su navedeni rezultati ovog rada
Abstract (english)
In this thesis, we analyzed nonlinear control systems in the phase plane using the phase plane method. In the real world there are no linear systems, that's why nonlinear systems have a special importance. The essential difference between linear and nonlinear systems is that the principles of superposition and homogeneity do not apply to nonlinear systems. Nonlinear systems are very complex, there are phenomena that are characteristic of them, such as the limit circle and chaos. Insight into the behavior of the system is provided by the phase plane method, which is a graphical method for studying 2nd-order systems with respect to initial conditions, and is applicable to both linear and non-linear systems. Using the phase plane method, without solving differential equations, we can draw a phase portrait, and based on it draw a conclusion about the stability of the system. In the fourth chapter of the thesis, using the Matlab and Simulink software packages, we drew phase portraits of nonlinear systems, where the nonlinearity is separated from the linear system described by the transfer function of the second order. Also shown are all the analysis steps that need to be done before the system simulation itself and the drawing of phase portraits. The results of this work are stated in the conclusion.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:179:998743
Study programmeTitle: Systems and Control
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra inženjer/inženjerka automatike i sustava (magistar/magistra inženjer/inženjerka automatike i sustava)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to authenticated users
Terms of useLicence In copyright icon
Created on2023-05-23 11:34:00