Title
Primena ortogonalnih funkcija u modeliranju dinamičkih sistema i upravljanju sistemima sa fazi kliznim režimima : doktorska disertacija
Creator
Milojković, Marko T., 1980-
Copyright date
2011
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Autorstvo 3.0 Srbija (CC BY 3.0)
License description
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Language
Serbian
Cobiss-ID
Theses Type
Doktorska disertacija
Other responsibilities
mentor
Antić, Dragan
Academic Expertise
Tehničko-tehnološke nauke
University
Univerzitet u Nišu
Faculty
Elektronski fakultet
Group
Katedra za automatiku
Title translated
Orthogonal Functions Applied in Modeling of Dynamical Systems and Control of Systems with Fuzzy Sliding Modes
Publisher
Niš : [M. Milojković]
Format
PDF/A (118 listova)
description
Napomene uz tekst.
Umnoženo za odbranu.
Univerzitet u Nišu, Elektronski fakultet 2011.
Bibliografija: listovi 30-32, 54-55, 80-82, 108-110.
Summary ([1] nepovezan list)
Abstract (en)
Research aim of this dissertation is the possibility of appliance of specific, for the first time developed in such a manner, orthogonal functions in modeling and control of dynamical systems. Full historical review and modern tendencies in this area of research are given. Based on existing results, a new mathematical framework and tools are developed, useful for deriving and analyzing different types of orthogonal functions. Based on the new transformations in complex domain, orthogonal, quasi orthogonal and almost orthogonal functions are derived, suitable for application in technical systems. Functions obtained in such a manner are used for designing orthogonal, almost and quasi orthogonal filters which can be successfully used in electronics, circuit theory, digital signal processing, telecommunications... This dissertation emphasizes their potential use in modeling and control of dynamical systems. All designed filters are also practically realized as printed circuit boards and verified by experiments.
Optimal approximation of the real signals in the form of orthogonal developments enables modeling of dynamical systems using new orthogonal functions with great simplicity and accuracy. This is demonstrated by experiments and comparative analysis with other modeling methods on three-tank hydraulical system, DC servo drive and transport system. Developed functions are also very convenient for the design of optimal and adaptive control systems. This is demonstrated with experiments on practically realized antenna system. Functions are also used in order to improve performances of systems with fuzzy sliding modes control. Series of experiments on anti-lock braking system are performed to demonstrate the advantages of such a control over other types of control.
Authors Key words
Dinamički sistemi
Subject
621.31
Subject
62
Type
Elektronska teza
Abstract (en)
Research aim of this dissertation is the possibility of appliance of specific, for the first time developed in such a manner, orthogonal functions in modeling and control of dynamical systems. Full historical review and modern tendencies in this area of research are given. Based on existing results, a new mathematical framework and tools are developed, useful for deriving and analyzing different types of orthogonal functions. Based on the new transformations in complex domain, orthogonal, quasi orthogonal and almost orthogonal functions are derived, suitable for application in technical systems. Functions obtained in such a manner are used for designing orthogonal, almost and quasi orthogonal filters which can be successfully used in electronics, circuit theory, digital signal processing, telecommunications... This dissertation emphasizes their potential use in modeling and control of dynamical systems. All designed filters are also practically realized as printed circuit boards and verified by experiments.
Optimal approximation of the real signals in the form of orthogonal developments enables modeling of dynamical systems using new orthogonal functions with great simplicity and accuracy. This is demonstrated by experiments and comparative analysis with other modeling methods on three-tank hydraulical system, DC servo drive and transport system. Developed functions are also very convenient for the design of optimal and adaptive control systems. This is demonstrated with experiments on practically realized antenna system. Functions are also used in order to improve performances of systems with fuzzy sliding modes control. Series of experiments on anti-lock braking system are performed to demonstrate the advantages of such a control over other types of control.
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