doktorska disertacija
Nikolaj Semenič (Author), Rajko Svečko (Mentor)

Abstract

V disertaciji je predstavljena sinteza regulatorja za sisteme z zakasnitvami, ki temelji na razreševanju zaprtozančnih polinomskih enačb, ki odražajo lastnosti zaprtozančnega karakterističnega kvazi-polinoma. V delu so obravnavane tako notranje zakasnitve kot vhodne oz. izhodne transportne zakasnitve. Predlagana je celostna rešitev polinomske sinteze, ki omogoča izbiro poljubnega zaprtozančnega kvazi-polinoma s pomočjo uporabe opazovalnikazaprtozančnega sistema. Podoben pristop smo izbrali tudi v primerukompenzacije transportne zakasnitve in sicer s strukturo kaskadnih opazovalnikov. V delu podrobno obravnavamo uporabo ter vpliv prostih polinomov, ki nastopijo v sistemu ob ustrezni izbiri strukture regulatorja. Proste polinome lahko uporabimo za optimizacijo kvazi-polinoma ali za optimizacijo robustnosti sistema po principu metrike Hinf. Optimizacijski problem robustnosti smo razširili na različne vidike obravnave sistema pod vplivom motenj v sistemu samem ali v zakasnitvah, ki so prisotne. Postopek optimizacije je bil izveden s pomočjo diferencialne evolucije. V delu je izpostavljen tudi poenostavljen postopek izbire ustreznega karakterističnega kvazi-polinoma ter učinkovit algoritem za izračun le nekaj skrajno desnih lastnih vrednosti sistemov z zakasnitvami, ki je pri obravnavi takšnih sistemov nepogrešljiv.

Keywords

robustno vodenje;pomikanje polov;sistemi z zakasnitvami;zakasnitve;izračun lastnih vrednosti;

Data

Language: Slovenian
Year of publishing:
Typology: 2.08 - Doctoral Dissertation
Organization: UM FERI - Faculty of Electrical Engineering and Computer Science
Publisher: N. Semenič]
UDC: 004.052.2:512.643.53(043.3)
COBISS: 17357334 Link will open in a new window
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Other data

Secondary language: English
Secondary title: Robust pole placement for systems with delays
Secondary abstract: This dissertation presents controller synthesis for time delay systems based on the solutions of sets of polynomial equations, which represent the essence of characteristic quasi-polynomial. In this work internal delays as well as input/output transport delays are addressed. We propose integrated solution ofpole placement technique using a closed loop state observer, which allows arbitrary choice of quasi-polynomial. Similar approach was considered in the case of dealing with the compensation of transport delays by introducing a specific structure of cascade observers. We fully discuss the use and the influence of free polynomials, which occur in the system as a result of the appropriate structure of the controller. Free polynomials might be used for the optimization of the quasi-polynomial or for the optimization of the systemrobustness according to Hinf metrics. The robustness optimization problem was focused on different aspects of perturbations acting directly either on the system parameters or to the time delays present. The optimization process was performed using differential evolution. The work alsodeals with the proposed method for the simplified selection of suitable characteristic quasi-polynomial and the proposed effective algorithm for the computation of only few rightmost eigenvalues for time delay systems, which is indispensable in case of dealing with such systems.
Secondary keywords: robust control;pole placement;time delay system;delays;eigenvalues computation;Regulatorji;Disertacije;Sinteza;
URN: URN:SI:UM:
Type (COBISS): Doctoral dissertation
Thesis comment: Univ. v Mariboru, Fak. za elektrotehniko, računalništvo in informatiko
Pages: IV, 130 str.
ID: 8727868