Numerical Solution of Fractional Control Problems via Fractional Differential Transformation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F18%3APU128931" target="_blank" >RIV/00216305:26620/18:PU128931 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1109/EECS.2017.29" target="_blank" >http://dx.doi.org/10.1109/EECS.2017.29</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/EECS.2017.29" target="_blank" >10.1109/EECS.2017.29</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical Solution of Fractional Control Problems via Fractional Differential Transformation

Popis výsledku v původním jazyce

In the paper we deal with linear fractional control problems with constant delays in the state. Single-order systems with fractional derivative in Caputo sense of orders between 0 and 1 are considered. The aim is to introduce a new algorithm convenient for numerical approximation of a solution of the studied problem. The method consists of the fractional differential transformation in combination with general methods of steps. The original system is transformed to a system of recurrence relations. Approximation of the solution is given in the form of truncated fractional power series. The choice of order of the fractional power series is discussed and the order is determined in relation to the order of the system. An application on a two-dimensional fractional system is shown. Exact solution is found for the first two intervals of the method of steps. The result for Caputo derivative of order 1 coincides with the solution of first-order system with classical derivative. We conclude that the algorithm is applicable, efficient and gives reliable results.

Název v anglickém jazyce

Numerical Solution of Fractional Control Problems via Fractional Differential Transformation

Popis výsledku anglicky

In the paper we deal with linear fractional control problems with constant delays in the state. Single-order systems with fractional derivative in Caputo sense of orders between 0 and 1 are considered. The aim is to introduce a new algorithm convenient for numerical approximation of a solution of the studied problem. The method consists of the fractional differential transformation in combination with general methods of steps. The original system is transformed to a system of recurrence relations. Approximation of the solution is given in the form of truncated fractional power series. The choice of order of the fractional power series is discussed and the order is determined in relation to the order of the system. An application on a two-dimensional fractional system is shown. Exact solution is found for the first two intervals of the method of steps. The result for Caputo derivative of order 1 coincides with the solution of first-order system with classical derivative. We conclude that the algorithm is applicable, efficient and gives reliable results.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

<a href="/cs/project/GA16-08549S" target="_blank" >GA16-08549S: Identifikace dynamických systémů na časových škálách</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings of European Conference on Electrical Engineering and Computer Science 2017

ISBN

978-1-5386-2085-4

ISSN

—

e-ISSN

—

Počet stran výsledku

5

Strana od-do

107-111

Název nakladatele

Neuveden

Místo vydání

Neuveden

Místo konání akce

Bern

Datum konání akce

17. 11. 2017

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

000455867600021