Detail publikace

Numerical Solution of Fractional Control Problems via Fractional Differential Transformation

REBENDA, J. ŠMARDA, Z.

Originální název

Numerical Solution of Fractional Control Problems via Fractional Differential Transformation

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

fractional control problem; differential transformation method

Autoři

REBENDA, J.; ŠMARDA, Z.

Vydáno

17. 11. 2017

ISBN

978-1-5386-2085-4

Kniha

Proceedings of European Conference on Electrical Engineering and Computer Science 2017

Strany od

107

Strany do

111

Strany počet

5

BibTex

@inproceedings{BUT149810,
  author="Josef {Rebenda} and Zdeněk {Šmarda}",
  title="Numerical Solution of Fractional Control Problems via Fractional Differential Transformation",
  booktitle="Proceedings of European Conference on Electrical Engineering and Computer Science 2017",
  year="2017",
  pages="107--111",
  doi="10.1109/EECS.2017.29",
  isbn="978-1-5386-2085-4"
}