- Tytuł:
- Application of Newtons Method to Analog and Digital Realization of Fractional-order Controllers
- Autorzy:
-
Tepljakov, A.
Petlenkov, E.
Belikov, J. - Powiązania:
- https://bibliotekanauki.pl/articles/397975.pdf
- Data publikacji:
- 2012
- Wydawca:
- Politechnika Łódzka. Wydział Mikroelektroniki i Informatyki
- Tematy:
-
pochodna ułamkowa
metoda Newtona
metoda Carlsona
MATLAB
transmitancja operatorowa
fractional calculus
Newton's method
Carlson's method
implicit fractional transfer function
fractional power zero-pole - Opis:
- In this paper, a method for approximating a first-order implicit fractional transfer function, that corresponds to a frequency-bounded fractional differentiator or integrator, is presented. The proposed method is based on a modification of the well-known Newton's method for iterative root approximation. First-order implicit fractional transfer functions have several applications in modeling and control. This type of transfer function is the basis for the fractional lead-lag compensator. In the following, we provide the description of our algorithm, that enhances the existing technique, and illustrate its use in analog and digital implementations of fractional-order systems and controllers with relevant examples and comments.
- Źródło:
-
International Journal of Microelectronics and Computer Science; 2012, 3, 2; 45-52
2080-8755
2353-9607 - Pojawia się w:
- International Journal of Microelectronics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł