- Tytuł:
- The Lepschy stability test and its application to fractional-order systems
- Autorzy:
-
Casagrande, Daniele
Krajewski, Wiesław
Viaro, Umberto - Powiązania:
- https://bibliotekanauki.pl/articles/1409108.pdf
- Data publikacji:
- 2021
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
fractional-order systems
D-stability
recursive algorithms
complex polynomials
root locus
symmetries
control-theory didactics - Opis:
- It is shown how a stability test, alternative to the classical Routh test, can profitably be applied to check the presence of polynomial roots inside half-planes or even sectors of the complex plane. This result is obtained by exploiting the peculiar symmetries of the root locus in which the basic recursion of the test can be embedded. As is expected, the suggested approach proves useful for testing the stability of fractional-order systems. A pair of examples show how the method operates. It is believed that the suggested geometric approach can also be of some didactic value in introducing basic control-system tools to engineering students.
- Źródło:
-
Archives of Control Sciences; 2021, 31, 1; 145-163
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki