- Tytuł:
- Robust fractional adaptive control based on the strictly positive realness condition
- Autorzy:
-
Ladaci, S.
Charef, A.
Loiseau, J. J. - Tematy:
-
sterowanie odporne
sterowanie adaptacyjne
sprzężenie do przodu
rachunek ułamkowy
positive realness
robust control
adaptive control
fractional adaptive control
model reference adaptive control
feedforward
fractional calculus - Pokaż więcej
- Data publikacji:
- 2009
- Powiązania:
- https://bibliotekanauki.pl/articles/907854.pdf Link otwiera się w nowym oknie
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2009, 19, 1; 69-76
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Opis:
- This paper presents a new approach to robust adaptive control, using fractional order systems as parallel feedforward in the adaptation loop. The problem is that adaptive control systems may diverge when confronted with finite sensor and actuator dynamics, or with parasitic disturbances. One of the classical robust adaptive control solutions to these problems makes use of parallel feedforward and simplified adaptive controllers based on the concept of positive realness. The proposed control scheme is based on the Almost Strictly Positive Realness (ASPR) property of the plant. We show that this condition implies also robust stability in the case of fractional order controllers. An application to Model Reference Adaptive Control (MRAC) with a fractional order adaptation rule is provided with an implementable algorithm. A simulation example of a SISO robust adaptive control system illustrates the advantages of the proposed method in the presence of disturbances and noise.
- Dostawca treści:
- Biblioteka Nauki
Artykuł