- Tytuł:
- Fractional order tube model reference adaptive control for a class of fractional order linear systems
- Autorzy:
-
Balaska, Hanane
Ladaci, Samir
Djouambi, Abdelbaki
Schulte, Horst
Bourouba, Bachir - Powiązania:
- https://bibliotekanauki.pl/articles/330930.pdf
- Data publikacji:
- 2020
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
fractional order system
linear system
model reference adaptive control
fractional adaptive control
performance tube
fractional order TMRAC
system ułamkowego rzędu
system liniowy
sterowanie adaptacyjne - Opis:
- We introduce a novel fractional order adaptive control design based on the tube model reference adaptive control (TMRAC) scheme for a class of fractional order linear systems. By considering an adaptive state feedback control configuration, the main idea is to replace the classical reference model with a single predetermined trajectory by a fractional order performance tube guidance model allowing a set of admissible trajectories. Besides, an optimization problem is formulated to compute an on-line correction control signal within specified bounds in order to update the system performance while minimizing a control cost criterion. The asymptotic stability of the closed loop fractional order control system is demonstrated using an extension of the Lyapunov direct method. The dynamical performance of the fractional order tube model reference adaptive control (FOTMRAC) is compared with the standard fractional order model reference adaptive control (FOMRAC) strategy, and the simulation results show the effectiveness of the proposed control method.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 501-515
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł