Autor:

Balaska, Hanane ; Ladaci, Samir ; Djouambi, Abdelbaki ; Schulte, Horst ; Bourouba, Bachir

Współtwórca:

Kołodziej, Joanna - ed. ; Pllana, Sabri - ed. ; Vitabile , Salvatore - ed.

Tytuł:

Fractional order tube model reference adaptive control for a class of fractional order linear systems

Podtytuł:

.

Tytuł publikacji grupowej:

AMCS, volume 30 (2020)

Temat i słowa kluczowe:

fractional order linear system ; model reference adaptive control ; fractional adaptive control ; optimization ; performance tube ; fractional order TMRAC

Abstract:

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.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2020

Typ zasobu:

artykuł

DOI:

10.34768/amcs-2020-0037

Strony:

501-515

Źródło:

AMCS, volume 30, number 3 (2020) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego