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

Identyfikatory

DOI

10.34768/amcs-2020-0037

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

PL

system ułamkowego rzędu; system liniowy; sterowanie adaptacyjne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2020
• Tom: Vol. 30, no. 3
• Strony: 501--515
• Opis fizyczny: Bibliogr. 57 poz., rys., tab., wykr.

Twórcy

autor

Balaska Hanane

• LGEA Laboratory, Department of Electrical Engineering, University of Oum El-Bouaghi, Oum El-Bouaghi 04000, Algeria

autor

Ladaci Samir

• Department of Electronics, Electrical Engineering and Automation, National Polytechnic School of Constantine, N.V. Ali Mendjli, Constantine 25100, Algeria; SP-LAB Laboratory, Department of Electronics, Mentouri University of Constantine 1, Route de Ain Elbey, Constantine 25000, Algeria

autor

Djouambi Abdelbaki

• LGEA Laboratory, Department of Electrical Engineering, University of Oum El-Bouaghi, Oum El-Bouaghi 04000, Algeria

autor

Schulte Horst

• School of Engineering—Energy and Information, University of Applied Sciences (HTW) Berlin, Wilhelminenhofstrasse 75A, 12459 Berlin, Germany

autor

Bourouba Bachir

• Department of Electrical Engineering, Setif-1 University, BP: El Bez, Stif 19000, Algeria

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).