Title: Observer-based model reference control for linear fractional-order systems

Authors: Assaad Jmal; Omar Naifar; Abdellatif Ben Makhlouf; Nabil Derbel; Mohamed Ali Hammami

Addresses: Control and Energy Management Laboratory, National School of Engineering, Sfax University, BP 1173, Sfax 3038, Tunisia ' Control and Energy Management Laboratory, National School of Engineering, Sfax University, BP 1173, Sfax 3038, Tunisia ' Department of Mathematics, College of Science, Aljouf University, Aljouf 2014, Saudi Arabia ' Control and Energy Management Laboratory, National School of Engineering, Sfax University, BP 1173, Sfax 3038, Tunisia ' Department of Mathematics, Faculty of Sciences of Sfax, Sfax University, BP 1171, Sfax 3000, Tunisia

Abstract: In the literature, the issue of designing model-reference controllers for integer-order systems has been extensively addressed. The extension of the existing works to the fractional-order calculus is still a fertile field of research. It is within this context that the present paper is established. Herein, a new observer-based model-reference control scheme is proposed for linear fractional-order systems. The developed methodology is based on the Caputo definition of fractional derivatives, the Lyapunov theory and the linear matrix inequality (LMI) technique. Finally, a simulation study is given in order to support the theoretical findings of the paper.

Keywords: model reference control; fractional-order systems; linear systems; observer.

DOI: 10.1504/IJDSSS.2018.093192

International Journal of Digital Signals and Smart Systems, 2018 Vol.2 No.2, pp.136 - 149

Received: 02 Aug 2017
Accepted: 06 Feb 2018
Published online: 13 Jul 2018 *

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