Stabilization of chaotic fractional-order Lu ̈ system using sliding mode control

Authors

  • Ms Sakina Benrabah Department of Mathematics, University of Mentouri Brothers Constantine, Algeria
  • Samir Ladaci National Polytechnic School of Constantine
  • Samir BENHADID

DOI:

https://doi.org/10.51485/ajss.v9i1.201

Keywords:

Chaotic System, Fractional Order System, Sliding Mode Control, Lü system

Abstract

In this paper a fractional-order sliding mode controller (FOSMC) is proposed to control the chaotic fractional-order l’s system. Sliding mode control is a robust controller and its objective is to allo the system states to move to the sliding surface and remain on it. The stability analysis for the proposed control is performed based on the Lyapunov stability theorem. Simulation results show the ability of the proposed controller to improve the system performance.

Downloads

Download data is not yet available.

Author Biography

Ms Sakina Benrabah, Department of Mathematics, University of Mentouri Brothers Constantine, Algeria

Ms S Constantine. She is working towards her PhD.akina Benrabah is an assistant professor at the ENS Constantine spacialized in Mathematics. She obtained her Magister from the University of Mentouri Brothers.

Her research interests include chaos, fractional order systems, control and synchronization.

Downloads

Published

2024-03-31

How to Cite

[1]
Benrabah, S., Ladaci, S. and BENHADID, S. 2024. Stabilization of chaotic fractional-order Lu ̈ system using sliding mode control. Algerian Journal of Signals and Systems . 9, 1 (Mar. 2024), 15-19. DOI:https://doi.org/10.51485/ajss.v9i1.201.

Issue

Section

Articles