Designing a Secure Mechanism for Image Transferring System Based on Uncertain Fractional Order Chaotic Systems and NLFPID Sliding Mode Controller-Reference-Cited by-同舟云学术

Designing a Secure Mechanism for Image Transferring System Based on Uncertain Fractional Order Chaotic Systems and NLFPID Sliding Mode Controller

Published:2023-08-28 Issue:9 Volume:12 Page:828
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Rasouli Mohammad¹^ORCID,Zare Assef²³^ORCID,Yaghoubi Hassan⁴^ORCID,Alizadehsani Roohallah⁵^ORCID

Affiliation:

1. College of Skills and Entrepreneurship, Mashhad Branch, Islamic Azad University, Mashhad 9187147578, Iran

2. Faculty of Electrical Engineering, Gonabad Branch, Islamic Azad University, Gonabad 6518115743, Iran

3. Research Center of Intelligent Technologies in Electrical Industry, Islamic Azad University, Gonabad 6518115743, Iran

4. Department of Electrical and Electronic Engineering, Gonabad Branch, Islamic Azad University, Gonabad 6518115743, Iran

5. Institute for Intelligent Systems Research and Innovation (IISRI), Deakin University, Waurn Ponds, Geelong, VIC 3216, Australia

Abstract

A control method for the robust synchronization of a class of chaotic systems with unknown time delay, unknown uncertainty, and unknown disturbance is presented. The robust controller was designed using a nonlinear fractional order PID sliding surface. The Lyapunov method was used to determine the update laws, prove the stability of the proposed mechanism, and guarantee the convergence of the synchronization errors to zero. The simulation was performed using MATLAB software to evaluate the performance of the proposed mechanism, and the results showed that it was efficient. Finally, the proposed method was combined with a secure communication application to encrypt images, and the results obtained were favorable regarding the standard criteria of correlation, NPCR, PSNR, and information entropy.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/9/828/pdf

Reference27 articles.

1. Deterministic Non-Periodic Flow;Lorenz;J. Atmos. Sci.,1963

2. Yet Another Chaotic Attractor;Chen;Int. J. Bifurc. Chaos Appl. Sci. Eng.,1999

3. A New Chaotic Attractor Coined;Chen;Int. J. Bifurc. Chaos Appl. Sci. Eng.,2002

4. A New Chaotic Attractor;Liu;Chaos Solitons Fractals,2004

5. Series representations for fractionalcalculus operators involving generalised Mittag-Leffler functions;Fernandez;Commun. Nonlinear Sci. Numer. Simul.,2019