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Chaos synchronization of fractional-order chaotic systems with input saturation

[+] Author and Article Information
Pitcha Khamsuwan

Department of Mechanical and Aerospace Engineering, Faculty of Engineering, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
pitcha007@gmail.com

Teerawat Sangpet

Department of Mechanical and Aerospace Engineering, Faculty of Engineering, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
teerawat.s@eng.kmutnb.ac.th

Suwat Kuntanapreeda

Department of Mechanical and Aerospace Engineering, Faculty of Engineering, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
suwat@kmutnb.ac.th

1Corresponding author.

ASME doi:10.1115/1.4039681 History: Received June 13, 2017; Revised March 11, 2018

Abstract

This paper deals with the problem of master-slave synchronization of fractional-order chaotic systems with input saturation. Sufficient stability conditions for achieving the synchronization are derived from the basis of a fractional-order extension of the Lyapunov direct method, a new lemma of the Caputo fractional derivative, and a local sector condition. The stability conditions are formulated in Linear Matrix Inequality (LMI) forms and therefore are readily solved. The fractional-order chaotic Lorenz and hyperchaotic Lü systems with input saturation are utilized as illustrative examples. The feasibility of the proposed synchronization scheme is demonstrated through numerical simulations.

Copyright (c) 2018 by ASME
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