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Non-Fragile Fuzzy Output Feedback Synchronization of a New Chaotic System: Design and Implementation

[+] Author and Article Information
Arian Azarang

Department of Communication and Electronic Eng., School of Electrical and Computer Eng., Shiraz University, Shiraz, Iran
arianazarang@gmail.com

Mehdi Miri

Department of Communication and Electronic Eng., School of Electrical and Computer Eng., Shiraz University, Shiraz, Iran
miri@shirazu.ac.ir

Sadegh Kamaee

Department of Communication and Electronic Eng., School of Electrical and Computer Eng., Shiraz University, Shiraz, Iran
sadegh.kamaee.bah@ut.ac.ir

Mohammad Hassan Asemani

Department of Power and Control Eng., School of Electrical and Computer Eng., Shiraz University, Shiraz, Iran
asemani@shirazu.ac.ir

1Corresponding author.

ASME doi:10.1115/1.4037416 History: Received February 27, 2017; Revised July 11, 2017

Abstract

A new three dimensional chaotic system is proposed with four nonlinear terms which include two quadratic terms. To analyze the dynamical properties of the new system, mathematical tools such as Lyapunov exponents, Kaplan-York dimensions, observability constants and bifurcation diagram have been exploited. Results of these calculations verify specific features of the new system and further determine effect of different system parameters on its dynamics. The proposed system has been experimentally implemented as an analog circuit which practically confirms its predicted chaotic behavior. Moreover, the problem of master-slave synchronization of the proposed chaotic system is considered. To solve this problem, we propose a new method for designing a non-fragile Takagi-Sugeno (T-S) fuzzy static output feedback synchronizing controller for a general chaotic T-S system and applied the method to the proposed system. Some practical advantages are achieved employing the new nonlinear controller as well as using system output data instead of the full-state data and considering gain variations because of uncertainty in values of practical components used in implementation the controller. Then, the designed controller has been realized using analog devices to synchronize two circuits with the proposed chaotic dynamics. Experimental results show that the proposed non-fragile controller successfully synchronizes the chaotic circuits even with inexact analog devices.

Copyright (c) 2017 by ASME
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