Fractional Order Memristor No Equilibrium Chaotic System with Its Adaptive Sliding Mode Synchronization and Genetically Optimized Fractional Order PID Synchronization-Reference-Cited by-同舟云学术

Fractional Order Memristor No Equilibrium Chaotic System with Its Adaptive Sliding Mode Synchronization and Genetically Optimized Fractional Order PID Synchronization

Published:2017 Issue: Volume:2017 Page:1-19
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Rajagopal Karthikeyan¹^ORCID,Guessas Laarem¹,Karthikeyan Anitha¹,Srinivasan Ashokkumar¹,Adam Girma¹

Affiliation:

1. Centre for Non-Linear Dynamics, Defense University, Addis Ababa, Ethiopia

Abstract

This paper introduces a fractional order memristor no equilibrium (FOMNE) chaotic system and investigates its adaptive sliding mode synchronization. Firstly the dynamic properties of the integer order memristor no equilibrium system are analyzed. The fractional order memristor no equilibrium system is then derived from the integer order model. Lyapunov exponents and bifurcation with fractional order are investigated. An adaptive sliding mode control algorithm is derived to globally synchronize the identical fractional order memristor systems and genetically optimized fractional order PID controllers are designed and used to synchronize the FOMNE systems. Finally the fractional order memristor no equilibrium system is realized using FPGA.

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2017/1892618.pdf

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