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Erschienen in:
Comparative Study on Fractional Order PID and PID Controllers on Noise Suppression for Manipulator Trajectory Control Kapitel lesen Erstes Kapitel lesen

2017 | OriginalPaper | Buchkapitel

Fractional Inverse Generalized Chaos Synchronization Between Different Dimensional Systems

verfasst von : Adel Ouannas, Ahmad Taher Azar, Toufik Ziar, Sundarapandian Vaidyanathan

Erschienen in: Fractional Order Control and Synchronization of Chaotic Systems

Verlag: Springer International Publishing

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Abstract

In this chapter, new control schemes to achieve inverse generalizedsynchronization (IGS) between fractional order chaotic (hyperchaotic) systems with different dimensions are presented. Specifically, given a fractional master system with dimension n and a fractional slave system with dimension m, the proposed approach enables each master system state to be synchronized with a functional relationship of slave system states. The method, based on the fractional Lyapunov approach and stability property of integer-order linear differential systems, presents some useful features: (i) it enables synchronization to be achieved for both cases \(n<m\) and \(n>m\); (ii) it is rigorous, being based on theorems; (iii) it can be readily applied to any chaotic (hyperchaotic) fractional systems. Finally, the capability of the approach is illustrated by synchronization examples.

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Vorheriges Kapitel On New Fractional Inverse Matrix Projective Synchronization Schemes
Nächstes Kapitel Behavioral Modeling of Chaos-Based Applications by Using Verilog-A
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Metadaten
Titel
Fractional Inverse Generalized Chaos Synchronization Between Different Dimensional Systems
verfasst von
Adel Ouannas
Ahmad Taher Azar
Toufik Ziar
Sundarapandian Vaidyanathan
Copyright-Jahr
2017
Buch
Fractional Order Control and Synchronization of Chaotic Systems

Print ISBN: 978-3-319-50248-9

Electronic ISBN: 978-3-319-50249-6

Copyright-Jahr: 2017

DOI
https://doi.org/10.1007/978-3-319-50249-6_18