A synchronization scheme for partially known nonlinear fractional order systems

Juan L. Mata-Machuca, Rafael Martínez-Guerra

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this work a synchronization scheme for partially known nonlinear fractional order systems is proposed. In this approach the unknown dynamics is considered as the master system and the slave system estimates the unknown variables. For solving this problem we introduce a Fractional Algebraic Observability (FAO) property which is used as a main tool in the design of the master system. As numerical example we consider a fractional order Lorenz chaotic system and by means of some simulations we show the effectiveness of the suggested approach.

Original languageEnglish
Title of host publication3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012
PublisherIFAC Secretariat
Pages149-153
Number of pages5
Edition12
ISBN (Print)9783902823021
DOIs
StatePublished - 2012
Externally publishedYes
Event3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012 - Cancun, Mexico
Duration: 20 Jun 201222 Jun 2012

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number12
Volume45
ISSN (Print)1474-6670

Conference

Conference3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012
Country/TerritoryMexico
CityCancun
Period20/06/1222/06/12

Keywords

  • Fractional Algebraic Observability
  • Fractional chaotic systems
  • Fractional order Lorenz chaotic system
  • Nonlinear fractional order systems
  • Synchronization

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