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An Observer for a Class of Incommensurate Fractional Order Systems

  • Rafael Martínez-GuerraEmail author
  • Claudia Alejandra Pérez-Pinacho
Chapter
Part of the Understanding Complex Systems book series (UCS)

Abstract

The main contribution in this chapter is to show a new observer for the synchronization problem in partially known nonlinear incommensurate fractional-order systems, we propose a novel technique using the master–slave synchronization scheme for estimating the unknown state variables based on a new IFAO property. As far as we know in the literature, this class of estimation scheme has not been used in incommensurate fractional-order systems.

References

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    A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier B.V., (2006).CrossRefGoogle Scholar
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    Mohammad Saleh Tavazoei, Mohammad Haeri, Chaotic attractors in incommensurate fractional order systems, Physica D 237, 2628–2637, (2008).Google Scholar
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    R. Caponetto,G. Dongola, L. Fortuna,I. Petrás, Fractional Order Systems,World Scientific Series on Nonlinear Science, Series A. Vol. 72, 53–75, (2010).Google Scholar
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    W.C. Chen, Nonlinear dynamics and chaos in a fractional-order financial system, Chaos, Solitons and Fractals, 36 (5), 1305–1314, (2008).ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Rafael Martínez-Guerra
    • 1
    Email author
  • Claudia Alejandra Pérez-Pinacho
    • 1
  1. 1.Automatic ControlCINVESTAV-IPNMexico CityMexico

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