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An Observer for a Class of Incommensurate Fractional Order Systems

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Advances in Synchronization of Coupled Fractional Order Systems

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.

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Notes

  1. 1.

    Equation (8.10) is nonautonomous, but the Lipschitz condition assures a unique solution [1].

References

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Correspondence to Rafael Martínez-Guerra .

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Martínez-Guerra, R., Pérez-Pinacho, C.A. (2018). An Observer for a Class of Incommensurate Fractional Order Systems. In: Advances in Synchronization of Coupled Fractional Order Systems. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-93946-9_8

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