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Linear estimator for fractional systems

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Abstract

We address the issue of state estimation of nonlinear incommensurate fractional-order systems via linear observer in this paper. The basic idea is proposed under a synchronization framework which makes the response system a linear observer for the state of the drive system. By developing this approach, a linear time-invariant synchronization error system is obtained, and stability analysis is relied on the theory of linear incommensurate fractional-order systems. The suggested tool proves to be effective and systematic in achieving global synchronization. Simulation results verify and illustrate the effectiveness of the proposed method on some new fractional-order hyperchaotic systems.

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Authors and Affiliations

  1. Young Researchers Club, Islamic Azad University, Tehran Markaz Branch, Tehran, Iran

    Danial Mohammadi Senejohnny

  2. Department of Electrical Engineering, Hamedan University of Technology, Hamedan, 65155, Iran

    Hadi Delavari

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  1. Danial Mohammadi Senejohnny
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  2. Hadi Delavari
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Correspondence to Hadi Delavari.

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Senejohnny, D.M., Delavari, H. Linear estimator for fractional systems. SIViP 8, 389–396 (2014). https://doi.org/10.1007/s11760-012-0302-8

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