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Terminal observer and disturbance observer for the class of fractional-order chaotic systems

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Abstract

In this paper, a terminal fractional-order observer and a terminal disturbance observer is proposed to estimate internal states and external disturbances of the class of fractional-order chaotic systems. The estimation of states within fixed time is achieved by employing a nonlinear feedback in terms of the observer error. The fixed convergence time is not relevant to the initial conditions and can be adjusted to any desired values by tuning the designable parameters. Finally, the numerical simulations are performed on fractional-order chaotic Liu, Chen, and Financial systems to validate the theoretical results. Moreover, some numerical simulations are provided to compare the obtained theoretical results with the other methods in the literature.

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Authors and Affiliations

  1. Department of Electrical Engineering, Shahid Sattari Aeronautical University of Science and Technology, P.O. Box 1599964511, Shamshiri Street, Tehran, Iran

    Mohammad Reza Soltanpour & Mehrdad Shirkavand

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  1. Mohammad Reza Soltanpour
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Correspondence to Mohammad Reza Soltanpour.

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Soltanpour, M.R., Shirkavand, M. Terminal observer and disturbance observer for the class of fractional-order chaotic systems. Soft Comput 24, 8881–8898 (2020). https://doi.org/10.1007/s00500-019-04418-0

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