Robust State-Estimation for Fractional-Order Liouvillian Systems

The present article tackles the problem of the estimation of the state variables of fractional-order Liouvillian chaotic systems in the presence of noise. The particular system is presented in the canonical form and fulfills the fractional algebraic observability for a given output of the system. Th...

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Bibliographic Details
Published in2018 15th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE) pp. 1 - 6
Main Authors Delfin-Prieto, Sergio M., Martinez-Guerra, Rafael, Trejo-Zuniga, Ivan
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.09.2018
Subjects
Asymptotic stability
differentiator
Fractional-order systems
Liouvillian systems
Observability
observer
Observers
Sliding mode control
Uncertainty
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Summary:The present article tackles the problem of the estimation of the state variables of fractional-order Liouvillian chaotic systems in the presence of noise. The particular system is presented in the canonical form and fulfills the fractional algebraic observability for a given output of the system. The proposed methodology is structured as follows: given an output signal corrupted by uncertainty, we estimate several fractional-order derivatives of such signal employing a proposed nα-differentiator which is designed by an observer-based sliding-mode control, then by forming a function that depends on the output and its fractional-order derivatives we estimate the states of a chaotic system successfully.
DOI:10.1109/ICEEE.2018.8533940