A globally Mittag-Leffler bounded high-gain observer for systems with unknown dynamics and noisy measurements

Martínez-Guerra, Rafael; Flores-Flores, Juan Pablo; Govea-Vargas, Arturo

doi:10.1016/j.isatra.2021.11.003

Cited by 2 publications

(1 citation statement)

References 31 publications

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“…In Chen et al (2016), observer-based synchronization of FOC has been introduced. In Martínez-Guerra et al (2022) and Martínez-Fuentes and Martínez-Guerra (2019), a globally Mittag–Leffler observer is designed for nonlinear fractional-order systems. In Martínez-Fuentes et al (2022), generalized synchronization of commensurate FOC systems considering a class of chaotic nonlinear fractional systems of commensurate order called Liouvillian’s systems is done.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of time-varying fractional-order chaotic systems in the presence of unknown disturbance using a fast disturbance identification

Gharamaleki

Badamchizadeh

Ghaemi

et al. 2023

Transactions of the Institute of Measurement and Control

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This paper studies the synchronization of fractional-order chaotic systems in the presence of unknown external disturbances. A new disturbance identification method using fractional-order algebraic identification is proposed to handle unknown disturbances. In order to guarantee system stability, the nonlinear state-feedback controller is designed based on the Lyapunov theory. All system parameters and orders, as well as the external disturbances, are considered time-varying in this paper. The simulation results show that the estimation of unknown disturbance is executed more quickly and accurately using the proposed method, which also leads to fast and precise synchronization of the chaotic systems. A circuit implementation is also performed to identify the unknown disturbances in a fractional-order electronic chaotic oscillator system to evaluate the practicability of the proposed approach.

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