A Proposed High-Gain Observer for a Class of Nonlinear Fractional-Order Systems

Dorsaf Etlili, Atef Khedher and Ayachi Errachdi

Mathematical Problems in Engineering, 2021, vol. 2021, 1-14

Abstract:

This paper proposes a high-gain observer for a class of nonlinear fractional-order systems. Indeed, this approach is based on Caputo derivative to solve the estimation problem for nonlinear systems. The proposed high-gain observer is used to estimate the unknown states of a nonlinear fractional system. The use of Lyapunov convergence functions to establish stability of system is detailed. The influence of different fractional orders on the estimation is presented. Ultimately, numerical simulation examples demonstrate the efficiency of the proposed approach.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7844544

DOI: 10.1155/2021/7844544

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