A Proposed High-Gain Observer for a Class of Nonlinear Fractional-Order Systems-Reference-Cited by-同舟云学术

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

Published:2021-07-26 Issue: Volume:2021 Page:1-14
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Etlili Dorsaf¹^ORCID,Khedher Atef¹^ORCID,Errachdi Ayachi¹^ORCID

Affiliation:

1. Tunis El Manar University, National Engineering School of Tunis, Department of Electrical Engineering, Le Belvédère B.P. 37, Tunis 1002, Tunisia

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.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2021/7844544.pdf

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