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

Dorsaf Etlili | Zendy; Atef Khedher | Zendy; Ayachi Errachdi | Zendy

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

Author(s) -

Dorsaf Etlili,

Atef Khedher,

Ayachi Errachdi

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/7844544

Subject(s) - nonlinear system , observer (physics) , control theory (sociology) , convergence (economics) , mathematics , stability (learning theory) , fractional calculus , class (philosophy) , high gain antenna , fractional order system , lyapunov function , computer science , engineering , control (management) , artificial intelligence , physics , quantum mechanics , machine learning , electrical engineering , economics , economic growth

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.

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