Other Articles by Author(s)

Ramzi Ben Messaoud
Salah Hajji

Author(s) and WSEAS

Ramzi Ben Messaoud
Salah Hajji

WSEAS Transactions on Systems

Print ISSN: 1109-2777
E-ISSN: 2224-2678

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 17, 2018

Nonlinear Observer Using Mean Value Theorem and Lsqnonlin Matlab Algorithm

AUTHORS: Ramzi Ben Messaoud, Salah Hajji

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ABSTRACT: In this article, we propose a new nonlinear observer concept. The basic idea for our observer’s design is to use mean value theorem (MVT) and lsqnonlin algorithm to determine the estimation error (e = x−xˆ) and MVT parameters βi (between 0 and 1) . The stability study is carried out thanks to the quadratic function of Lyapunov. Two numerical examples are provided to show the performance of the proposed approach. The first studies a chaotic system with a linear term ( ˙x = f(x, u)) and the second deals with a linear system ( ˙x = Ax + f(x, u)).

KEYWORDS: lsqnonlin algorithm;Nonlinear observer; Nonlinear system; mean value theorem; State estimation


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WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 17, 2018, Art. #20, pp. 191-196

Copyright © 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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