Ramzi Ben Messaoud, Salah Hajji, "Nonlinear Observer Using Mean Value Theorem and Lsqnonlin Matlab Algorithm," WSEAS Transactions on Systems, vol. 17, pp. 191-196, 2018, DOI:
Ramzi Ben Messaoud, Salah Hajji. Nonlinear Observer Using Mean Value Theorem and Lsqnonlin Matlab Algorithm.
WSEAS Transactions on Systems. 2018;17:191-196.
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 17, 2018
Nonlinear Observer Using Mean Value Theorem and Lsqnonlin Matlab Algorithm
Authors: ,
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 $$(e = x -\hat{x})$$ and MVT
parameters $$β_{i}$$ (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 $$\hat{x}= f(x, u))$$ and the second deals with a linear system $$( \hat{x} = Ax + f(x, u)).$$
Keywords:
lsqnonlin algorithm, Nonlinear observer, Nonlinear system, mean value theorem, State estimation
Pages: 191-196 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 17, 2018, Art. #20 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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