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 $$( \hat{x} = Ax + f(x, u)).$$