this paper addresses adaptive observer design problem for joint estimation of the states and unknown parameters for a class of nonlinear systems which satisfying one-sided lipschitz and quadratic inner bounded conditions. it’s shown that the stability of the proposed observer is related to finding solutions to a quadratic inequality consists of state and parameter errors. a coordinate transform...

This paper is a review of the existing methods for designing an observer for a system modeled by 18 nonlinear equations. We focus our attention on autonomous, finite dimensional systems described 19 by ordinary differential equations. The current condition of such a system is described by its state 20 variables about which we just have partial and possibly noisy measurements. The goal of the 21...

Nonlinear observers based on the well-known concept of minimum energy estimation are discussed. The approach relies an output injection operator determined by a Hamilton–Jacobi–Bellman equation whose solution is subsequently approximated neural network. A suitable optimization problem allowing to learn network parameters proposed and numerically investigated for linear nonlinear oscillators.

We introduce a new method for the design of observers for nonlinear systems using backstepping. The method is applicable to a class of nonlinear systems slighter larger than those treated by Gauthier, Hammouri, and Othman [IEEE Trans. Automat. Control, 27 (1992), pp. 875– 880]. They presented an observer design method that is globally convergent using high gain. In contrast to theirs, our obser...