Filtering of nonlinear systems with sampled noisy data by output injection

This paper concerns with the state estimation problem of nonlinear systems with sampled noisy measurements. The main idea is to exploit a result of the analysis of nonlinear systems, which considers a class of state-space nonlinear models admitting the design of a deterministic observer with linear error dynamics. Such systems are supposed to provide sampled noisy measurements. A consistent filtering technique is then suitably developed, using the same approach of the mentioned classical result.