Global Exponential Observers for Two Classes of Nonlinear Systems

TL;DR

This paper establishes conditions for designing global exponential observers for specific classes of nonlinear systems, including those with stable sets and systems evolving on open sets, with practical examples provided.

Contribution

It introduces new sufficient conditions for global exponential observer existence for two classes of nonlinear systems, including robust sampled-data observers.

Findings

Conditions for global exponential observers are derived.

Examples include systems with monotone nonlinearities and chemostat systems.

Robust sampled-data observer construction is demonstrated.

Abstract

This paper develops sufficient conditions for the existence of global exponential observers for two classes of nonlinear systems: (i) the class of systems with a globally asymptotically stable compact set, and (ii) the class of systems that evolve on an open set. In the first class, the derived continuous-time observer also leads to the construction of a robust global sampled-data exponential observer, under additional conditions. Two illustrative examples of applications of the general results are presented, one is a system with monotone nonlinearities and the other is the chemostat system.