English

Global Exponential Observers for Two Classes of Nonlinear Systems

Optimization and Control 2011-11-04 v1 Systems and Control

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.

Cite

@article{arxiv.1111.0794,
  title  = {Global Exponential Observers for Two Classes of Nonlinear Systems},
  author = {Iasson Karafyllis and Costas Kravaris},
  journal= {arXiv preprint arXiv:1111.0794},
  year   = {2011}
}

Comments

18 pages, submitted to Systems and Control Letters for possible publication

R2 v1 2026-06-21T19:30:20.380Z