Global Exponential Observers for Two Classes of Nonlinear Systems

Details Global Exponential Observers for Two Classes of Nonlinear Systems Global Exponential Observers for Two Classes of Nonlinear Systems

2011-11-03

arxiv.org/abs/1111.0794v1

Mathematics

Optimization and Control

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

Scientific paper

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.

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