State and parameter estimation: a nonlinear Luenberger observer approach

2015/11/24 by Afri, Chouaib, Andrieu, Vincent, Bako, Laurent +1 · 3 citations
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1511.07687

Abstract

The design of a nonlinear Luenberger observer for a parametrized linear SISO (single-input single-output) system is studied. From an observability assumption of the system, the existence of such an observer is concluded. In a second step, a novel algorithm for the identification of such systems is suggested and is implemented on a third order system. Compared to the adaptive observer available in the litterature, it has the advantage to be of low dimension and to admit a strict Lyapunov function. This is a long version of a paper which is published in IEEE TAC 2017.

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