Comments on “A Note on Observers for Discrete-Time Lipschitz Nonlinear Systems”

Author

Zemouche, A. ; Boutayeb, M.

Author_Institution

Centre de Rech. en Autom. de Nancy, Univ. de Lorraine, Cosnes et Romain, France

Volume

60

Issue

1

fYear

2013

fDate

Jan. 2013

Firstpage

56

Lastpage

60

Abstract

This brief deals with the problem of observers design for Lipschitz nonlinear systems in the discrete-time case. The main objective consists to clarify and to correct some recent results in this field. After a state of the art, some analytic comparisons are provided. Two numerical examples are given in order to show the nonsuperiority of the result of the work of Zhang for Lipschitz nonlinearities without any additional assumption: one-sided Lipschitz and quadratically inner bounded properties.

Keywords

discrete time systems; linear matrix inequalities; nonlinear systems; observers; discrete time lipschitz nonlinear systems; discrete-time case; observers design; quadratically inner bounded properties; Chaos; Estimation error; Jacobian matrices; Linear matrix inequalities; Lyapunov methods; Observers; Linear matrix inequality (LMI) approach; Lipschitz systems; observers´ design; one-sided Lipschitz systems;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2012.2234930

Filename

6415259