Nonlinear observer design for a class of Lipschitz time-delay systems with unknown inputs: LMI approach

Author

Delshad, S.S. ; Gustafsson, T.

Author_Institution

Div. of Syst. & Interaction, Lulea Univ. of Technol., Luleå, Sweden

fYear

2011

fDate

27-29 Oct. 2011

Firstpage

1

Lastpage

5

Abstract

In this paper, we consider a method to design a full-order nonlinear observer for a class of nonlinear time-delay systems with unknown inputs. Based on Lyapunov-Krasovskii functional, we derive a sufficient condition for existence of the designed observer which requires solving a set of nonlinear matrix inequalities. Then, the achieved condition is formulated in terms of two linear matrix inequalities (LMIs). Finally, the proposed observer is illustrated with an example.

Keywords

Lyapunov methods; control system synthesis; delays; linear matrix inequalities; nonlinear control systems; observers; LMI approach; Lipschitz time-delay system; Lyapunov-Krasovskii functional; linear matrix inequalities; nonlinear matrix inequalities; nonlinear observer design; Conferences; Delay; Delay effects; Linear matrix inequalities; Nonlinear systems; Observers; Sufficient conditions; LMI Approach; Nonlinear Observer; Time-Delay Systems; Unknown Inputs;

fLanguage

English

Publisher

ieee

Conference_Titel

Information, Communication and Automation Technologies (ICAT), 2011 XXIII International Symposium on

Conference_Location

Sarajevo

Print_ISBN

978-1-4577-0744-5

Type

conf

DOI

10.1109/ICAT.2011.6102095

Filename

6102095