Finite-time H∞ functional filter design for a class of descriptor linear systems

Author

Delattre, Cedric ; Bhiri, Bassem ; Zemouche, A. ; Souley-Ali, Harouna ; Zasadzinski, Michel ; Abderrahim, Kamel

Author_Institution

CRAN, Univ. de Lorraine, Cosnes et Romain, France

fYear

2014

fDate

16-19 June 2014

Firstpage

1572

Lastpage

1577

Abstract

In this paper, we design a finite-time H_∞ observer. The system under consideration is a linear descriptor system subject to time-varying norm bounded disturbances. The aim of this paper is focused on the design of a state observer which ensures that the estimation error is finite-time bounded and minimizes the effect of the disturbances. A non bias condition is presented for the solvability of this problem, which is reduced to a problem involving linear matrix inequalities (LMIs). Finally, a numerical example is given to show the validity of the proposed methodology.

Keywords

H_∞ filters; computability; control system synthesis; linear matrix inequalities; linear systems; observers; time-varying systems; LMI; descriptor linear systems; estimation error; finite-time H_∞ functional filter design; finite-time H_∞ observer design; linear descriptor system; linear matrix inequalities; non bias condition; solvability; state observer; time-varying norm bounded disturbances; Equations; Estimation error; Linear systems; Numerical stability; Observers; Stability criteria; Descriptor systems; Finite-time stable observer; H∞ functional filter;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation (MED), 2014 22nd Mediterranean Conference of

Conference_Location

Palermo

Print_ISBN

978-1-4799-5900-6

Type

conf

DOI

10.1109/MED.2014.6961599

Filename

6961599