An LMI approach to H∞ filtering of uncertain systems

Author

Hong, Liang ; Chang, Xiao-Heng

Author_Institution

Sch. of Mech. Electron. & Inf. Eng., China Univ. of Min. & Technol., Beijing, China

fYear

2012

fDate

23-25 May 2012

Firstpage

381

Lastpage

384

Abstract

This paper studies the H_∞ filtering problem of linear uncertain systems with polytopic uncertainties. By introducing some slack matrices and using the parameter-dependent Lyapunov function approaches, sufficient conditions for the existence of such filter are expressed in terms of linear matrix inequalities (LMIs). And, a convex analysis procedure is implemented to derive the filter gain matrices. Finally, a numerical example is presented to illustrate the theoretical developments.

Keywords

H_∞ filters; Lyapunov methods; linear matrix inequalities; linear systems; uncertain systems; H∞ filtering problem; LMI approach; convex analysis procedure; linear matrix inequalities; linear uncertain systems; parameter-dependent Lyapunov function approaches; polytopic uncertainties; slack matrices; Filtering; Linear matrix inequalities; Lyapunov methods; Noise; Robustness; Symmetric matrices; Uncertain systems; H∞ filtering; Linear matrix inequalities (LMIs); Uncertain systems; parameter-dependent Lyapunov function; slack matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244057

Filename

6244057