H∞ filtering of 2-D FM LSS model with state delays

Author

Dan, Peng ; Xinping, Guan ; Yumei, Li ; Cailian, Chen

Author_Institution

Yanshan Univ., Qinhuangdao

fYear

2008

fDate

16-18 July 2008

Firstpage

184

Lastpage

188

Abstract

In this paper, we deal with H_infin filtering problem for a class of two-dimensional (2-D) discrete time-invariant systems with state delays described by local state-space (LSS) Fornasini-Marchesini (FM) second model. Based on the bounded real lemma of 2-D state-delayed systems, H_infin filtering design is developed, such that the filtering error system is asymptotically stable and has H_infin performance gamma via LMIspsila feasibility. Furthermore, the minimum H_infin norm bound gamma can be obtained by solving a linear objective optimization problem. A numerical example is given to demonstrate the effectiveness and advantage of our result.

Keywords

H^infin control; asymptotic stability; delays; discrete time systems; filtering theory; linear matrix inequalities; optimisation; state-space methods; 2-D FM LSS model; H_infin filtering; H_infin norm bound; LMI; bounded real lemma; linear objective optimization problem; local state-space Fornasini-Marchesini second model; state delays; two-dimensional discrete time-invariant systems; Attenuation; Control systems; Delay systems; Filtering; Hydrogen; Kalman filters; Nonlinear filters; Stability; Two dimensional displays; White noise; 2-D state-delayed systems; H∞ disturbance attenuation; H∞ filtering; Linear matrix inequality (LMI);

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4605865

Filename

4605865