Robust filtering for uncertain nonlinearly parameterized plants

Author

Tuan, Hoang Duong ; Apkarian, Pierre ; Nguyen, Troung Q.

Author_Institution

Dept. of Electr. & Comput. Eng., Toyota Technol. Inst., Nagoya, Japan

Volume

Issue

fYear

2003

fDate

7/1/2003 12:00:00 AM

Firstpage

1806

Lastpage

1815

Abstract

We address the robust filtering problem for a wide class of systems whose state-space data assume a very general nonlinear dependence in the uncertain parameters. Our resolution methods rely on new linear matrix inequality characterizations of H₂ and H_∞ performances, which, in conjunction with suitable linearization transformations of the variables, give rise to practical and computationally tractable formulations for the robust filtering problem.

Keywords

H^∞ optimisation; filtering theory; linear matrix inequalities; state-space methods; H_∞ performance; H₂ performance; linear matrix inequality; linearization transformations; nonlinear dependence; resolution methods; robust filtering; state-space data; uncertain nonlinearly parameterized plants; uncertain parameters; Associate members; Filtering; Linear matrix inequalities; Lyapunov method; Mathematics; Nonlinear filters; Robustness; State estimation; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2003.812745

Filename

1206690

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1221682