A time domain approach to robust fault detection of linear time-varying systems

Author

Li, Xiaobo ; Zhou, Kemin

Author_Institution

Louisiana State Univ., Baton Rouge

fYear

2007

fDate

12-14 Dec. 2007

Firstpage

1015

Lastpage

1020

Abstract

This paper gives the optimal solutions to several robust fault detection problems such as H_-/H_infin, H₂/H_infin and H_infin /H_infin problems for linear time varying systems in time domain, which extends the previous results on linear time invariant systems in frequency domain. It is shown that all three problems have the same optimal detection filter and the filter is a simple observer by solving a standard differential Riccati equation. Finally, an example is given to illustrate our results.

Keywords

H^infin control; Riccati equations; fault diagnosis; linear systems; robust control; time-varying systems; H₂/H_infin problem; H_infin/H_infin problem; H_/H_infin problem; differential Riccati equation; frequency domain; linear time invariant systems; linear time varying systems; optimal detection filter; optimal solutions; robust fault detection; time domain approach; Aerospace industry; Fault detection; Filters; Frequency domain analysis; Hydrogen; Riccati equations; Robust control; Robustness; Time invariant systems; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2007 46th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

978-1-4244-1497-0

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2007.4434225

Filename

4434225