An LMI approach to the design of fault detection filter for time-delay LTI systems with unknown inputs

Author

Ding, Steven X. ; Maiying, Zhong ; Bingyong, Tang ; Zhang, P.

Author_Institution

Dept. of Electr. Eng, Lausitz Univ. of Appl. Sci., Senftenberg, Germany

Volume

3

fYear

2001

fDate

2001

Firstpage

2137

Abstract

The robust fault detection problems for time-delay LTI systems with unknown inputs are studied. The basic idea of our study is to express the robustness as well as the sensitivity of residual signals to the unknown inputs as well as to the faults in terms of L_2-gain and, based on it, to formulate the design of fault detection filters as an optimization problem. Applying the H_∞ optimization technique, an LMI approach to the solution of the optimization problem is then proposed. The main results consist of the derivation of the existence conditions of the fault detection filter for time-delay LTI systems and further the solution of the optimal design problem

Keywords

H^∞ optimisation; delay systems; fault diagnosis; filtering theory; linear systems; matrix algebra; H_∞ optimization; delay systems; fault detection filter; linear matrix inequality; linear time invariant systems; Context modeling; Delay systems; Design optimization; Electrical fault detection; Fault detection; Filters; Robust control; Robustness; Signal design; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.946063

Filename

946063