An LMI approach to robust fault detection filter design for discrete-time systems with model uncertainty

Author

Zhong, Maiying ; Ding, Steven X. ; Tang, Bing Ong ; Zhang, Ping ; Jeinsch, Torsten

Author_Institution

Bus. & Manage. Sch., Donghua Univ., Shanghai, China

Volume

4

fYear

2001

fDate

2001

Firstpage

3613

Abstract

Deals with the design of a fault detection filter for discrete-time systems with both model uncertainty and disturbances. We propose an approach to the solution, which consists of two steps: (a) selection of a stable weighting function matrix, optimized in the sense of the maximum sensitivity from the faults to residual signal; (b) formulation of the design of fault detection filters as a model-matching problem and solving the optimization problem using the LMI technique. The achieved results are illustrated by a numerical example

Keywords

H^∞ control; H^∞ optimisation; asymptotic stability; discrete time systems; fault diagnosis; filtering theory; matrix algebra; observers; performance index; robust control; sensitivity; H^∞ control; LMI approach; asymptotic stability; discrete-time systems; fault diagnosis; linear matrix inequality approach; model uncertainty; model-matching problem; observers; optimization problem; performance index; residual generation; robust control; robust fault detection filter; stable weighting function matrix; Design optimization; Electrical fault detection; Engineering management; Fault detection; Filters; Mathematical model; Robust control; Robustness; Transfer functions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980421

Filename

980421