DocumentCode :
3292373
Title :
Fault detection for linear discrete-time invariant systems with decoupling and optimization
Author :
Li, Xiaobo ; Zhou, Kemin
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
fYear :
2009
fDate :
15-18 Dec. 2009
Firstpage :
990
Lastpage :
995
Abstract :
This paper discusses the robust fault detection design for the criteria such as ¿-/¿¿,¿2/¿¿ and¿¿/¿¿ in which Gd, the transfer function from disturbance to the measurement output, is a tall transfer matrix and Dd is not full column rank. It is shown that the faults in a subspace can be made arbitrarily sensitive, while the faults in the complementary subspace have bounded sensitivities that are maximized by our filter. We also discuss the decoupling and non-decoupling conditions, and their relations with image spaces of Gd and Gf (the transfer function from disturbance to the measurement output and the transfer function from fault to the measurement output). Furthermore, based on the optimal filter, a method is given to partially decouple the disturbance from the residual without impacting the rest of the fault sensitivities. An example is given to illustrate our results.
Keywords :
H¿ control; discrete time systems; linear systems; optimisation; robust control; transfer function matrices; decoupling condition; discrete-time system; image spaces; invariant system; linear system; nondecoupling condition; optimal filter; optimization; robust fault detection; transfer function; Design optimization; Extraterrestrial measurements; Fault detection; Filters; Hydrogen; Predictive models; Robustness; Signal generators; Transfer functions; Uncertainty; ℋ- index; Decoupling; Fault Detection; Robustness;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
ISSN :
0191-2216
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
Type :
conf
DOI :
10.1109/CDC.2009.5399483
Filename :
5399483
Link To Document :
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