Title :
H∞ fault detection and isolation for descriptor systems: a matrix inequalities approach
Author :
Koenig, D. ; Mammar, S. ; Marx, B.
Author_Institution :
Lab. d´´Automatique de Grenoble, UMR CNRS-INPG-UJF, St. Martin d´´Heres, France
Abstract :
A linear matrix inequality (LMI)-based H∞ filtering formulation is presented for fault detection and isolation (FDI) problems of linear time-invariant descriptor systems. The fixed-order H∞ FDI filter design is characterized in terms of definite LMIs with no equality constraint. Using these matrix inequalities, we show that the solvability of a set of matrix inequality is necessary and sufficient to the existence of a proper FDI filter that satisfies a prescribed H∞ norm condition as well as stabilizing the closed-loop system, estimating the faults and eliminating all impulsive modes.
Keywords :
H∞ optimisation; fault diagnosis; fault tolerance; feedback; filtering theory; linear systems; matrix algebra; H∞ fault detection and isolation; closed-loop system; descriptor systems; linear matrix inequality-based filtering formulation; linear time-invariant systems; solvability; Actuators; Closed loop systems; Control systems; Eigenvalues and eigenfunctions; Fault detection; Filters; Linear matrix inequalities; Sensor phenomena and characterization; Sensor systems; Vectors;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1023161
