Title :
State Space Solution to the H-/H∞ Fault Detection Problem
Author :
Li, Zhenhai ; Mazars, Emmanuel ; Jaimoukha, Imad
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll., London
Abstract :
In this paper we give a state space solution to the H-/H∞ fault detection (FD) problem for linear time invariant dynamic systems. An H-/H∞ FD filter minimizes the sensitivity of the residual signal to disturbances while maintaining a minimum level of sensitivity to faults. We provide a state space realization of the optimal filter in an observer form via the solution of linear matrix inequalities (LMIs). A numerical example is given to illustrate the algorithm
Keywords :
H∞ control; fault diagnosis; linear matrix inequalities; observers; state-space methods; H-/H∞ fault detection problem; linear matrix inequalities; linear time invariant dynamic systems; observer; optimal filter; state space solution; Control systems; Data engineering; Eigenvalues and eigenfunctions; Fault detection; Filtering; Linear matrix inequalities; Nonlinear filters; Signal generators; State-space methods; USA Councils;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377222