Spectral and inner-outer factorizations of rational matrices
SIAM Journal on Matrix Analysis and Applications
Automatica (Journal of IFAC)
Fault detection via factorization approach
Systems & Control Letters
A numerical algorithm for inner-outer factorizations of real-rational matrices
Systems & Control Letters
Automatica (Journal of IFAC)
Robust and optimal control
Robust model-based fault diagnosis for dynamic systems
Robust model-based fault diagnosis for dynamic systems
Issues of Fault Diagnosis for Dynamic Systems
Issues of Fault Diagnosis for Dynamic Systems
Brief An LMI approach to design robust fault detection filter for uncertain LTI systems
Automatica (Journal of IFAC)
Computation of a reference model for robust fault detection and isolation residual generation
Journal of Control Science and Engineering - Robustness Issues in Fault Diagnosis and Fault Tolerant Control
Optimal robust fault detection for linear discrete time systems
Journal of Control Science and Engineering - Robustness Issues in Fault Diagnosis and Fault Tolerant Control
Disturbance attenuation in fault detection of gas turbine engines: a discrete robust observer design
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
Sensor fault detection for linear continuous-time systems
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Characterization of ℋ- index for linear time-varying systems
Automatica (Journal of IFAC)
On-line fault detection and isolation for linear discrete-time uncertain systems
Automatica (Journal of IFAC)
Hi-index | 22.15 |
In this paper we give a matrix factorization 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. More specifically, it minimizes the largest singular value, over the extended imaginary axis, of the transfer matrix from the disturbance to the residual signal vectors subject to the constraint that the singular values of the transfer matrix from the fault to the residual vectors are larger than or equal to 1. We show, through the use of matrix function factorizations and completions, that the problem reduces to a nonstandard model matching problem which is then solved under a mild assumption concerning the rank of a matrix function. We also give an illustrative example.