Optimally Robust Redundancy Relations for Failure Detection in Uncertain Systems,
Abstract
All failure detection methods are based, either explictly or implicitly on the use of redundancy, that is on (possibly dynanic) relations among the measured variables. Consequently the robustness of the failure detection process depends to a great degree on the reliability of the redundancy relations given the inevitable presence of model uncertainties. In this paper the authors address the problem of determining redundancy relations which are optimally robust in a sense which includes the major issues of importance in practical failure detection and which provides them with a significant amount of intuition concerning the geometry of robust failure detection. In addition, they provide a procedure involving the construction of a single matrix and the computation of its singular value decomposition, for the determination of a complete sequence of redundancy relations ordered in terms of their level of robustness. This procedure also provides the basis for comparing robust levels of redundancy provided by different sets of sensors. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1983
- Accession Number
- ADA135949
Entities
People
- A. S. Willsky
- G. C. Verghese
- X. C. Lou
Organizations
- Massachusetts Institute of Technology