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Optimally robust redundancy relations for failure detection in uncertain systems (1986)
| Content Provider | CiteSeerX |
|---|---|
| Author | Lou, Xi-Cheng Willskyt, T. Alan S. Verghese, George C. |
| Abstract | A geometric interpretation of the concept of analytical redundancy leads to computationally simple procedures, involving singular value decompositions, Jor determining redundancy relations that are maximally insensitive to model uncertainties. Key Words--Failure detection; robustness; model reduction; least-squares approximation; linear systems. Al~traet--All failure detection methods are based, either explicitly or implicitly, on the use of redundancy, i.e. on (possibly dynamic) relations among the measured variables. The robustness of the failure detection process consequently depends to a great degree on the reliability of the redundancy relations, which in turn is affected by the inevitable presence of model uncertainties. In this paper the problem of determining redundancy relations that are optimally robust is addressed in a sense that includes several major issues of importance in practical failure detection and that provides a significant amount of intuition concerning the geometry of robust failure detection. A procedure is given involving the construction of a single matrix and 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 levels of robustness in redundancy provided by different sets of sensors. 1. |
| File Format | |
| Journal | Automatica |
| Language | English |
| Publisher Date | 1986-01-01 |
| Access Restriction | Open |
| Subject Keyword | Redundancy Relation Robust Redundancy Relation Uncertain System Failure Detection Singular Value Decomposition Complete Sequence Geometric Interpretation Single Matrix Robust Failure Detection Analytical Redundancy Linear System Failure Detection Process Great Degree Several Major Issue Different Set Inevitable Presence Key Word Failure Detection Practical Failure Detection Least-squares Approximation Model Uncertainty Measured Variable Failure Detection Method Significant Amount Simple Procedure |
| Content Type | Text |
| Resource Type | Article |
